Compare commits
16
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| Author | SHA1 | Date | |
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4d61e4807a | ||
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29bf750349 | ||
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97368ef77f | ||
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2fbe31f57a | ||
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d27ca5e40c | ||
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fd9aa3afeb | ||
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7b3e124613 | ||
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c09d22b6c0 | ||
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4b6ab370ca | ||
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adb40b62f7 | ||
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cfcbbfd6cf | ||
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f36a7f40f2 | ||
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0138d7fbd9 | ||
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2ae20dde47 | ||
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a360b53521 | ||
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fb9a4d61d2 |
+1
-3
@@ -43,9 +43,7 @@ before_build:
|
||||
build_script:
|
||||
- cmake --build build_parallel
|
||||
- cmake --build build_serial
|
||||
- cmake --build build_serial --target exec
|
||||
|
||||
after_build:
|
||||
# - cmake --build build_parallel --target check
|
||||
- cmake --build build_serial --target RUN_TESTS
|
||||
|
||||
- cmake --build build_serial --target check
|
||||
|
||||
-18
@@ -45,8 +45,6 @@ examples/ex[1-9]
|
||||
examples/ex[1-9]p
|
||||
examples/ex1[04-9]
|
||||
examples/ex1[0-9]p
|
||||
examples/ex2[0-9]
|
||||
examples/ex2[0-9]p
|
||||
|
||||
examples/refined.mesh
|
||||
examples/displaced.mesh
|
||||
@@ -78,13 +76,6 @@ examples/vortex-?-init.*
|
||||
examples/vortex-?-final.*
|
||||
examples/deformation.*
|
||||
examples/pressure.*
|
||||
examples/ex20.dat
|
||||
examples/ex20p_?????.dat
|
||||
examples/gnuplot_ex20.inp
|
||||
examples/gnuplot_ex20p.inp
|
||||
examples/ex22*.mesh
|
||||
examples/ex22*.sol
|
||||
examples/ex22p_*.*
|
||||
|
||||
examples/sundials/ex9
|
||||
examples/sundials/ex1[06]
|
||||
@@ -142,20 +133,16 @@ miniapps/electromagnetics/Joule_*
|
||||
|
||||
miniapps/meshing/mobius-strip
|
||||
miniapps/meshing/klein-bottle
|
||||
miniapps/meshing/toroid
|
||||
miniapps/meshing/mesh-explorer
|
||||
miniapps/meshing/shaper
|
||||
miniapps/meshing/extruder
|
||||
miniapps/meshing/mesh-optimizer
|
||||
miniapps/meshing/pmesh-optimizer
|
||||
|
||||
miniapps/meshing/mobius-strip.mesh
|
||||
miniapps/meshing/klein-bottle.mesh
|
||||
miniapps/meshing/toroid-*.mesh
|
||||
miniapps/meshing/mesh-explorer.mesh
|
||||
miniapps/meshing/partitioning.txt
|
||||
miniapps/meshing/shaper.mesh
|
||||
miniapps/meshing/extruder.mesh
|
||||
miniapps/meshing/optimized*
|
||||
miniapps/meshing/perturbed*
|
||||
|
||||
@@ -169,7 +156,6 @@ miniapps/performance/sol.*
|
||||
miniapps/tools/display-basis
|
||||
miniapps/tools/load-dc
|
||||
miniapps/tools/convert-dc
|
||||
miniapps/tools/lor-transfer
|
||||
|
||||
miniapps/nurbs/ex1
|
||||
miniapps/nurbs/ex1p
|
||||
@@ -179,7 +165,3 @@ miniapps/nurbs/mesh.*
|
||||
miniapps/nurbs/sol.*
|
||||
miniapps/nurbs/mode_*
|
||||
miniapps/nurbs/Example1*
|
||||
|
||||
# Unit test binary and outputs
|
||||
tests/unit/output_meshes
|
||||
tests/unit/unit_tests
|
||||
|
||||
@@ -205,7 +205,6 @@ install:
|
||||
else
|
||||
echo "Reusing cached hypre-2.10.0b/";
|
||||
fi;
|
||||
ln -s hypre-2.10.0b hypre;
|
||||
else
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||||
echo "Serial build, not using hypre";
|
||||
fi
|
||||
|
||||
@@ -8,179 +8,17 @@
|
||||
http://mfem.org
|
||||
|
||||
|
||||
Version 4.0-RC2, Apr 24, 2019
|
||||
=============================
|
||||
|
||||
Requirements and Limitations
|
||||
----------------------------
|
||||
- This is a release candidate for mfem-4.0.
|
||||
- Use at your own risk -- not everything will work and the API may change.
|
||||
- We are looking for feedback from friendly users.
|
||||
- Unlike previous MFEM releases, this version requires a C++11 compiler.
|
||||
|
||||
- GPU-related limitations:
|
||||
* Hypre preconditioners are not yet available in GPU mode.
|
||||
* Only constant coefficients are currently supported on GPUs.
|
||||
* Full-assembly (on device), element assembly, and matrix-free bilinear forms
|
||||
are not supported yet. Element batching is currently ignored.
|
||||
* Partial assembly kernels are not implemented yet for simplices.
|
||||
|
||||
GPU support
|
||||
-----------
|
||||
- Added initial support for hardware devices, such as GPUs, and programming
|
||||
models, such as CUDA, OCCA, RAJA and OpenMP.
|
||||
|
||||
- The GPU/device support is based on MFEM's new backends and kernels working
|
||||
seamlessly with a new lightweight device/host memory manager. The kernels can
|
||||
be implemented either in OCCA, or as a simple wrapper around for-loops, which
|
||||
can then be dispatched to RAJA and native backends. See the files forall.hpp
|
||||
and mem_manager.hpp in the general/ directory.
|
||||
|
||||
- Several of the MFEM example codes (ex1, ex1p, ex6, and ex6p) can now take
|
||||
advantage of GPU acceleration with the backend selectable at runtime. Many of
|
||||
the linear algebra and finite element operations (e.g. partially assembled
|
||||
bilinear forms) have been extended to take advantage of kernel acceleration by
|
||||
simply replacing loops with the MFEM_FORALL() macro.
|
||||
|
||||
- In addition to pure CUDA, the library currently supports OCCA, RAJA and OpenMP
|
||||
kernels, which could be mixed and matched in different parts of the same
|
||||
application. We plan on adding support for more programming models and devices
|
||||
in the future, without the need for significant modifications in user code.
|
||||
The list of current backends is: "occa-cuda", "raja-cuda", "cuda", "occa-omp",
|
||||
"raja-omp", "omp", "occa-cpu", "raja-cpu", and "cpu".
|
||||
|
||||
Discretization improvements
|
||||
---------------------------
|
||||
- Added support for a general "low-order refined"-to-"high-order" transfer of
|
||||
GridFunction data from a "low-order refined" (LOR) space defined on a refined
|
||||
mesh to a "high-order" (HO) finite element space defined on a coarse mesh. See
|
||||
the new classes InterpolationGridTransfer and L2ProjectionGridTransfer and the
|
||||
new LOR Transfer miniapp: miniapps/tools/lor-transfer.cpp.
|
||||
|
||||
- Added support for derefinement of vector (RT + ND) spaces.
|
||||
|
||||
- Added element flux, and flux energy computation in class ElasticityIntegrator,
|
||||
allowing for the use of Zienkiewicz-Zhu type error estimators with the
|
||||
integrator. For an illustration of this addition, see the new Example 22.
|
||||
|
||||
- Added a variety of coefficients which are sums or products of existing
|
||||
coefficients as well as grid function coefficients which return the
|
||||
divergence, gradient, or curl of their GridFunctions.
|
||||
|
||||
Support for wedge elements and meshes with mixed element types
|
||||
--------------------------------------------------------------
|
||||
- Added support for wedge-shaped mesh elements of arbitrary order (with Geometry
|
||||
type PRISM) which have two triangular faces and three quadrilateral faces.
|
||||
Several examples of such meshes can be found in the data/ directory.
|
||||
|
||||
- Added H1 and L2 finite elements of arbitrary order for Wedge elements.
|
||||
|
||||
- Added support for mixed meshes containing triangles and quadrilaterals in 2D
|
||||
or tetrahedra, wedges, and hexahedra in 3D. This includes support for uniform
|
||||
refinement of such meshes. Several examples of such meshes can be found in the
|
||||
data/ directory.
|
||||
|
||||
- Added support for reading and writing linear and quadratic meshes containing
|
||||
wedge elements in VTK mesh format. Several examples of such meshes can be
|
||||
found in the data/ directory.
|
||||
|
||||
Other meshing improvements
|
||||
--------------------------
|
||||
- Improved the uniform refinement of tetrahedral meshes (also part of the
|
||||
uniform refinement of mixed 3D meshes). The previous refinement algorithm is
|
||||
still available as an option in Mesh::UniformRefinement. Both can be used in
|
||||
the updated Mesh Explorer miniapp.
|
||||
|
||||
- The local tetrahedral mesh refinement algorithm in serial and in parallel now
|
||||
follows precisely the paper:
|
||||
|
||||
D. Arnold, A. Mukherjee, and L. Pouly, "Locally Adapted Tetrahedral Meshes
|
||||
Using Bisection", SIAM J. Sci. Comput. 22 (2000), 431–448.
|
||||
|
||||
This guarantees that the shape regularity of the elements will be preserved
|
||||
under refinement.
|
||||
|
||||
- Added support for parallel communication groups on non-conforming meshes.
|
||||
|
||||
- Improved parallel partitioning of non-conforming meshes. If the coarse mesh
|
||||
elements are ordered as a sequence of face-neighbors, the parallel partitions
|
||||
are now guaranteed to be continuous. To that end, inline quadrilateral and
|
||||
hexahedral meshes are now by default ordered along a space-filling curve.
|
||||
|
||||
- A boundary in a NURBS mesh can now be connected with another boundary. Such a
|
||||
periodic NURBS mesh is a simple way to impose periodic boundary conditions.
|
||||
|
||||
Version 3.4.1 (development)
|
||||
===========================
|
||||
- Added support for reading linear and quadratic 2D quadrilateral and triangular
|
||||
Cubit meshes.
|
||||
|
||||
- The TMOP mesh optimization algorithms were extended to support user-defined
|
||||
space-dependent limiting terms. Improved the TMOP objective functions by more
|
||||
accurate normalization of the different terms.
|
||||
|
||||
New and updated examples and miniapps
|
||||
-------------------------------------
|
||||
- Added a new meshing miniapp, Toroid, which can produce a variety of torus
|
||||
shaped meshes by twisting a stack of wedges or hexahedra.
|
||||
|
||||
- Added a new meshing miniapp, Extruder, that demonstrates the capability to
|
||||
produce 3D meshes by extruding 2D meshes.
|
||||
|
||||
- Added a simple miniapp, LOR Transfer, for visualizing the actions of the
|
||||
transfer operators between a high-order and a low-order refined spaces.
|
||||
|
||||
- Added a new example, Example 20/20p, that solves a system of 1D ODEs derived
|
||||
from a Hamiltonian. The example demonstrates the use of the variable order,
|
||||
symplectic integration algorithm implemented in class SIAVSolver.
|
||||
|
||||
- Added a new example, Example 22/22p, that illustrates the use of AMR to solve
|
||||
a linear elasticity problem. This is an extension of Example 2/2p.
|
||||
|
||||
New and improved solvers and preconditioners
|
||||
--------------------------------------------
|
||||
- Added support for parallel ILU preconditioning via hypre's Euclid solver.
|
||||
|
||||
- Added support for STRUMPACK v3 with a small API change in the class
|
||||
STRUMPACKSolver, see "API changes" below.
|
||||
|
||||
Miscellaneous
|
||||
-------------
|
||||
- In SparseMatrix added the option to perform MultTranspose() by matvec with
|
||||
computed and stored transpose matrix. This is required for deterministic
|
||||
results when using devices such as CUDA and OpenMP.
|
||||
|
||||
- Added unit tests based on the Catch++ library.
|
||||
|
||||
- Renamed the option MFEM_USE_OPENMP to MFEM_USE_LEGACY_OPENMP. This legacy
|
||||
option is deprecated and planned for removal in a future release. The original
|
||||
option name, MFEM_USE_OPENMP, is now used to enable the new OpenMP backends in
|
||||
the new kernels.
|
||||
|
||||
- Altered the way FGMRES counts its iterations so that it matches GMRES.
|
||||
|
||||
- Various other simplifications, extensions, and bugfixes in the code.
|
||||
|
||||
API changes
|
||||
-----------
|
||||
- In multiple places, use Geometry::Type instead of int, where appropriate.
|
||||
- In multiple places, use Element::Type instead of int, where appropriate.
|
||||
- The Mesh methods GetElementBaseGeometry and GetBdrElementBaseGeometry no
|
||||
longer have a default value for their parameter, they only work with an
|
||||
explicitly given index.
|
||||
- In class Mesh, added methods useful for queries regarding the types of
|
||||
elements present in the mesh: HasGeometry, GetNumGeometries, GetGeometries,
|
||||
and class Mesh::GeometryList.
|
||||
- The struct CoarseFineTransformations (returned by the Mesh method
|
||||
GetRefinementTransforms) now stores the embedding matrices separately for each
|
||||
Geometry::Type.
|
||||
- In class ParMesh, replaced the method GroupNFaces with two new methods:
|
||||
GroupNTriangles and GroupNQuadrilaterals. Also, replaced GroupFace with two
|
||||
methods: GroupTriangle and GroupQuadrilateral.
|
||||
- In class ParMesh, made the two RefineGroups methods protected.
|
||||
- Removed the virtual method Element::GetRefinementFlag, it is only used by the
|
||||
derived class Tetrahedron.
|
||||
- Added new methods: Array::CopyTo, Tetrahedron::Init.
|
||||
- In class STRUMPACKSolver, the method SetMC64Job() was replaced by the new
|
||||
methods: DisableMatching(), EnableMatching(), and EnableParallelMatching().
|
||||
- The tetrahedral mesh refinement algorithm in serial and in parallel now
|
||||
follows precisely the paper:
|
||||
D. Arnold, A. Mukherjee, and L. Pouly, "Locally Adapted Tetrahedral Meshes
|
||||
Using Bisection", SIAM J. Sci. Comput., 22(2), 431–448.
|
||||
This guarantees that the shape regularity of the elements will be preserved
|
||||
under refinement.
|
||||
|
||||
|
||||
Version 3.4, released on May 29, 2018
|
||||
|
||||
+12
-77
@@ -13,11 +13,6 @@ cmake_minimum_required(VERSION 2.8.11)
|
||||
set(USER_CONFIG "${CMAKE_CURRENT_SOURCE_DIR}/config/user.cmake" CACHE PATH
|
||||
"Path to optional user configuration file.")
|
||||
|
||||
# Require C++11 and disable compiler-specific extensions
|
||||
set(CMAKE_CXX_STANDARD 11)
|
||||
set(CMAKE_CXX_STANDARD_REQUIRED ON)
|
||||
set(CMAKE_CXX_EXTENSIONS OFF)
|
||||
|
||||
# Load user settings before the defaults - this way the defaults will not
|
||||
# overwrite the user set options. If the user has not set all options, we still
|
||||
# have the defaults.
|
||||
@@ -86,13 +81,6 @@ include("${CMAKE_CURRENT_SOURCE_DIR}/config/XSDKDefaults.cmake")
|
||||
|
||||
# Enable languages.
|
||||
enable_language(CXX)
|
||||
if (MFEM_USE_CUDA)
|
||||
# MFEM_USE_CUDA requires CMake 3.8 or newer (for direct CUDA support)
|
||||
cmake_minimum_required(VERSION 3.8 FATAL_ERROR)
|
||||
enable_language(CUDA)
|
||||
message(STATUS "Using CUDA architecture: ${CUDA_ARCH}")
|
||||
endif()
|
||||
|
||||
if (XSDK_ENABLE_C)
|
||||
enable_language(C)
|
||||
endif()
|
||||
@@ -182,11 +170,12 @@ if (MFEM_USE_LAPACK)
|
||||
endif()
|
||||
|
||||
# OpenMP
|
||||
if (MFEM_USE_OPENMP OR MFEM_USE_LEGACY_OPENMP)
|
||||
if (NOT MFEM_THREAD_SAFE AND MFEM_USE_LEGACY_OPENMP)
|
||||
message(FATAL_ERROR " *** MFEM_USE_LEGACY_OPENMP requires MFEM_THREAD_SAFE=ON.")
|
||||
if (MFEM_USE_OPENMP)
|
||||
if (MFEM_THREAD_SAFE)
|
||||
find_package(OpenMP REQUIRED)
|
||||
else()
|
||||
message(FATAL_ERROR " *** MFEM_USE_OPENMP requires MFEM_THREAD_SAFE=ON.")
|
||||
endif()
|
||||
find_package(OpenMP REQUIRED)
|
||||
endif()
|
||||
|
||||
# SuiteSparse (before SUNDIALS which may depend on KLU)
|
||||
@@ -273,32 +262,6 @@ if (MFEM_USE_PUMI)
|
||||
endif()
|
||||
endif()
|
||||
|
||||
# CUDA
|
||||
if (MFEM_USE_CUDA)
|
||||
set(CMAKE_CUDA_STANDARD 11)
|
||||
set(CMAKE_CUDA_STANDARD_REQUIRED ON)
|
||||
set(CMAKE_CUDA_EXTENSIONS OFF)
|
||||
set(CMAKE_CUDA_FLAGS "-arch=${CUDA_ARCH} --expt-extended-lambda"
|
||||
CACHE STRING "CUDA flags set for MFEM" FORCE)
|
||||
if (MFEM_USE_MPI)
|
||||
set(CUDA_CCBIN_COMPILER ${MPI_CXX_COMPILER})
|
||||
else()
|
||||
set(CUDA_CCBIN_COMPILER ${CMAKE_CXX_COMPILER})
|
||||
endif()
|
||||
string(APPEND CMAKE_CUDA_FLAGS " -ccbin ${CUDA_CCBIN_COMPILER}")
|
||||
set(MFEM_USE_MM YES CACHE BOOL "Enable MFEM's memory manager" FORCE)
|
||||
endif()
|
||||
|
||||
# OCCA
|
||||
if (MFEM_USE_OCCA)
|
||||
find_package(OCCA REQUIRED)
|
||||
endif()
|
||||
|
||||
# RAJA
|
||||
if (MFEM_USE_RAJA)
|
||||
find_package(RAJA REQUIRED)
|
||||
endif()
|
||||
|
||||
# MFEM_TIMER_TYPE
|
||||
if (NOT DEFINED MFEM_TIMER_TYPE)
|
||||
if (APPLE)
|
||||
@@ -324,7 +287,7 @@ endif()
|
||||
# be before SuiteSparse.
|
||||
set(MFEM_TPLS MPI_CXX OPENMP BLAS LAPACK METIS HYPRE SuiteSparse SUNDIALS PETSC
|
||||
MESQUITE SuperLUDist STRUMPACK AXOM CONDUIT GECKO GNUTLS NETCDF MPFR PUMI
|
||||
POSIXCLOCKS MFEMBacktrace ZLIB OCCA RAJA)
|
||||
POSIXCLOCKS MFEMBacktrace ZLIB)
|
||||
# Add all *_FOUND libraries in the variable TPL_LIBRARIES.
|
||||
set(TPL_LIBRARIES "")
|
||||
set(TPL_INCLUDE_DIRS "")
|
||||
@@ -349,6 +312,9 @@ message(STATUS "MFEM build type: CMAKE_BUILD_TYPE = ${CMAKE_BUILD_TYPE}")
|
||||
message(STATUS "MFEM version: v${MFEM_VERSION_STRING}")
|
||||
message(STATUS "MFEM git string: ${MFEM_GIT_STRING}")
|
||||
|
||||
# Windows specific
|
||||
set(_USE_MATH_DEFINES ${WIN32})
|
||||
|
||||
#-------------------------------------------------------------------------------
|
||||
# Define and configure the MFEM library
|
||||
#-------------------------------------------------------------------------------
|
||||
@@ -360,13 +326,6 @@ set(MFEM_SOURCE_DIRS general linalg mesh fem)
|
||||
foreach(DIR IN LISTS MFEM_SOURCE_DIRS)
|
||||
add_subdirectory(${DIR})
|
||||
endforeach()
|
||||
|
||||
if (MFEM_USE_CUDA)
|
||||
foreach(file IN LISTS SOURCES)
|
||||
set_property(SOURCE ${file} PROPERTY LANGUAGE CUDA)
|
||||
endforeach()
|
||||
endif()
|
||||
|
||||
add_subdirectory(config)
|
||||
set(MASTER_HEADERS
|
||||
${PROJECT_SOURCE_DIR}/mfem.hpp
|
||||
@@ -377,11 +336,6 @@ set(CMAKE_INSTALL_RPATH_USE_LINK_PATH ON CACHE BOOL "")
|
||||
set(CMAKE_INSTALL_RPATH "${_lib_path}" CACHE PATH "")
|
||||
set(CMAKE_INSTALL_NAME_DIR "${_lib_path}" CACHE PATH "")
|
||||
|
||||
set(MFEM_SOURCE_DIR ${CMAKE_CURRENT_SOURCE_DIR} CACHE PATH
|
||||
"The MFEM source directory" FORCE)
|
||||
set(MFEM_INSTALL_DIR ${CMAKE_INSTALL_PREFIX} CACHE PATH
|
||||
"The MFEM install directory" FORCE)
|
||||
|
||||
# Declaring the library
|
||||
add_library(mfem ${SOURCES} ${HEADERS} ${MASTER_HEADERS})
|
||||
# message(STATUS "TPL_LIBRARIES = ${TPL_LIBRARIES}")
|
||||
@@ -434,9 +388,6 @@ endif()
|
||||
# Enable testing if required
|
||||
if (MFEM_ENABLE_TESTING)
|
||||
enable_testing()
|
||||
set(MFEM_ALL_TESTS_TARGET_NAME tests)
|
||||
add_mfem_target(${MFEM_ALL_TESTS_TARGET_NAME} OFF)
|
||||
add_subdirectory(tests EXCLUDE_FROM_ALL)
|
||||
endif()
|
||||
|
||||
# Define a target that all examples and miniapps will depend on.
|
||||
@@ -456,9 +407,7 @@ add_subdirectory(miniapps EXCLUDE_FROM_ALL)
|
||||
# Target to build all executables, i.e. everything.
|
||||
add_custom_target(exec)
|
||||
add_dependencies(exec
|
||||
${MFEM_ALL_EXAMPLES_TARGET_NAME}
|
||||
${MFEM_ALL_MINIAPPS_TARGET_NAME}
|
||||
${MFEM_ALL_TESTS_TARGET_NAME})
|
||||
${MFEM_ALL_EXAMPLES_TARGET_NAME} ${MFEM_ALL_MINIAPPS_TARGET_NAME})
|
||||
# Here, we want to "add_dependencies(test exec)". However, dependencies for
|
||||
# 'test' (and other built-in targets) can not be added with add_dependencies():
|
||||
# - https://gitlab.kitware.com/cmake/cmake/issues/8438
|
||||
@@ -479,12 +428,12 @@ endif()
|
||||
# Add 'check' target - quick test
|
||||
if (NOT MFEM_USE_MPI)
|
||||
add_custom_target(check
|
||||
${CMAKE_CTEST_COMMAND} -R \"^ex1_ser\" -C ${CMAKE_CFG_INTDIR}
|
||||
${CMAKE_CTEST_COMMAND} -R '^ex1_ser' -C ${CMAKE_CFG_INTDIR}
|
||||
USES_TERMINAL)
|
||||
add_dependencies(check ex1)
|
||||
else()
|
||||
add_custom_target(check
|
||||
${CMAKE_CTEST_COMMAND} -R \"^ex1p\" -C ${CMAKE_CFG_INTDIR}
|
||||
${CMAKE_CTEST_COMMAND} -R '^ex1p' -C ${CMAKE_CFG_INTDIR}
|
||||
USES_TERMINAL)
|
||||
add_dependencies(check ex1p)
|
||||
endif()
|
||||
@@ -529,13 +478,6 @@ install(DIRECTORY ${MFEM_SOURCE_DIRS}
|
||||
DESTINATION ${INSTALL_INCLUDE_DIR}/mfem
|
||||
FILES_MATCHING PATTERN "*.hpp")
|
||||
|
||||
# Install the okl files
|
||||
if (MFEM_USE_OCCA)
|
||||
install(DIRECTORY ${MFEM_SOURCE_DIRS}
|
||||
DESTINATION ${INSTALL_INCLUDE_DIR}/mfem
|
||||
FILES_MATCHING PATTERN "*.okl")
|
||||
endif()
|
||||
|
||||
# Install ${HEADERS}
|
||||
# ---
|
||||
# foreach (HDR ${HEADERS})
|
||||
@@ -601,10 +543,3 @@ install(FILES
|
||||
# Install the export set for use with the install-tree
|
||||
install(EXPORT ${PROJECT_NAME_UC}Targets
|
||||
DESTINATION ${INSTALL_CMAKE_DIR})
|
||||
|
||||
#-------------------------------------------------------------------------------
|
||||
# Create 'config.mk' from 'config.mk.in' for the build and install locations and
|
||||
# define install rules for 'config.mk' and 'test.mk'
|
||||
#-------------------------------------------------------------------------------
|
||||
|
||||
mfem_export_mk_files()
|
||||
|
||||
+11
-28
@@ -90,18 +90,13 @@ Origin](#developers-certificate-of-origin-11) at the end of this file.*
|
||||
├── general
|
||||
├── linalg
|
||||
├── mesh
|
||||
├── miniapps
|
||||
│ ├── common
|
||||
│ ├── electromagnetics
|
||||
│ ├── meshing
|
||||
│ ├── nurbs
|
||||
│ ├── performance
|
||||
│ └── tools
|
||||
└── tests
|
||||
├── unit
|
||||
│ ├── ...
|
||||
└── ...
|
||||
|
||||
└── miniapps
|
||||
├── common
|
||||
├── electromagnetics
|
||||
├── meshing
|
||||
├── nurbs
|
||||
├── performance
|
||||
└── tools
|
||||
```
|
||||
|
||||
- The main directories are `fem/`, `mesh/` and `linalg/` containing the C++
|
||||
@@ -142,16 +137,6 @@ Origin](#developers-certificate-of-origin-11) at the end of this file.*
|
||||
+ [`HypreParMatrix`](http://mfem.github.io/doxygen/html/classmfem_1_1HypreParMatrix.html) and [`HypreParVector`](http://mfem.github.io/doxygen/html/classmfem_1_1HypreParVector.html)
|
||||
+ [`HypreSolver`](http://mfem.github.io/doxygen/html/classmfem_1_1HypreSolver.html) and other [hypre classes](http://mfem.github.io/doxygen/html/hypre_8hpp.html)
|
||||
|
||||
- GPU and multi-core CPU support is based on device kernels supporting different
|
||||
backends (CUDA, OCCA, RAJA, OpenMP, etc.) and an internal lightweight
|
||||
device/host memory manager.
|
||||
|
||||
- The main device-relevant classes and sources are:
|
||||
+ [`Device`](http://mfem.github.io/doxygen/html/device_8hpp.html)
|
||||
+ [`MemoryManager`](http://mfem.github.io/doxygen/html/mem_manager_8hpp.html)
|
||||
+ the [`MFEM_FORALL`](http://mfem.github.io/doxygen/html/forall_8hpp.html) macro
|
||||
+ the [`cuda.hpp`](http://mfem.github.io/doxygen/html/cuda_8hpp.html) and [`occa.hpp`](http://mfem.github.io/doxygen/html/occa_8hpp.html) files
|
||||
|
||||
- The `general/` directory contains C++ classes that serve as utilities for
|
||||
communication, error handling, arrays, (Boolean) tables, timing, etc.
|
||||
|
||||
@@ -166,9 +151,6 @@ Origin](#developers-certificate-of-origin-11) at the end of this file.*
|
||||
in the simple example codes and more fully-featured mini applications in the
|
||||
`examples/` and `miniapps/` directories.
|
||||
|
||||
- The `tests/` directory contains a unit test suite and will later contain more
|
||||
tests that run example codes.
|
||||
|
||||
- See also the [code overview](http://mfem.org/code-overview/) section on the
|
||||
MFEM website.
|
||||
|
||||
@@ -334,9 +316,9 @@ Before a PR can be merged, it should satisfy the following:
|
||||
- [ ] Is this a new feature users need to be aware of? New or updated example or miniapp?
|
||||
- [ ] Does it make sense to create a new section in the `CHANGELOG` to group with other related features?
|
||||
- [ ] Update `INSTALL`:
|
||||
- [ ] Had a new optional library been added? (*Make sure the external library is licensed under LGPL, not GPL!*)
|
||||
- [ ] Has a new optional library been added? (*Make sure the external library is licensed under LGPL, not GPL!*)
|
||||
- [ ] Does `make` or `cmake` have a new target?
|
||||
- [ ] Did the requirements or the installation process change? *(rare)*
|
||||
- [ ] Did the requirements or the installation process change? *(rare)*.
|
||||
- [ ] Update `.gitignore`:
|
||||
- [ ] Check if `make distclean; git status` shows any files that are generated from the source but we don't want to track in the repository.
|
||||
- [ ] Add new patterns (just for the new files above) and re-run the above test.
|
||||
@@ -376,10 +358,10 @@ Before a PR can be merged, it should satisfy the following:
|
||||
- [ ] If this is a major new feature, consider mentioning in the short summary inside `README` *(rare)*.
|
||||
- [ ] List major new classes in `doc/CodeDocumentation.dox` *(rare)*.
|
||||
- [ ] Update this checklist, if the new pull request affects it.
|
||||
- [ ] Run the unit tests and make sure they all pass `make unittest`.
|
||||
- [ ] (LLNL only) Clone the `tests` repository and run the following tests, see `mfem/tests/README.md`:
|
||||
- [ ] `compilers`
|
||||
- [ ] `memcheck`
|
||||
- [ ] `unit-test`
|
||||
- [ ] `documentation`
|
||||
- [ ] (LLNL only) After merging:
|
||||
- [ ] Regenerate `README.html` files from companion documentation pull requests.
|
||||
@@ -490,6 +472,7 @@ MFEM uses a `master`/`next`-branch workflow as described below:
|
||||
- `mfem:gh-next` -- Bleeding-edge development version, may be broken, use at
|
||||
your own risk.
|
||||
|
||||
|
||||
## Automated Testing
|
||||
|
||||
MFEM has several levels of automated testing running on GitHub, as well as on
|
||||
|
||||
@@ -13,38 +13,14 @@ of MFEM is a (modern) C++ compiler, such as g++. The parallel version of MFEM
|
||||
requires an MPI C++ compiler, as well as the following external libraries:
|
||||
|
||||
- hypre (a library of high-performance preconditioners)
|
||||
https://github.com/hypre-space/hypre
|
||||
http://www.llnl.gov/CASC/hypre
|
||||
|
||||
- METIS (a family of multilevel partitioning algorithms)
|
||||
http://glaros.dtc.umn.edu/gkhome/metis/metis/overview
|
||||
|
||||
The hypre dependency can be downloaded as a tarball from GitHub or from the
|
||||
project webpage https://www.llnl.gov/casc/hypre. For example, the 2.16.0 release
|
||||
of hypre is available at
|
||||
|
||||
https://github.com/hypre-space/hypre/archive/v2.16.0.tar.gz
|
||||
|
||||
The METIS dependency can be disabled but that is not generally recommended, see
|
||||
the option MFEM_USE_METIS.
|
||||
|
||||
MFEM also includes support for devices such as GPUs, and programming models such
|
||||
as CUDA, OCCA, OpenMP and RAJA.
|
||||
|
||||
- Starting with version 4.0, MFEM requires a C++11 compiler
|
||||
|
||||
- CUDA support requires an NVIDIA GPU and an installation of the CUDA Toolkit
|
||||
https://developer.nvidia.com/cuda-toolkit
|
||||
|
||||
- OCCA support requires the OCCA library
|
||||
https://libocca.org
|
||||
|
||||
- OpenMP support requires a compiler implementing the OpenMP API
|
||||
https://www.openmp.org
|
||||
|
||||
- RAJA support requires installation of the RAJA performance portability layer
|
||||
with (optionally) support for CUDA and OpenMP
|
||||
https://github.com/LLNL/RAJA
|
||||
|
||||
The library supports two build systems: one based on GNU make, and a second one
|
||||
based on CMake. Both build systems are described below. Some hints for building
|
||||
without GNU make or CMake can be found at the end of this file.
|
||||
@@ -54,7 +30,7 @@ following package managers:
|
||||
|
||||
- Spack, https://github.com/spack/spack
|
||||
- OpenHPC, http://openhpc.community
|
||||
- Homebrew/Science, https://github.com/Homebrew/homebrew-science (deprecated)
|
||||
- Homebrew/Science, https://github.com/Homebrew/homebrew-science
|
||||
|
||||
We also recommend downloading and building the MFEM-based GLVis visualization
|
||||
tool which can be used to visualize the meshes and solution in MFEM's examples
|
||||
@@ -66,15 +42,11 @@ Serial build:
|
||||
make serial -j 4
|
||||
|
||||
Parallel build:
|
||||
(download hypre and METIS 4 from above URLs)
|
||||
(download hypre 2.10.0b and METIS 4 from above URLs)
|
||||
(build METIS 4 in ../metis-4.0 relative to mfem/)
|
||||
(build hypre in ../hypre relative to mfem/)
|
||||
(build hypre 2.10.0b in ../hypre-2.10.0b relative to mfem/)
|
||||
make parallel -j 4
|
||||
|
||||
CUDA build:
|
||||
make cuda -j 4
|
||||
(build for a specific compute capability: 'make cuda -j 4 CUDA_ARCH=sm_30')
|
||||
|
||||
Example codes (serial/parallel, depending on the build):
|
||||
cd examples
|
||||
make -j 4
|
||||
@@ -85,6 +57,7 @@ Build everything (library, examples and miniapps) with current configuration:
|
||||
Quick-check the build by running Example 1/1p (optional):
|
||||
make check
|
||||
|
||||
|
||||
Quick start with CMake
|
||||
======================
|
||||
Serial build:
|
||||
@@ -93,19 +66,13 @@ Serial build:
|
||||
make -j 4 (assuming "UNIX Makefiles" generator)
|
||||
|
||||
Parallel build:
|
||||
(download hypre and METIS 4 from above URLs)
|
||||
(download hypre 2.10.0b and METIS 4 from above URLs)
|
||||
(build METIS 4 in ../metis-4.0 relative to mfem/)
|
||||
(build hypre in ../hypre relative to mfem/)
|
||||
(build hypre 2.10.0b in ../hypre-2.10.0b relative to mfem/)
|
||||
mkdir <mfem-build-dir> ; cd <mfem-build-dir>
|
||||
cmake <mfem-source-dir> -DMFEM_USE_MPI=YES
|
||||
make -j 4
|
||||
|
||||
CUDA build:
|
||||
(this build requires CMake 3.8 or newer)
|
||||
mkdir <mfem-build-dir> ; cd <mfem-build-dir>
|
||||
cmake <mfem-source-dir> -DMFEM_USE_CUDA=YES
|
||||
make -j 4
|
||||
|
||||
Example codes (serial/parallel, depending on the build):
|
||||
make examples -j 4
|
||||
|
||||
@@ -165,10 +132,6 @@ are also defined:
|
||||
make parallel -> Builds parallel optimized version of the library
|
||||
make debug -> Builds serial debug version of the library
|
||||
make pdebug -> Builds parallel debug version of the library
|
||||
make cuda -> Builds serial cuda optimized version of the library
|
||||
make pcuda -> Builds parallel cuda optimized version of the library
|
||||
make cudebug -> Builds serial cuda debug version of the library
|
||||
make pcudebug -> Builds parallel cuda debug version of the library
|
||||
|
||||
Note that any of the above shortcuts accept configuration options, either at the
|
||||
command line or through a user configuration file.
|
||||
@@ -230,9 +193,8 @@ Configuration options (GNU make)
|
||||
See the configuration file config/defaults.mk for the default settings.
|
||||
|
||||
Compilers:
|
||||
CXX - C++ compiler, serial build
|
||||
MPICXX - MPI C++ compiler, parallel build
|
||||
CUDA_CXX - The CUDA compiler, 'nvcc'
|
||||
CXX - C++ compiler, serial build
|
||||
MPICXX - MPI C++ compiler, parallel build
|
||||
|
||||
Compiler options:
|
||||
OPTIM_FLAGS - Options for optimized build
|
||||
@@ -268,7 +230,7 @@ MFEM_DEBUG = YES/NO
|
||||
and consistency checks that may simplify bug-hunting.
|
||||
|
||||
MFEM_USE_EXCEPTIONS = YES/NO
|
||||
Enable the use of exceptions. In particular, modifies the default behavior
|
||||
Enable the use of exceptions. In particular, modifies the default bahavior
|
||||
when errors are encountered: throw an exception, instead of aborting.
|
||||
|
||||
MFEM_USE_LIBUNWIND = YES/NO
|
||||
@@ -288,12 +250,8 @@ MFEM_THREAD_SAFE = YES/NO
|
||||
Use thread-safe implementation for some classes/methods. This comes at the
|
||||
cost of extra memory allocation and de-allocation.
|
||||
|
||||
MFEM_USE_LEGACY_OPENMP = YES/NO
|
||||
Enable (basic) experimental OpenMP support. Requires MFEM_THREAD_SAFE.
|
||||
This option is deprecated.
|
||||
|
||||
MFEM_USE_OPENMP = YES/NO
|
||||
Enable the OpenMP backend.
|
||||
Enable (basic) experimental OpenMP support. Requires MFEM_THREAD_SAFE.
|
||||
|
||||
MFEM_USE_MEMALLOC = YES/NO
|
||||
Internal MFEM option: enable batch allocation for some small objects.
|
||||
@@ -404,32 +362,6 @@ MFEM_USE_PUMI = YES/NO
|
||||
models and effectively supports automated adaptive analysis. PUMI enables
|
||||
support for parallel unstructured mesh modifications in MFEM.
|
||||
|
||||
MFEM_USE_MM = YES/NO
|
||||
Enables support for the MFEM's memory manager (MM), which is required to
|
||||
support devices with different memory spaces. This option is required when
|
||||
CUDA support is enabled, i.e. when MFEM_USE_CUDA=YES.
|
||||
|
||||
MFEM_USE_CUDA = YES/NO
|
||||
Enables support for CUDA devices in MFEM. CUDA is a parallel computing
|
||||
platform and programming model for general computing on graphical processing
|
||||
units (GPUs). This option requires MFEM_USE_MM. The variable CUDA_ARCH is
|
||||
used to specify the CUDA compute capability used during compilation (by
|
||||
default, CUDA_ARCH=sm_60). When enabled, this option uses the CUDA_* build
|
||||
options, see below.
|
||||
|
||||
MFEM_USE_RAJA = YES/NO
|
||||
Enable support for the RAJA performance portability layer in MFEM. RAJA
|
||||
provides a portable abstraction for loops, supporting different programming
|
||||
model backends. When using RAJA built with CUDA support, CUDA support must be
|
||||
also enabled in MFEM, i.e. MFEM_USE_CUDA=YES must be set.
|
||||
|
||||
MFEM_USE_OCCA = YES/NO
|
||||
Enables support for the OCCA library in MFEM. OCCA is an open-source library
|
||||
which aims to make it easy to program different types of devices (e.g. CPU,
|
||||
GPU, FPGA) by providing an unified API for interacting with JIT-compiled
|
||||
backends. In order to use the OCCA CUDA backend, CUDA support must be enabled
|
||||
in MFEM as well, i.e. MFEM_USE_CUDA=YES must be set.
|
||||
|
||||
MFEM_BUILD_TAG = (any value)
|
||||
An optional tag to characterize the build. Exported to config/config.mk.
|
||||
Can be used to identify the MFEM build from other makefiles.
|
||||
@@ -451,7 +383,7 @@ directory and use the string @MFEM_DIR@, e.g. HYPRE_OPT = -I@MFEM_DIR@/../hypre.
|
||||
The specific libraries and their options are:
|
||||
|
||||
- HYPRE, required for the parallel build, i.e. when MFEM_USE_MPI = YES.
|
||||
URL: https://github.com/hypre-space/hypre and https://www.llnl.gov/casc/hypre
|
||||
URL: http://www.llnl.gov/CASC/hypre
|
||||
Options: HYPRE_OPT, HYPRE_LIB.
|
||||
|
||||
- METIS, used when MFEM_USE_METIS = YES. If using METIS 5, set
|
||||
@@ -465,8 +397,7 @@ The specific libraries and their options are:
|
||||
http://math-atlas.sourceforge.net (ATLAS)
|
||||
Options: LAPACK_OPT (currently not used/needed), LAPACK_LIB.
|
||||
|
||||
- OpenMP (optional), usually part of compiler, used when either MFEM_USE_OPENMP
|
||||
or MFEM_USE_LEGACY_OPENMP is set to YES.
|
||||
- OpenMP (optional), usually part of compiler, used when MFEM_USE_OPENMP = YES.
|
||||
Options: OPENMP_OPT, OPENMP_LIB.
|
||||
|
||||
- High-resolution POSIX clocks: when using MFEM_TIMER_TYPE = 2, it may be
|
||||
@@ -498,8 +429,7 @@ The specific libraries and their options are:
|
||||
|
||||
- STRUMPACK (optional), used when MFEM_USE_STRUMPACK = YES. Note that STRUMPACK
|
||||
requires the PT-Scotch and Scalapack libraries as well as ParMETIS, which
|
||||
includes METIS 5 in its distribution. Starting with STRUMPACK v2.2.0, ParMETIS
|
||||
and PT-Scotch are optional dependencies.
|
||||
includes METIS 5 in its distribution.
|
||||
The support for STRUMPACK was added in MFEM v3.3.2 and it requires STRUMPACK
|
||||
2.0.0 or later.
|
||||
URL: http://portal.nersc.gov/project/sparse/strumpack
|
||||
@@ -545,18 +475,6 @@ The specific libraries and their options are:
|
||||
URL: https://scorec.rpi.edu/pumi
|
||||
Options: PUMI_OPT, PUMI_LIB.
|
||||
|
||||
- CUDA, used when MFEM_USE_CUDA = YES.
|
||||
URL: https://developer.nvidia.com/cuda-toolkit
|
||||
Options: CUDA_CXX, CUDA_ARCH, CUDA_OPT, CUDA_LIB.
|
||||
|
||||
- OCCA, used when MFEM_USE_OCCA = YES.
|
||||
URL: https://libocca.org
|
||||
Options: OCCA_DIR, OCCA_OPT, OCCA_LIB.
|
||||
|
||||
- RAJA, used when MFEM_USE_RAJA = YES.
|
||||
URL: https://github.com/LLNL/RAJA
|
||||
Options: RAJA_DIR, RAJA_OPT, RAJA_LIB.
|
||||
|
||||
- MPFR (optional), used when MFEM_USE_MPFR = YES.
|
||||
URL: http://mpfr.org, it depends on the GMP library: https://gmplib.org
|
||||
Options: MPFR_OPT, MPFR_LIB.
|
||||
@@ -661,8 +579,6 @@ Configuration variables (CMake)
|
||||
===============================
|
||||
See the configuration file config/defaults.cmake for the default settings.
|
||||
|
||||
Note: the option MFEM_USE_CUDA requires CMake version 3.8 or newer!
|
||||
|
||||
Non-standard CMake variables for compilers:
|
||||
CXX - If set, overwrite the auto-detected C++ compiler, serial build
|
||||
MPICXX - If set, overwrite the auto-detected MPI C++ compiler, parallel build
|
||||
@@ -680,7 +596,6 @@ MFEM_USE_METIS - Set to ${MFEM_USE_MPI}, can be overwritten.
|
||||
MFEM_USE_LIBUNWIND
|
||||
MFEM_USE_LAPACK
|
||||
MFEM_THREAD_SAFE
|
||||
MFEM_USE_LEGACY_OPENMP
|
||||
MFEM_USE_OPENMP
|
||||
MFEM_USE_MEMALLOC
|
||||
MFEM_TIMER_TYPE - Set automatically, can be overwritten.
|
||||
@@ -693,10 +608,6 @@ MFEM_USE_NETCDF
|
||||
MFEM_USE_MPFR
|
||||
MFEM_USE_GZSTREAM
|
||||
MFEM_USE_PUMI
|
||||
MFEM_USE_CUDA
|
||||
MFEM_USE_OCCA
|
||||
MFEM_USE_RAJA
|
||||
MFEM_USE_MM
|
||||
|
||||
The following options are CMake specific:
|
||||
|
||||
@@ -743,8 +654,6 @@ The CMake build system adds auto-detection for the following packages/libraries:
|
||||
- LIBUNWIND
|
||||
- POSIXCLOCKS
|
||||
- PUMI
|
||||
- OCCA
|
||||
- RAJA
|
||||
|
||||
The following built-in CMake packages are also used:
|
||||
|
||||
|
||||
@@ -1,5 +1,5 @@
|
||||
GNU LESSER GENERAL PUBLIC LICENSE
|
||||
Version 2.1, February 1999
|
||||
GNU LESSER GENERAL PUBLIC LICENSE
|
||||
Version 2.1, February 1999
|
||||
|
||||
Copyright (C) 1991, 1999 Free Software Foundation, Inc.
|
||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
||||
@@ -10,7 +10,7 @@
|
||||
as the successor of the GNU Library Public License, version 2, hence
|
||||
the version number 2.1.]
|
||||
|
||||
Preamble
|
||||
Preamble
|
||||
|
||||
The licenses for most software are designed to take away your
|
||||
freedom to share and change it. By contrast, the GNU General Public
|
||||
@@ -112,7 +112,7 @@ modification follow. Pay close attention to the difference between a
|
||||
former contains code derived from the library, whereas the latter must
|
||||
be combined with the library in order to run.
|
||||
|
||||
GNU LESSER GENERAL PUBLIC LICENSE
|
||||
GNU LESSER GENERAL PUBLIC LICENSE
|
||||
TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
|
||||
|
||||
0. This License Agreement applies to any software library or other
|
||||
@@ -146,7 +146,7 @@ such a program is covered only if its contents constitute a work based
|
||||
on the Library (independent of the use of the Library in a tool for
|
||||
writing it). Whether that is true depends on what the Library does
|
||||
and what the program that uses the Library does.
|
||||
|
||||
|
||||
1. You may copy and distribute verbatim copies of the Library's
|
||||
complete source code as you receive it, in any medium, provided that
|
||||
you conspicuously and appropriately publish on each copy an
|
||||
@@ -432,7 +432,7 @@ decision will be guided by the two goals of preserving the free status
|
||||
of all derivatives of our free software and of promoting the sharing
|
||||
and reuse of software generally.
|
||||
|
||||
NO WARRANTY
|
||||
NO WARRANTY
|
||||
|
||||
15. BECAUSE THE LIBRARY IS LICENSED FREE OF CHARGE, THERE IS NO
|
||||
WARRANTY FOR THE LIBRARY, TO THE EXTENT PERMITTED BY APPLICABLE LAW.
|
||||
@@ -455,7 +455,7 @@ FAILURE OF THE LIBRARY TO OPERATE WITH ANY OTHER SOFTWARE), EVEN IF
|
||||
SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH
|
||||
DAMAGES.
|
||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
How to Apply These Terms to Your New Libraries
|
||||
|
||||
@@ -485,8 +485,7 @@ convey the exclusion of warranty; and each file should have at least the
|
||||
|
||||
You should have received a copy of the GNU Lesser General Public
|
||||
License along with this library; if not, write to the Free Software
|
||||
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301
|
||||
USA
|
||||
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
||||
|
||||
Also add information on how to contact you by electronic and paper mail.
|
||||
|
||||
@@ -495,10 +494,11 @@ school, if any, to sign a "copyright disclaimer" for the library, if
|
||||
necessary. Here is a sample; alter the names:
|
||||
|
||||
Yoyodyne, Inc., hereby disclaims all copyright interest in the
|
||||
library `Frob' (a library for tweaking knobs) written by James Random
|
||||
Hacker.
|
||||
library `Frob' (a library for tweaking knobs) written by James Random Hacker.
|
||||
|
||||
<signature of Ty Coon>, 1 April 1990
|
||||
Ty Coon, President of Vice
|
||||
|
||||
That's all there is to it!
|
||||
|
||||
|
||||
|
||||
@@ -8,9 +8,9 @@
|
||||
http://mfem.org
|
||||
|
||||
MFEM is a modular parallel C++ library for finite element methods. Its goal is
|
||||
to enable high-performance scalable finite element discretization research and
|
||||
application development on a wide variety of platforms, ranging from laptops to
|
||||
supercomputers.
|
||||
to enable the research and development of scalable finite element discretization
|
||||
and solver algorithms through general finite element abstractions, accurate and
|
||||
flexible visualization, and tight integration with the hypre library.
|
||||
|
||||
* For building instructions, see the file INSTALL, or type "make help".
|
||||
|
||||
@@ -39,24 +39,23 @@ conforming and non-conforming (AMR) adaptive refinement. Arbitrary element
|
||||
transformations, allowing for high-order mesh elements with curved boundaries,
|
||||
are also supported.
|
||||
|
||||
When used as a "finite element to linear algebra translator", MFEM can take a
|
||||
problem described in terms of finite element-type objects, and produce the
|
||||
corresponding linear algebra vectors and fully or partially assembled operators,
|
||||
e.g. in the form of global sparse matrices or matrix-free operators. The library
|
||||
includes simple smoothers and Krylov solvers, such as PCG, MINRES and GMRES, as
|
||||
well as support for sequential sparse direct solvers from the SuiteSparse
|
||||
MFEM is commonly used as a "finite element to linear algebra translator", since
|
||||
it can take a problem described in terms of finite element-type objects, and
|
||||
produce the corresponding linear algebra vectors and sparse matrices. In order
|
||||
to facilitate this, MFEM uses compressed sparse row (CSR) sparse matrix storage
|
||||
and includes simple smoothers and Krylov solvers, such as PCG, MINRES and GMRES,
|
||||
as well as support for sequential sparse direct solvers from the SuiteSparse
|
||||
library. Nonlinear solvers (the Newton method), eigensolvers (LOBPCG), and
|
||||
several explicit and implicit Runge-Kutta time integrators are also available.
|
||||
|
||||
MFEM supports MPI-based parallelism throughout the library, and can readily be
|
||||
used as a scalable unstructured finite element problem generator. As of version
|
||||
4.0, MFEM offers initial support for GPU acceleration, and programming models,
|
||||
such as CUDA, OCCA, RAJA and OpenMP. MFEM-based applications require minimal
|
||||
changes to switch from a serial to a high-performing MPI-parallel version of the
|
||||
code, where they can take advantage of the integrated linear solvers from the
|
||||
hypre library. Comprehensive support for other external packages, e.g. PETSc
|
||||
and SUNDIALS is also included, giving access to many additional linear and
|
||||
nonlinear solvers, preconditioners, time integrators, etc.
|
||||
used as a scalable unstructured finite element problem generator. MFEM-based
|
||||
applications require minimal changes to transition from a serial to a
|
||||
high-performing parallel version of the code, where they can take advantage of
|
||||
the integrated scalable linear solvers from the hypre library. Comprehensive
|
||||
support for other external packages, e.g. PETSc and SUNDIALS is also included,
|
||||
giving access to many additional linear and nonlinear solvers, preconditioners,
|
||||
time integrators, etc.
|
||||
|
||||
For examples of using MFEM, see the examples/ and miniapps/ directories, as well
|
||||
as the OpenGL visualization tool GLVis which is available at http://glvis.org.
|
||||
|
||||
@@ -74,7 +74,7 @@
|
||||
|
||||
IF (NOT COMMAND PRINT_VAR)
|
||||
FUNCTION(PRINT_VAR VAR_NAME)
|
||||
MESSAGE(STATUS "${VAR_NAME} = '${${VAR_NAME}}'")
|
||||
MESSAGE("-- " "${VAR_NAME} = '${${VAR_NAME}}'")
|
||||
ENDFUNCTION()
|
||||
ENDIF()
|
||||
|
||||
@@ -166,108 +166,17 @@ IF (USE_XSDK_DEFAULTS)
|
||||
ENDIF()
|
||||
XSDK_HANDLE_LANG_DEFAULTS(Fortran FC "FFLAGS;FCFLAGS")
|
||||
ENDIF()
|
||||
|
||||
|
||||
# Set XSDK defaults for other CMake variables
|
||||
|
||||
|
||||
IF ("${BUILD_SHARED_LIBS}" STREQUAL "")
|
||||
MESSAGE("-- " "XSDK: Setting default BUILD_SHARED_LIBS=TRUE")
|
||||
SET(BUILD_SHARED_LIBS TRUE CACHE BOOL "Set by default in XSDK mode")
|
||||
ENDIF()
|
||||
|
||||
|
||||
IF ("${CMAKE_BUILD_TYPE}" STREQUAL "")
|
||||
MESSAGE("-- " "XSDK: Setting default CMAKE_BUILD_TYPE=DEBUG")
|
||||
SET(CMAKE_BUILD_TYPE DEBUG CACHE STRING "Set by default in XSDK mode")
|
||||
ENDIF()
|
||||
|
||||
ENDIF()
|
||||
|
||||
|
||||
##################################################################################
|
||||
#
|
||||
# MFEM-specific additions: set TPL MFEM_USE_* defaults
|
||||
#
|
||||
##################################################################################
|
||||
|
||||
IF (DEFINED TPL_ENABLE_MPI)
|
||||
SET(MFEM_USE_MPI ${TPL_ENABLE_MPI} CACHE BOOL "Enable MPI parallel build" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_METIS)
|
||||
SET(MFEM_USE_METIS ${TPL_ENABLE_METIS} CACHE BOOL "Enable METIS usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_GZSTREAM)
|
||||
SET(MFEM_USE_GZSTREAM ${TPL_ENABLE_GZSTREAM} CACHE BOOL "Enable gzstream for compressed data streams." FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_LIBUNWIND)
|
||||
SET(MFEM_USE_LIBUNWIND ${TPL_ENABLE_LIBUNWIND} CACHE BOOL "Enable backtrace for errors." FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_LAPACK)
|
||||
SET(MFEM_USE_LAPACK ${TPL_ENABLE_LAPACK} CACHE BOOL "Enable LAPACK usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_SUNDIALS)
|
||||
SET(MFEM_USE_SUNDIALS ${TPL_ENABLE_SUNDIALS} CACHE BOOL "Enable SUNDIALS usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_MESQUITE)
|
||||
SET(MFEM_USE_MESQUITE ${TPL_ENABLE_MESQUITE} CACHE BOOL "Enable MESQUITE usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_SUITESPARSE)
|
||||
SET(MFEM_USE_SUITESPARSE ${TPL_ENABLE_SUITESPARSE} CACHE BOOL "Enable SuiteSparse usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_SUPERLU)
|
||||
SET(MFEM_USE_SUPERLU ${TPL_ENABLE_SUPERLU} CACHE BOOL "Enable SuperLU_DIST usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_STRUMPACK)
|
||||
SET(MFEM_USE_STRUMPACK ${TPL_ENABLE_STRUMPACK} CACHE BOOL "Enable STRUMPACK usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_GECKO)
|
||||
SET(MFEM_USE_GECKO ${TPL_ENABLE_GECKO} CACHE BOOL "Enable GECKO usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_GNUTLS)
|
||||
SET(MFEM_USE_GNUTLS ${TPL_ENABLE_GNUTLS} CACHE BOOL "Enable GNUTLS usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_NETCDF)
|
||||
SET(MFEM_USE_NETCDF ${TPL_ENABLE_NETCDF} CACHE BOOL "Enable NETCDF usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_PETSC)
|
||||
SET(MFEM_USE_PETSC ${TPL_ENABLE_PETSC} CACHE BOOL "Enable PETSc support." FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_MPFR)
|
||||
SET(MFEM_USE_MPFR ${TPL_ENABLE_MPFR} CACHE BOOL "Enable MPFR usage." FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_SIDRE)
|
||||
SET(MFEM_USE_SIDRE ${TPL_ENABLE_SIDRE} CACHE BOOL "Enable Axom/Sidre usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_CONDUIT)
|
||||
SET(MFEM_USE_CONDUIT ${TPL_ENABLE_CONDUIT} CACHE BOOL "Enable Conduit usage" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_PUMI)
|
||||
SET(MFEM_USE_PUMI ${TPL_ENABLE_PUMI} CACHE BOOL "Enable PUMI" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_CUDA)
|
||||
SET(MFEM_USE_CUDA ${TPL_ENABLE_CUDA} CACHE BOOL "Enable CUDA" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_OCCA)
|
||||
SET(MFEM_USE_OCCA ${TPL_ENABLE_OCCA} CACHE BOOL "Enable OCCA" FORCE)
|
||||
ENDIF()
|
||||
|
||||
IF (DEFINED TPL_ENABLE_RAJA)
|
||||
SET(MFEM_USE_RAJA ${TPL_ENABLE_RAJA} CACHE BOOL "Enable RAJA" FORCE)
|
||||
ENDIF()
|
||||
|
||||
@@ -25,7 +25,6 @@ set(MFEM_USE_LIBUNWIND @MFEM_USE_LIBUNWIND@)
|
||||
set(MFEM_USE_LAPACK @MFEM_USE_LAPACK@)
|
||||
set(MFEM_THREAD_SAFE @MFEM_THREAD_SAFE@)
|
||||
set(MFEM_USE_OPENMP @MFEM_USE_OPENMP@)
|
||||
set(MFEM_USE_LEGACY_OPENMP @MFEM_USE_LEGACY_OPENMP@)
|
||||
set(MFEM_USE_MEMALLOC @MFEM_USE_MEMALLOC@)
|
||||
set(MFEM_TIMER_TYPE @MFEM_TIMER_TYPE@)
|
||||
set(MFEM_USE_SUNDIALS @MFEM_USE_SUNDIALS@)
|
||||
@@ -41,10 +40,6 @@ set(MFEM_USE_MPFR @MFEM_USE_MPFR@)
|
||||
set(MFEM_USE_SIDRE @MFEM_USE_SIDRE@)
|
||||
set(MFEM_USE_CONDUIT @MFEM_USE_CONDUIT@)
|
||||
set(MFEM_USE_PUMI @MFEM_USE_PUMI@)
|
||||
set(MFEM_USE_MM @MFEM_USE_MM@)
|
||||
set(MFEM_USE_CUDA @MFEM_USE_CUDA@)
|
||||
set(MFEM_USE_OCCA @MFEM_USE_OCCA@)
|
||||
set(MFEM_USE_RAJA @MFEM_USE_RAJA@)
|
||||
|
||||
set(MFEM_CXX_COMPILER "@CMAKE_CXX_COMPILER@")
|
||||
set(MFEM_CXX_FLAGS "@CMAKE_CXX_FLAGS@")
|
||||
|
||||
@@ -30,12 +30,6 @@
|
||||
#define MFEM_VERSION_MINOR (((MFEM_VERSION)/100)%100)
|
||||
#define MFEM_VERSION_PATCH ((MFEM_VERSION)%100)
|
||||
|
||||
// MFEM source directory.
|
||||
#define MFEM_SOURCE_DIR "@MFEM_SOURCE_DIR@"
|
||||
|
||||
// MFEM install directory.
|
||||
#define MFEM_INSTALL_DIR "@MFEM_INSTALL_DIR@"
|
||||
|
||||
// Description of the git commit used to build MFEM.
|
||||
#cmakedefine MFEM_GIT_STRING "@MFEM_GIT_STRING@"
|
||||
|
||||
@@ -68,12 +62,9 @@
|
||||
// allocation and de-allocation.
|
||||
#cmakedefine MFEM_THREAD_SAFE
|
||||
|
||||
// Enable the OpenMP backend.
|
||||
// Enable experimental OpenMP support. Requires MFEM_THREAD_SAFE.
|
||||
#cmakedefine MFEM_USE_OPENMP
|
||||
|
||||
// [Deprecated] Enable experimental OpenMP support. Requires MFEM_THREAD_SAFE.
|
||||
#cmakedefine MFEM_USE_LEGACY_OPENMP
|
||||
|
||||
// Enable MFEM functionality based on the Mesquite library.
|
||||
#cmakedefine MFEM_USE_MESQUITE
|
||||
|
||||
@@ -110,19 +101,6 @@
|
||||
// Enable MFEM functionality based on the PUMI library
|
||||
#cmakedefine MFEM_USE_PUMI
|
||||
|
||||
// Build the GPU/CUDA-enabled version of the MFEM library.
|
||||
// Requires a CUDA compiler (nvcc).
|
||||
#cmakedefine MFEM_USE_CUDA
|
||||
|
||||
// Enable MFEM functionality based on the RAJA library
|
||||
#cmakedefine MFEM_USE_RAJA
|
||||
|
||||
// Enable MFEM functionality based on the OCCA library
|
||||
#cmakedefine MFEM_USE_OCCA
|
||||
|
||||
// Enable MFEM's internal Memory Manager (needed e.g. for MFEM_USE_CUDA)
|
||||
#cmakedefine MFEM_USE_MM
|
||||
|
||||
// Which library functions to use in class StopWatch for measuring time.
|
||||
// For a list of the available options, see INSTALL.
|
||||
// If not defined, an option is selected automatically.
|
||||
@@ -131,6 +109,10 @@
|
||||
// Enable MFEM functionality based on the SUNDIALS libraries.
|
||||
#cmakedefine MFEM_USE_SUNDIALS
|
||||
|
||||
// Windows specific options
|
||||
// Macro needed to get defines like M_PI from <cmath>. (Visual Studio C++ only?)
|
||||
#cmakedefine _USE_MATH_DEFINES
|
||||
|
||||
// Version of HYPRE used for building MFEM.
|
||||
#cmakedefine MFEM_HYPRE_VERSION @MFEM_HYPRE_VERSION@
|
||||
|
||||
|
||||
@@ -1,19 +0,0 @@
|
||||
# Copyright (c) 2010, Lawrence Livermore National Security, LLC. Produced at the
|
||||
# Lawrence Livermore National Laboratory. LLNL-CODE-443211. All Rights reserved.
|
||||
# See file COPYRIGHT for details.
|
||||
#
|
||||
# This file is part of the MFEM library. For more information and source code
|
||||
# availability see http://mfem.org.
|
||||
#
|
||||
# MFEM is free software; you can redistribute it and/or modify it under the
|
||||
# terms of the GNU Lesser General Public License (as published by the Free
|
||||
# Software Foundation) version 2.1 dated February 1999.
|
||||
|
||||
# Defines the following variables:
|
||||
# - OCCA_FOUND
|
||||
# - OCCA_LIBRARIES
|
||||
# - OCCA_INCLUDE_DIRS
|
||||
|
||||
include(MfemCmakeUtilities)
|
||||
mfem_find_package(OCCA OCCA OCCA_DIR "include" "occa.hpp" "lib" "occa"
|
||||
"Paths to headers required by OCCA." "Libraries required by OCCA.")
|
||||
@@ -1,30 +0,0 @@
|
||||
# Copyright (c) 2010, Lawrence Livermore National Security, LLC. Produced at the
|
||||
# Lawrence Livermore National Laboratory. LLNL-CODE-443211. All Rights reserved.
|
||||
# See file COPYRIGHT for details.
|
||||
#
|
||||
# This file is part of the MFEM library. For more information and source code
|
||||
# availability see http://mfem.org.
|
||||
#
|
||||
# MFEM is free software; you can redistribute it and/or modify it under the
|
||||
# terms of the GNU Lesser General Public License (as published by the Free
|
||||
# Software Foundation) version 2.1 dated February 1999.
|
||||
|
||||
# Defines the following variables:
|
||||
# - RAJA_FOUND
|
||||
# - RAJA_LIBRARIES
|
||||
# - RAJA_INCLUDE_DIRS
|
||||
|
||||
include(MfemCmakeUtilities)
|
||||
mfem_find_package(RAJA RAJA RAJA_DIR "include" "RAJA/RAJA.hpp" "lib" "RAJA"
|
||||
"Paths to headers required by RAJA." "Libraries required by RAJA.")
|
||||
|
||||
if (NOT RAJA_CONFIG_CMAKE)
|
||||
set(RAJA_CONFIG_CMAKE "${RAJA_DIR}/share/raja/cmake/raja-config.cmake")
|
||||
endif()
|
||||
if (EXISTS "${RAJA_CONFIG_CMAKE}")
|
||||
include("${RAJA_CONFIG_CMAKE}")
|
||||
if (ENABLE_CUDA AND NOT MFEM_USE_CUDA)
|
||||
message(FATAL_ERROR
|
||||
"RAJA is built with CUDA: MFEM_USE_CUDA=YES is required")
|
||||
endif()
|
||||
endif()
|
||||
@@ -229,17 +229,6 @@ endfunction(mfem_find_component)
|
||||
function(mfem_find_package Name Prefix DirVar IncSuffixes Header LibSuffixes
|
||||
Lib IncDoc LibDoc)
|
||||
|
||||
# If we have the TPL_ versions of _INCLUDE_DIRS and _LIBRARIES then set the
|
||||
# standard ${Prefix} versions
|
||||
if (TPL_${Prefix}_INCLUDE_DIRS)
|
||||
set(${Prefix}_INCLUDE_DIRS ${TPL_${Prefix}_INCLUDE_DIRS} CACHE STRING
|
||||
"TPL_${Prefix}_INCLUDE_DIRS was found." FORCE)
|
||||
endif()
|
||||
if (TPL_${Prefix}_LIBRARIES)
|
||||
set(${Prefix}_LIBRARIES ${TPL_${Prefix}_LIBRARIES} CACHE STRING
|
||||
"TPL_${Prefix}_LIBRARIES was found." FORCE)
|
||||
endif()
|
||||
|
||||
# Quick return
|
||||
if (${Prefix}_FOUND)
|
||||
return()
|
||||
@@ -696,164 +685,3 @@ function(mfem_find_library Name Prefix Lib LibDoc CheckVar CheckSrc)
|
||||
endif()
|
||||
|
||||
endfunction(mfem_find_library)
|
||||
|
||||
|
||||
#
|
||||
# Function that creates 'config.mk' from 'config.mk.in' for the both the
|
||||
# build- and the install-locations and define install rules for 'config.mk'
|
||||
# and 'test.mk'.
|
||||
#
|
||||
function(mfem_export_mk_files)
|
||||
|
||||
# Define a few auxiliary variables (not written to 'config.mk')
|
||||
string(TOUPPER "${CMAKE_BUILD_TYPE}" BUILD_TYPE)
|
||||
# CMAKE_SHARED_LIBRARY_RUNTIME_C_FLAG -> '-Wl,-rpath,'
|
||||
set(shared_link_flag ${CMAKE_SHARED_LIBRARY_RUNTIME_C_FLAG})
|
||||
if (NOT shared_link_flag)
|
||||
set(shared_link_flag "-Wl,-rpath,")
|
||||
endif()
|
||||
|
||||
# Convert Boolean vars to YES/NO without writting the values to cache
|
||||
set(CONFIG_MK_BOOL_VARS MFEM_USE_MPI MFEM_USE_METIS MFEM_USE_METIS_5
|
||||
MFEM_DEBUG MFEM_USE_EXCEPTIONS MFEM_USE_GZSTREAM MFEM_USE_LIBUNWIND
|
||||
MFEM_USE_LAPACK MFEM_THREAD_SAFE MFEM_USE_OPENMP MFEM_USE_LEGACY_OPENMP
|
||||
MFEM_USE_MEMALLOC MFEM_USE_SUNDIALS MFEM_USE_MESQUITE MFEM_USE_SUITESPARSE
|
||||
MFEM_USE_SUPERLU MFEM_USE_STRUMPACK MFEM_USE_GECKO MFEM_USE_GNUTLS
|
||||
MFEM_USE_NETCDF MFEM_USE_PETSC MFEM_USE_MPFR MFEM_USE_SIDRE
|
||||
MFEM_USE_CONDUIT MFEM_USE_PUMI MFEM_USE_MM MFEM_USE_CUDA MFEM_USE_OCCA
|
||||
MFEM_USE_RAJA)
|
||||
foreach(var ${CONFIG_MK_BOOL_VARS})
|
||||
if (${var})
|
||||
set(${var} YES)
|
||||
else()
|
||||
set(${var} NO)
|
||||
endif()
|
||||
endforeach()
|
||||
# TODO: Add support for MFEM_USE_CUDA=YES
|
||||
set(MFEM_CXX ${CMAKE_CXX_COMPILER})
|
||||
set(MFEM_CPPFLAGS "")
|
||||
string(STRIP "${CMAKE_CXX_FLAGS_${BUILD_TYPE}} ${CMAKE_CXX_FLAGS}"
|
||||
MFEM_CXXFLAGS)
|
||||
set(MFEM_TPLFLAGS "")
|
||||
foreach(dir ${MFEM_TPL_INCLUDE_DIRS})
|
||||
set(MFEM_TPLFLAGS "${MFEM_TPLFLAGS} -I${dir}")
|
||||
endforeach()
|
||||
# TODO: MFEM_TPLFLAGS: add other TPL flags, in addition to the -I flags.
|
||||
set(MFEM_INCFLAGS "-I\$(MFEM_INC_DIR) \$(MFEM_TPLFLAGS)")
|
||||
set(MFEM_PICFLAG "")
|
||||
if (BUILD_SHARED_LIBS)
|
||||
set(MFEM_PICFLAG "${CMAKE_SHARED_LIBRARY_CXX_FLAGS}")
|
||||
endif()
|
||||
set(MFEM_FLAGS "\$(MFEM_CPPFLAGS) \$(MFEM_CXXFLAGS) \$(MFEM_INCFLAGS)")
|
||||
# TPL link flags: set below
|
||||
set(MFEM_EXT_LIBS "")
|
||||
if (BUILD_SHARED_LIBS)
|
||||
set(MFEM_LIBS "${shared_link_flag}\$(MFEM_LIB_DIR) -L\$(MFEM_LIB_DIR)")
|
||||
set(MFEM_LIBS "${MFEM_LIBS} -lmfem \$(MFEM_EXT_LIBS)")
|
||||
if (APPLE)
|
||||
set(SO_VER ".${mfem_VERSION}${CMAKE_SHARED_LIBRARY_SUFFIX}")
|
||||
else()
|
||||
set(SO_VER "${CMAKE_SHARED_LIBRARY_SUFFIX}.${mfem_VERSION}")
|
||||
endif()
|
||||
set(MFEM_LIB_FILE "\$(MFEM_LIB_DIR)/libmfem${SO_VER}")
|
||||
set(MFEM_SHARED YES)
|
||||
set(MFEM_STATIC NO)
|
||||
else()
|
||||
set(MFEM_LIBS "-L\$(MFEM_LIB_DIR) -lmfem \$(MFEM_EXT_LIBS)")
|
||||
set(MFEM_LIB_FILE "\$(MFEM_LIB_DIR)/libmfem.a")
|
||||
set(MFEM_SHARED NO)
|
||||
set(MFEM_STATIC YES)
|
||||
endif()
|
||||
set(MFEM_BUILD_TAG "${CMAKE_SYSTEM}")
|
||||
set(MFEM_PREFIX "${CMAKE_INSTALL_PREFIX}")
|
||||
# For the next 4 variable, these are the values for the build-tree version of
|
||||
# 'config.mk'
|
||||
set(MFEM_INC_DIR "${PROJECT_BINARY_DIR}")
|
||||
set(MFEM_LIB_DIR "${PROJECT_BINARY_DIR}")
|
||||
set(MFEM_TEST_MK "${PROJECT_SOURCE_DIR}/config/test.mk")
|
||||
set(MFEM_CONFIG_EXTRA "MFEM_BUILD_DIR ?= ${PROJECT_BINARY_DIR}")
|
||||
set(MFEM_MPIEXEC ${MPIEXEC})
|
||||
if (NOT MFEM_MPIEXEC)
|
||||
set(MFEM_MPIEXEC "mpirun")
|
||||
endif()
|
||||
set(MFEM_MPIEXEC_NP ${MPIEXEC_NUMPROC_FLAG})
|
||||
if (NOT MFEM_MPIEXEC_NP)
|
||||
set(MFEM_MPIEXEC_NP "-np")
|
||||
endif()
|
||||
# MFEM_MPI_NP is already set
|
||||
# Define the variable 'MFEM_EXT_LIBS': handle PUMI libs
|
||||
if ("${MFEM_USE_PUMI}" STREQUAL "YES")
|
||||
message(STATUS "simmodsuite_dir = '${SIMMODSUITE_DIR}'")
|
||||
get_target_property(liblist ${PUMI_LIBRARIES} INTERFACE_LINK_LIBRARIES)
|
||||
set(pumi_dep_libs "${liblist}")
|
||||
foreach(pumilib ${liblist})
|
||||
get_target_property(libdeps ${pumilib} INTERFACE_LINK_LIBRARIES)
|
||||
if (NOT "${libdeps}" MATCHES "libdeps-NOTFOUND")
|
||||
list(APPEND pumi_dep_libs ${libdeps})
|
||||
endif()
|
||||
endforeach()
|
||||
list(REMOVE_DUPLICATES pumi_dep_libs)
|
||||
foreach(pumilib ${pumi_dep_libs})
|
||||
unset(lib CACHE)
|
||||
string(REGEX REPLACE "^SCOREC::" "" libname ${pumilib})
|
||||
string(FIND "${pumilib}" ".a" staticlib)
|
||||
string(FIND "${pumilib}" ".so" sharedlib)
|
||||
find_library(lib ${libname} PATHS ${PUMI_DIR}/lib NO_DEFUALT_PATH)
|
||||
if (NOT "${sharedlib}" MATCHES "-1" OR
|
||||
NOT "${staticlib}" MATCHES "-1" )
|
||||
set(MFEM_EXT_LIBS "${pumilib} ${MFEM_EXT_LIBS}")
|
||||
elseif (NOT "${lib}" MATCHES "lib-NOTFOUND")
|
||||
set(MFEM_EXT_LIBS "${lib} ${MFEM_EXT_LIBS}")
|
||||
elseif ("${lib}" MATCHES "lib-NOTFOUND" AND
|
||||
NOT "${libname}" MATCHES "can" AND
|
||||
NOT "${libname}" MATCHES "pthread")
|
||||
message(FATAL_ERROR "SCOREC lib ${libname} not found")
|
||||
endif()
|
||||
endforeach()
|
||||
endif()
|
||||
# Define the variable 'MFEM_EXT_LIBS': handle other (not PUMI) libs
|
||||
foreach(lib ${TPL_LIBRARIES})
|
||||
get_filename_component(suffix ${lib} EXT)
|
||||
# handle interfaces (e.g., SCOREC::apf)
|
||||
if ("${lib}" MATCHES "SCOREC::.*")
|
||||
elseif (NOT "${lib}" MATCHES "SCOREC::.*" AND "${lib}" MATCHES ".*::.*")
|
||||
message(FATAL_ERROR "***** interface lib found ... exiting *****")
|
||||
# handle static and shared libs
|
||||
elseif ("${suffix}" STREQUAL "${CMAKE_SHARED_LIBRARY_SUFFIX}")
|
||||
get_filename_component(dir ${lib} DIRECTORY)
|
||||
get_filename_component(fullLibName ${lib} NAME_WE)
|
||||
string(REGEX REPLACE "^lib" "" libname ${fullLibName})
|
||||
set(MFEM_EXT_LIBS
|
||||
"${MFEM_EXT_LIBS} ${shared_link_flag}${dir} -L${dir} -l${libname}")
|
||||
else()
|
||||
set(MFEM_EXT_LIBS "${MFEM_EXT_LIBS} ${lib}")
|
||||
endif()
|
||||
endforeach()
|
||||
|
||||
# Create the build-tree version of 'config.mk'
|
||||
configure_file(
|
||||
"${PROJECT_SOURCE_DIR}/config/config.mk.in"
|
||||
"${PROJECT_BINARY_DIR}/config/config.mk")
|
||||
# Copy 'test.mk' from the source-tree to the build-tree
|
||||
configure_file(
|
||||
"${PROJECT_SOURCE_DIR}/config/test.mk"
|
||||
"${PROJECT_BINARY_DIR}/config/test.mk" COPYONLY)
|
||||
|
||||
# Update variables for the install-tree version of 'config.mk'
|
||||
set(MFEM_INC_DIR "${CMAKE_INSTALL_PREFIX}/include")
|
||||
set(MFEM_LIB_DIR "${CMAKE_INSTALL_PREFIX}/lib")
|
||||
set(MFEM_TEST_MK "${CMAKE_INSTALL_PREFIX}/share/mfem/test.mk")
|
||||
set(MFEM_CONFIG_EXTRA "")
|
||||
|
||||
# Create the install-tree version of 'config.mk'
|
||||
configure_file(
|
||||
"${PROJECT_SOURCE_DIR}/config/config.mk.in"
|
||||
"${PROJECT_BINARY_DIR}/config/config-install.mk")
|
||||
|
||||
# Install rules for 'config.mk' and 'test.mk'
|
||||
install(FILES ${PROJECT_SOURCE_DIR}/config/test.mk
|
||||
DESTINATION ${CMAKE_INSTALL_PREFIX}/share/mfem/)
|
||||
install(FILES ${PROJECT_BINARY_DIR}/config/config-install.mk
|
||||
DESTINATION ${CMAKE_INSTALL_PREFIX}/share/mfem/ RENAME config.mk)
|
||||
|
||||
endfunction()
|
||||
|
||||
@@ -15,9 +15,6 @@
|
||||
//
|
||||
// Otherwise, use the local file: _config.hpp.
|
||||
|
||||
#ifndef MFEM_CONFIG_HPP
|
||||
#define MFEM_CONFIG_HPP
|
||||
|
||||
#ifdef MFEM_BUILD_DIR
|
||||
#define MFEM_QUOTE(a) #a
|
||||
#define MFEM_MAKE_PATH(x,y) MFEM_QUOTE(x/y)
|
||||
@@ -26,18 +23,6 @@
|
||||
#include "_config.hpp"
|
||||
#endif
|
||||
|
||||
// Common configuration macros
|
||||
|
||||
#if (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 7)) || defined(__clang__)
|
||||
#define MFEM_HAVE_GCC_PRAGMA_DIAGNOSTIC
|
||||
#endif
|
||||
|
||||
// Windows specific options
|
||||
#ifdef _WIN32
|
||||
// Macro needed to get defines like M_PI from <cmath>. (Visual Studio C++ only?)
|
||||
#define _USE_MATH_DEFINES
|
||||
#endif
|
||||
|
||||
// Check dependencies:
|
||||
|
||||
// Options that require MPI
|
||||
@@ -55,10 +40,3 @@
|
||||
#error Building with PUMI (MFEM_USE_PUMI=YES) requires MPI (MFEM_USE_MPI=YES)
|
||||
#endif
|
||||
#endif // MFEM_USE_MPI not defined
|
||||
|
||||
// CUDA requires the memory manager
|
||||
#if defined(MFEM_USE_CUDA) && !defined(MFEM_USE_MM)
|
||||
#error Building with CUDA (MFEM_USE_CUDA=YES) requires MFEM_USE_MM=YES
|
||||
#endif
|
||||
|
||||
#endif // MFEM_CONFIG_HPP
|
||||
|
||||
+6
-22
@@ -30,12 +30,6 @@
|
||||
#define MFEM_VERSION_MINOR (((MFEM_VERSION)/100)%100)
|
||||
#define MFEM_VERSION_PATCH ((MFEM_VERSION)%100)
|
||||
|
||||
// The absolute path of the MFEM source prefix
|
||||
// #define MFEM_SOURCE_DIR "@MFEM_SOURCE_DIR@"
|
||||
|
||||
// The absolute path of the MFEM installation prefix
|
||||
// #define MFEM_INSTALL_DIR "@MFEM_INSTALL_DIR@"
|
||||
|
||||
// Description of the git commit used to build MFEM.
|
||||
// #define MFEM_GIT_STRING "@MFEM_GIT_STRING@"
|
||||
|
||||
@@ -68,12 +62,9 @@
|
||||
// allocation and de-allocation.
|
||||
// #define MFEM_THREAD_SAFE
|
||||
|
||||
// Enable the OpenMP backend.
|
||||
// Enable experimental OpenMP support. Requires MFEM_THREAD_SAFE.
|
||||
// #define MFEM_USE_OPENMP
|
||||
|
||||
// [Deprecated] Enable experimental OpenMP support. Requires MFEM_THREAD_SAFE.
|
||||
// #define MFEM_USE_LEGACY_OPENMP
|
||||
|
||||
// Internal MFEM option: enable group/batch allocation for some small objects.
|
||||
// #define MFEM_USE_MEMALLOC
|
||||
|
||||
@@ -121,18 +112,11 @@
|
||||
// Enable MFEM functionality based on the PUMI library
|
||||
// #define MFEM_USE_PUMI
|
||||
|
||||
// Build the GPU/CUDA-enabled version of the MFEM library.
|
||||
// Requires a CUDA compiler (nvcc).
|
||||
// #define MFEM_USE_CUDA
|
||||
|
||||
// Enable functionality based on the RAJA library.
|
||||
// #define MFEM_USE_RAJA
|
||||
|
||||
// Enable functionality based on the OCCA library.
|
||||
// #define MFEM_USE_OCCA
|
||||
|
||||
// Enable MFEM's internal Memory Manager (needed e.g. for MFEM_USE_CUDA)
|
||||
// #define MFEM_USE_MM
|
||||
// Windows specific options
|
||||
#ifdef _WIN32
|
||||
// Macro needed to get defines like M_PI from <cmath>. (Visual Studio C++ only?)
|
||||
#define _USE_MATH_DEFINES
|
||||
#endif
|
||||
|
||||
// Version of HYPRE used for building MFEM.
|
||||
// #define MFEM_HYPRE_VERSION @MFEM_HYPRE_VERSION@
|
||||
|
||||
+28
-38
@@ -10,41 +10,34 @@
|
||||
# Software Foundation) version 2.1 dated February 1999.
|
||||
|
||||
# Variables corresponding to defines in config.hpp (YES, NO, or value)
|
||||
MFEM_VERSION = @MFEM_VERSION@
|
||||
MFEM_VERSION_STRING = @MFEM_VERSION_STRING@
|
||||
MFEM_SOURCE_DIR = @MFEM_SOURCE_DIR@
|
||||
MFEM_INSTALL_DIR = @MFEM_INSTALL_DIR@
|
||||
MFEM_GIT_STRING = @MFEM_GIT_STRING@
|
||||
MFEM_USE_MPI = @MFEM_USE_MPI@
|
||||
MFEM_USE_METIS = @MFEM_USE_METIS@
|
||||
MFEM_USE_METIS_5 = @MFEM_USE_METIS_5@
|
||||
MFEM_DEBUG = @MFEM_DEBUG@
|
||||
MFEM_USE_EXCEPTIONS = @MFEM_USE_EXCEPTIONS@
|
||||
MFEM_USE_GZSTREAM = @MFEM_USE_GZSTREAM@
|
||||
MFEM_USE_LIBUNWIND = @MFEM_USE_LIBUNWIND@
|
||||
MFEM_USE_LAPACK = @MFEM_USE_LAPACK@
|
||||
MFEM_THREAD_SAFE = @MFEM_THREAD_SAFE@
|
||||
MFEM_USE_LEGACY_OPENMP = @MFEM_USE_LEGACY_OPENMP@
|
||||
MFEM_USE_OPENMP = @MFEM_USE_OPENMP@
|
||||
MFEM_USE_MEMALLOC = @MFEM_USE_MEMALLOC@
|
||||
MFEM_TIMER_TYPE = @MFEM_TIMER_TYPE@
|
||||
MFEM_USE_SUNDIALS = @MFEM_USE_SUNDIALS@
|
||||
MFEM_USE_MESQUITE = @MFEM_USE_MESQUITE@
|
||||
MFEM_USE_SUITESPARSE = @MFEM_USE_SUITESPARSE@
|
||||
MFEM_USE_SUPERLU = @MFEM_USE_SUPERLU@
|
||||
MFEM_USE_STRUMPACK = @MFEM_USE_STRUMPACK@
|
||||
MFEM_USE_GECKO = @MFEM_USE_GECKO@
|
||||
MFEM_USE_GNUTLS = @MFEM_USE_GNUTLS@
|
||||
MFEM_USE_NETCDF = @MFEM_USE_NETCDF@
|
||||
MFEM_USE_PETSC = @MFEM_USE_PETSC@
|
||||
MFEM_USE_MPFR = @MFEM_USE_MPFR@
|
||||
MFEM_USE_SIDRE = @MFEM_USE_SIDRE@
|
||||
MFEM_USE_CONDUIT = @MFEM_USE_CONDUIT@
|
||||
MFEM_USE_PUMI = @MFEM_USE_PUMI@
|
||||
MFEM_USE_CUDA = @MFEM_USE_CUDA@
|
||||
MFEM_USE_RAJA = @MFEM_USE_RAJA@
|
||||
MFEM_USE_OCCA = @MFEM_USE_OCCA@
|
||||
MFEM_USE_MM = @MFEM_USE_MM@
|
||||
MFEM_VERSION = @MFEM_VERSION@
|
||||
MFEM_VERSION_STRING = @MFEM_VERSION_STRING@
|
||||
MFEM_GIT_STRING = @MFEM_GIT_STRING@
|
||||
MFEM_USE_MPI = @MFEM_USE_MPI@
|
||||
MFEM_USE_METIS = @MFEM_USE_METIS@
|
||||
MFEM_USE_METIS_5 = @MFEM_USE_METIS_5@
|
||||
MFEM_DEBUG = @MFEM_DEBUG@
|
||||
MFEM_USE_EXCEPTIONS = @MFEM_USE_EXCEPTIONS@
|
||||
MFEM_USE_GZSTREAM = @MFEM_USE_GZSTREAM@
|
||||
MFEM_USE_LIBUNWIND = @MFEM_USE_LIBUNWIND@
|
||||
MFEM_USE_LAPACK = @MFEM_USE_LAPACK@
|
||||
MFEM_THREAD_SAFE = @MFEM_THREAD_SAFE@
|
||||
MFEM_USE_OPENMP = @MFEM_USE_OPENMP@
|
||||
MFEM_USE_MEMALLOC = @MFEM_USE_MEMALLOC@
|
||||
MFEM_TIMER_TYPE = @MFEM_TIMER_TYPE@
|
||||
MFEM_USE_SUNDIALS = @MFEM_USE_SUNDIALS@
|
||||
MFEM_USE_MESQUITE = @MFEM_USE_MESQUITE@
|
||||
MFEM_USE_SUITESPARSE = @MFEM_USE_SUITESPARSE@
|
||||
MFEM_USE_SUPERLU = @MFEM_USE_SUPERLU@
|
||||
MFEM_USE_STRUMPACK = @MFEM_USE_STRUMPACK@
|
||||
MFEM_USE_GECKO = @MFEM_USE_GECKO@
|
||||
MFEM_USE_GNUTLS = @MFEM_USE_GNUTLS@
|
||||
MFEM_USE_NETCDF = @MFEM_USE_NETCDF@
|
||||
MFEM_USE_PETSC = @MFEM_USE_PETSC@
|
||||
MFEM_USE_MPFR = @MFEM_USE_MPFR@
|
||||
MFEM_USE_SIDRE = @MFEM_USE_SIDRE@
|
||||
MFEM_USE_CONDUIT = @MFEM_USE_CONDUIT@
|
||||
MFEM_USE_PUMI = @MFEM_USE_PUMI@
|
||||
|
||||
# Compiler, compile options, and link options
|
||||
MFEM_CXX = @MFEM_CXX@
|
||||
@@ -72,8 +65,5 @@ MFEM_MPIEXEC = @MFEM_MPIEXEC@
|
||||
MFEM_MPIEXEC_NP = @MFEM_MPIEXEC_NP@
|
||||
MFEM_MPI_NP = @MFEM_MPI_NP@
|
||||
|
||||
# The NVCC compiler cannot link with -x=cu
|
||||
MFEM_LINK_FLAGS := $(filter-out -x=cu, $(MFEM_FLAGS))
|
||||
|
||||
# Optional extra configuration
|
||||
@MFEM_CONFIG_EXTRA@
|
||||
|
||||
+3
-18
@@ -26,8 +26,7 @@ option(MFEM_USE_GZSTREAM "Enable gzstream for compressed data streams." OFF)
|
||||
option(MFEM_USE_LIBUNWIND "Enable backtrace for errors." OFF)
|
||||
option(MFEM_USE_LAPACK "Enable LAPACK usage" OFF)
|
||||
option(MFEM_THREAD_SAFE "Enable thread safety" OFF)
|
||||
option(MFEM_USE_OPENMP "Enable the OpenMP backend" OFF)
|
||||
option(MFEM_USE_LEGACY_OPENMP "Enable legacy OpenMP usage" OFF)
|
||||
option(MFEM_USE_OPENMP "Enable OpenMP usage" OFF)
|
||||
option(MFEM_USE_MEMALLOC "Enable the internal MEMALLOC option." ON)
|
||||
option(MFEM_USE_SUNDIALS "Enable SUNDIALS usage" OFF)
|
||||
option(MFEM_USE_MESQUITE "Enable MESQUITE usage" OFF)
|
||||
@@ -42,12 +41,6 @@ option(MFEM_USE_MPFR "Enable MPFR usage." OFF)
|
||||
option(MFEM_USE_SIDRE "Enable Axom/Sidre usage" OFF)
|
||||
option(MFEM_USE_CONDUIT "Enable Conduit usage" OFF)
|
||||
option(MFEM_USE_PUMI "Enable PUMI" OFF)
|
||||
option(MFEM_USE_MM "Enable MFEM's memory manager" OFF)
|
||||
option(MFEM_USE_CUDA "Enable CUDA" OFF)
|
||||
option(MFEM_USE_OCCA "Enable OCCA" OFF)
|
||||
option(MFEM_USE_RAJA "Enable RAJA" OFF)
|
||||
|
||||
set(MFEM_MPI_NP 4 CACHE STRING "Number of processes used for MPI tests")
|
||||
|
||||
# Allow a user to disable testing, examples, and/or miniapps at CONFIGURE TIME
|
||||
# if they don't want/need them (e.g. if MFEM is "just a dependency" and all they
|
||||
@@ -63,16 +56,13 @@ option(MFEM_ENABLE_MINIAPPS "Build all of the miniapps" OFF)
|
||||
# set(CXX g++)
|
||||
# set(MPICXX mpicxx)
|
||||
|
||||
# Set the target CUDA architecture
|
||||
set(CUDA_ARCH "sm_60" CACHE STRING "Target CUDA architecture.")
|
||||
|
||||
set(MFEM_DIR ${CMAKE_CURRENT_SOURCE_DIR})
|
||||
|
||||
# The *_DIR paths below will be the first place searched for the corresponding
|
||||
# headers and library. If these fail, then standard cmake search is performed.
|
||||
# Note: if the variables are already in the cache, they are not overwritten.
|
||||
|
||||
set(HYPRE_DIR "${MFEM_DIR}/../hypre/src/hypre" CACHE PATH
|
||||
set(HYPRE_DIR "${MFEM_DIR}/../hypre-2.10.0b/src/hypre" CACHE PATH
|
||||
"Path to the hypre library.")
|
||||
# If hypre was compiled to depend on BLAS and LAPACK:
|
||||
# set(HYPRE_REQUIRED_PACKAGES "BLAS" "LAPACK" CACHE STRING
|
||||
@@ -110,7 +100,6 @@ set(SuperLUDist_REQUIRED_PACKAGES "MPI" "BLAS" "ParMETIS" CACHE STRING
|
||||
set(STRUMPACK_DIR "${MFEM_DIR}/../STRUMPACK-build" CACHE PATH
|
||||
"Path to the STRUMPACK library.")
|
||||
# STRUMPACK may also depend on "OpenMP", depending on how it was compiled.
|
||||
# Starting with v2.2.0 of STRUMPACK, ParMETIS and Scotch are optional.
|
||||
set(STRUMPACK_REQUIRED_PACKAGES "MPI" "MPI_Fortran" "ParMETIS" "METIS"
|
||||
"ScaLAPACK" "Scotch/ptscotch/ptscotcherr/scotch/scotcherr" CACHE STRING
|
||||
"Additional packages required by STRUMPACK.")
|
||||
@@ -118,8 +107,7 @@ set(STRUMPACK_REQUIRED_PACKAGES "MPI" "MPI_Fortran" "ParMETIS" "METIS"
|
||||
# set(STRUMPACK_REQUIRED_LIBRARIES "gfortran" "mpi_mpifh" CACHE STRING
|
||||
# "Additional libraries required by STRUMPACK.")
|
||||
|
||||
# The Scotch library, required by STRUMPACK <= v2.1.0, optional in STRUMPACK >=
|
||||
# v2.2.0.
|
||||
# The Scotch library, required by STRUMPACK
|
||||
set(Scotch_DIR "${MFEM_DIR}/../scotch_6.0.4" CACHE PATH
|
||||
"Path to the Scotch and PT-Scotch libraries.")
|
||||
set(Scotch_REQUIRED_PACKAGES "Threads" CACHE STRING
|
||||
@@ -161,9 +149,6 @@ set(Axom_REQUIRED_PACKAGES "Conduit/relay" CACHE STRING
|
||||
set(PUMI_DIR "${MFEM_DIR}/../pumi-2.1.0" CACHE STRING
|
||||
"Directory where PUMI is installed")
|
||||
|
||||
set(OCCA_DIR "${MFEM_DIR}/../occa" CACHE PATH "Path to OCCA")
|
||||
set(RAJA_DIR "${MFEM_DIR}/../raja" CACHE PATH "Path to RAJA")
|
||||
|
||||
set(BLAS_INCLUDE_DIRS "" CACHE STRING "Path to BLAS headers.")
|
||||
set(BLAS_LIBRARIES "" CACHE STRING "The BLAS library.")
|
||||
set(LAPACK_INCLUDE_DIRS "" CACHE STRING "Path to LAPACK headers.")
|
||||
|
||||
+38
-76
@@ -21,13 +21,8 @@ NOTMAC := $(subst Darwin,,$(shell uname -s))
|
||||
CXX = g++
|
||||
MPICXX = mpicxx
|
||||
|
||||
BASE_FLAGS = -std=c++11
|
||||
OPTIM_FLAGS = -O3 $(BASE_FLAGS)
|
||||
DEBUG_FLAGS = -g $(XCOMPILER)-Wall $(BASE_FLAGS)
|
||||
|
||||
# Prefixes for passing flags to the compiler and linker when using CXX or MPICXX
|
||||
CXX_XCOMPILER =
|
||||
CXX_XLINKER = -Wl,
|
||||
OPTIM_FLAGS = -O3
|
||||
DEBUG_FLAGS = -g -Wall
|
||||
|
||||
# Destination location of make install
|
||||
# PREFIX = $(HOME)/mfem
|
||||
@@ -38,41 +33,33 @@ INSTALL = /usr/bin/install
|
||||
STATIC = YES
|
||||
SHARED = NO
|
||||
|
||||
# CUDA configuration options
|
||||
CUDA_CXX = nvcc
|
||||
CUDA_ARCH = sm_60
|
||||
CUDA_FLAGS = -x=cu --expt-extended-lambda -arch=$(CUDA_ARCH)
|
||||
# Prefixes for passing flags to the host compiler and linker when using CUDA_CXX
|
||||
CUDA_XCOMPILER = -Xcompiler=
|
||||
CUDA_XLINKER = -Xlinker=
|
||||
|
||||
ifneq ($(NOTMAC),)
|
||||
AR = ar
|
||||
ARFLAGS = cruv
|
||||
RANLIB = ranlib
|
||||
PICFLAG = $(XCOMPILER)-fPIC
|
||||
PICFLAG = -fPIC
|
||||
SO_EXT = so
|
||||
SO_VER = so.$(MFEM_VERSION_STRING)
|
||||
BUILD_SOFLAGS = -shared $(XLINKER)-soname,libmfem.$(SO_VER)
|
||||
BUILD_RPATH = $(XLINKER)-rpath,$(BUILD_REAL_DIR)
|
||||
BUILD_SOFLAGS = -shared -Wl,-soname,libmfem.$(SO_VER)
|
||||
BUILD_RPATH = -Wl,-rpath,$(BUILD_REAL_DIR)
|
||||
INSTALL_SOFLAGS = $(BUILD_SOFLAGS)
|
||||
INSTALL_RPATH = $(XLINKER)-rpath,@MFEM_LIB_DIR@
|
||||
INSTALL_RPATH = -Wl,-rpath,@MFEM_LIB_DIR@
|
||||
else
|
||||
# Silence "has no symbols" warnings on Mac OS X
|
||||
AR = ar
|
||||
ARFLAGS = Scruv
|
||||
RANLIB = ranlib -no_warning_for_no_symbols
|
||||
PICFLAG = $(XCOMPILER)-fPIC
|
||||
PICFLAG = -fPIC
|
||||
SO_EXT = dylib
|
||||
SO_VER = $(MFEM_VERSION_STRING).dylib
|
||||
MAKE_SOFLAGS = $(XLINKER)-dylib,-install_name,$(1)/libmfem.$(SO_VER),\
|
||||
MAKE_SOFLAGS = -Wl,-dylib,-install_name,$(1)/libmfem.$(SO_VER),\
|
||||
-compatibility_version,$(MFEM_VERSION_STRING),\
|
||||
-current_version,$(MFEM_VERSION_STRING),\
|
||||
-undefined,dynamic_lookup
|
||||
BUILD_SOFLAGS = $(subst $1 ,,$(call MAKE_SOFLAGS,$(BUILD_REAL_DIR)))
|
||||
BUILD_RPATH = $(XLINKER)-undefined,dynamic_lookup
|
||||
BUILD_RPATH = -Wl,-undefined,dynamic_lookup
|
||||
INSTALL_SOFLAGS = $(subst $1 ,,$(call MAKE_SOFLAGS,$(MFEM_LIB_DIR)))
|
||||
INSTALL_RPATH = $(XLINKER)-undefined,dynamic_lookup
|
||||
INSTALL_RPATH = -Wl,-undefined,dynamic_lookup
|
||||
endif
|
||||
|
||||
# Set CXXFLAGS to overwrite the default selection of DEBUG_FLAGS/OPTIM_FLAGS
|
||||
@@ -95,36 +82,31 @@ MFEM_MPI_NP = 4
|
||||
# config.hpp. The values below are the defaults for generating the actual values
|
||||
# in config.mk and config.hpp.
|
||||
|
||||
MFEM_USE_MPI = NO
|
||||
MFEM_USE_METIS = $(MFEM_USE_MPI)
|
||||
MFEM_USE_METIS_5 = NO
|
||||
MFEM_DEBUG = NO
|
||||
MFEM_USE_EXCEPTIONS = NO
|
||||
MFEM_USE_GZSTREAM = NO
|
||||
MFEM_USE_LIBUNWIND = NO
|
||||
MFEM_USE_LAPACK = NO
|
||||
MFEM_THREAD_SAFE = NO
|
||||
MFEM_USE_OPENMP = NO
|
||||
MFEM_USE_LEGACY_OPENMP = NO
|
||||
MFEM_USE_MEMALLOC = YES
|
||||
MFEM_TIMER_TYPE = $(if $(NOTMAC),2,4)
|
||||
MFEM_USE_SUNDIALS = NO
|
||||
MFEM_USE_MESQUITE = NO
|
||||
MFEM_USE_SUITESPARSE = NO
|
||||
MFEM_USE_SUPERLU = NO
|
||||
MFEM_USE_STRUMPACK = NO
|
||||
MFEM_USE_GECKO = NO
|
||||
MFEM_USE_GNUTLS = NO
|
||||
MFEM_USE_NETCDF = NO
|
||||
MFEM_USE_PETSC = NO
|
||||
MFEM_USE_MPFR = NO
|
||||
MFEM_USE_SIDRE = NO
|
||||
MFEM_USE_CONDUIT = NO
|
||||
MFEM_USE_PUMI = NO
|
||||
MFEM_USE_CUDA = NO
|
||||
MFEM_USE_RAJA = NO
|
||||
MFEM_USE_OCCA = NO
|
||||
MFEM_USE_MM = NO
|
||||
MFEM_USE_MPI = NO
|
||||
MFEM_USE_METIS = $(MFEM_USE_MPI)
|
||||
MFEM_USE_METIS_5 = NO
|
||||
MFEM_DEBUG = NO
|
||||
MFEM_USE_EXCEPTIONS = NO
|
||||
MFEM_USE_GZSTREAM = NO
|
||||
MFEM_USE_LIBUNWIND = NO
|
||||
MFEM_USE_LAPACK = NO
|
||||
MFEM_THREAD_SAFE = NO
|
||||
MFEM_USE_OPENMP = NO
|
||||
MFEM_USE_MEMALLOC = YES
|
||||
MFEM_TIMER_TYPE = $(if $(NOTMAC),2,4)
|
||||
MFEM_USE_SUNDIALS = NO
|
||||
MFEM_USE_MESQUITE = NO
|
||||
MFEM_USE_SUITESPARSE = NO
|
||||
MFEM_USE_SUPERLU = NO
|
||||
MFEM_USE_STRUMPACK = NO
|
||||
MFEM_USE_GECKO = NO
|
||||
MFEM_USE_GNUTLS = NO
|
||||
MFEM_USE_NETCDF = NO
|
||||
MFEM_USE_PETSC = NO
|
||||
MFEM_USE_MPFR = NO
|
||||
MFEM_USE_SIDRE = NO
|
||||
MFEM_USE_CONDUIT = NO
|
||||
MFEM_USE_PUMI = NO
|
||||
|
||||
# Compile and link options for zlib.
|
||||
ZLIB_DIR =
|
||||
@@ -136,7 +118,7 @@ LIBUNWIND_OPT = -g
|
||||
LIBUNWIND_LIB = $(if $(NOTMAC),-lunwind -ldl,)
|
||||
|
||||
# HYPRE library configuration (needed to build the parallel version)
|
||||
HYPRE_DIR = @MFEM_DIR@/../hypre/src/hypre
|
||||
HYPRE_DIR = @MFEM_DIR@/../hypre-2.10.0b/src/hypre
|
||||
HYPRE_OPT = -I$(HYPRE_DIR)/include
|
||||
HYPRE_LIB = -L$(HYPRE_DIR)/lib -lHYPRE
|
||||
|
||||
@@ -154,8 +136,6 @@ ifeq ($(MFEM_USE_SUPERLU)$(MFEM_USE_STRUMPACK),NONO)
|
||||
else
|
||||
# ParMETIS: currently needed by SuperLU or STRUMPACK. We assume that METIS 5
|
||||
# (included with ParMETIS) is installed in the same location.
|
||||
# Starting with STRUMPACK v2.2.0, ParMETIS is an optional dependency while
|
||||
# METIS is still required.
|
||||
METIS_DIR = @MFEM_DIR@/../parmetis-4.0.3
|
||||
METIS_OPT = -I$(METIS_DIR)/include
|
||||
METIS_LIB = -L$(METIS_DIR)/lib -lparmetis -lmetis
|
||||
@@ -167,7 +147,7 @@ LAPACK_OPT =
|
||||
LAPACK_LIB = $(if $(NOTMAC),-llapack -lblas,-framework Accelerate)
|
||||
|
||||
# OpenMP configuration
|
||||
OPENMP_OPT = $(XCOMPILER)-fopenmp
|
||||
OPENMP_OPT = -fopenmp
|
||||
OPENMP_LIB =
|
||||
|
||||
# Used when MFEM_TIMER_TYPE = 2
|
||||
@@ -203,8 +183,7 @@ SUPERLU_DIR = @MFEM_DIR@/../SuperLU_DIST_5.1.0
|
||||
SUPERLU_OPT = -I$(SUPERLU_DIR)/SRC
|
||||
SUPERLU_LIB = -Wl,-rpath,$(SUPERLU_DIR)/SRC -L$(SUPERLU_DIR)/SRC -lsuperlu_dist
|
||||
|
||||
# SCOTCH library configuration (required by STRUMPACK <= v2.1.0, optional in
|
||||
# STRUMPACK >= v2.2.0)
|
||||
# SCOTCH library configuration (required by STRUMPACK)
|
||||
SCOTCH_DIR = @MFEM_DIR@/../scotch_6.0.4
|
||||
SCOTCH_OPT = -I$(SCOTCH_DIR)/include
|
||||
SCOTCH_LIB = -L$(SCOTCH_DIR)/lib -lptscotch -lptscotcherr -lscotch -lscotcherr\
|
||||
@@ -300,23 +279,6 @@ PUMI_OPT = -I$(PUMI_DIR)/include
|
||||
PUMI_LIB = -L$(PUMI_DIR)/lib -lpumi -lcrv -lma -lmds -lapf -lpcu -lgmi -lparma\
|
||||
-llion -lmth -lapf_zoltan -lspr
|
||||
|
||||
# CUDA library configuration (currently not needed)
|
||||
CUDA_OPT =
|
||||
CUDA_LIB =
|
||||
|
||||
# OCCA library configuration
|
||||
OCCA_DIR = @MFEM_DIR@/../occa
|
||||
OCCA_OPT = -I$(OCCA_DIR)/include
|
||||
OCCA_LIB = $(XLINKER)-rpath,$(OCCA_DIR)/lib -L$(OCCA_DIR)/lib -locca
|
||||
|
||||
# RAJA library configuration
|
||||
RAJA_DIR = @MFEM_DIR@/../raja
|
||||
RAJA_OPT = -I$(RAJA_DIR)/include
|
||||
ifdef CUB_DIR
|
||||
RAJA_OPT += -I$(CUB_DIR)
|
||||
endif
|
||||
RAJA_LIB = $(XLINKER)-rpath,$(RAJA_DIR)/lib -L$(RAJA_DIR)/lib -lRAJA
|
||||
|
||||
# If YES, enable some informational messages
|
||||
VERBOSE = NO
|
||||
|
||||
|
||||
+8
-36
@@ -18,8 +18,6 @@ run_prefix=""
|
||||
run_vg="valgrind --leak-check=full --show-reachable=yes --track-origins=yes"
|
||||
run_suffix="-no-vis"
|
||||
skip_gen_meshes="yes"
|
||||
# filter-out device runs ("no") or non-device runs ("yes"):
|
||||
device_runs="no"
|
||||
cur_dir="${PWD}"
|
||||
mfem_dir="$(cd "$(dirname "$0")"/.. && pwd)"
|
||||
mfem_build_dir=""
|
||||
@@ -32,7 +30,7 @@ groups_serial=(
|
||||
'"examples"
|
||||
"Examples:"
|
||||
"examples"
|
||||
"ex{,1,2}[0-9].cpp"'
|
||||
"ex{,1}[0-9].cpp"'
|
||||
# "ex1.cpp"'
|
||||
'"sundials"
|
||||
"SUNDIALS examples:"
|
||||
@@ -46,15 +44,14 @@ groups_serial=(
|
||||
'"meshing"
|
||||
"Meshing miniapps:"
|
||||
"miniapps/meshing"
|
||||
"mobius-strip.cpp klein-bottle.cpp extruder.cpp toroid.cpp
|
||||
mesh-optimizer.cpp"'
|
||||
"mobius-strip.cpp klein-bottle.cpp mesh-optimizer.cpp"'
|
||||
)
|
||||
# Parallel groups
|
||||
groups_parallel=(
|
||||
'"examples"
|
||||
"Examples:"
|
||||
"examples"
|
||||
"ex{,1,2}[0-9]p.cpp"'
|
||||
"ex{,1}[0-9]p.cpp"'
|
||||
# "ex1p.cpp"'
|
||||
'"sundials"
|
||||
"SUNDIALS examples:"
|
||||
@@ -84,7 +81,7 @@ groups_all=(
|
||||
'"examples"
|
||||
"Examples:"
|
||||
"examples"
|
||||
"ex\"{,1,2}[0-9]\"{,p}.cpp"'
|
||||
"ex\"{,1}[0-9]\"{,p}.cpp"'
|
||||
'"sundials"
|
||||
"SUNDIALS examples:"
|
||||
"examples/sundials"
|
||||
@@ -100,8 +97,7 @@ groups_all=(
|
||||
'"meshing"
|
||||
"Meshing miniapps:"
|
||||
"miniapps/meshing"
|
||||
"mobius-strip.cpp klein-bottle.cpp extruder.cpp toroid.cpp
|
||||
{,p}mesh-optimizer.cpp"'
|
||||
"mobius-strip.cpp klein-bottle.cpp {,p}mesh-optimizer.cpp"'
|
||||
'"electromagnetics"
|
||||
"Electromagnetics miniapps:"
|
||||
"miniapps/electromagnetics"
|
||||
@@ -150,11 +146,6 @@ function extract_sample_runs()
|
||||
if [ "$skip_gen_meshes" == "yes" ]; then
|
||||
runs=`printf "%s" "$runs" | grep -v ".* -m .*\.gen"`
|
||||
fi
|
||||
if [ "$device_runs" == "yes" ]; then
|
||||
runs=`printf "%s" "$runs" | grep ".* -d .*"`
|
||||
else
|
||||
runs=`printf "%s" "$runs" | grep -v ".* -d .*"`
|
||||
fi
|
||||
IFS=$'\n'
|
||||
runs=(${runs})
|
||||
IFS="${old_IFS}"
|
||||
@@ -176,15 +167,9 @@ function help_message()
|
||||
-g <dir> <pattern>
|
||||
Specify explicitly a group (dir + file pattern) to run; This
|
||||
option can be used multiple times to define multiple groups
|
||||
-dev configure only sample runs using devices.
|
||||
To test with a parallel build, the parallel (-p|-par) option
|
||||
should be set first on the command line.
|
||||
-v Enable valgrind
|
||||
-o <dir> [${output_dir:-"<empty>: output goes to stdout"}]
|
||||
If not empty, save output to files inside <dir>
|
||||
-d <dir> [${mfem_build_dir}]
|
||||
If <dir> is different from <mfem_dir> then use an
|
||||
out-of-source build in <dir>
|
||||
-j <np> [${make_j}] Specify the number of jobs to use for building
|
||||
-c|-color Always use colors for the status messages: OK, FAILED, etc
|
||||
-b|-built Do NOT rebuild the library and the executables
|
||||
@@ -211,8 +196,8 @@ function help_message()
|
||||
Their values can also set using the respective uppercase environment
|
||||
variable
|
||||
mfem_build_dir [${mfem_build_dir}]
|
||||
Same as '-d': set this variable to something different from <mfem_dir>
|
||||
to use an out-of-source build
|
||||
Set this variable to something different from <mfem_dir> to use an
|
||||
out-of-source build
|
||||
|
||||
For other valid variables, see the script source.
|
||||
|
||||
@@ -263,7 +248,7 @@ case "$1" in
|
||||
-h|-help)
|
||||
opt_help="yes"
|
||||
;;
|
||||
-p|-par)
|
||||
-p|-parallel)
|
||||
mfem_config="MFEM_USE_MPI=YES MFEM_DEBUG=NO"
|
||||
;;
|
||||
-g)
|
||||
@@ -274,11 +259,6 @@ case "$1" in
|
||||
groups=("${groups[@]}" "${test_group}")
|
||||
shift 2
|
||||
;;
|
||||
-dev)
|
||||
device_runs="yes"
|
||||
mfem_config+=" MFEM_USE_CUDA=YES MFEM_USE_MM=YES \
|
||||
MFEM_USE_OCCA=YES MFEM_USE_RAJA=YES MFEM_USE_OPENMP=YES"
|
||||
;;
|
||||
-v)
|
||||
valgrind="yes"
|
||||
;;
|
||||
@@ -286,10 +266,6 @@ MFEM_USE_OCCA=YES MFEM_USE_RAJA=YES MFEM_USE_OPENMP=YES"
|
||||
shift
|
||||
output_dir="$1"
|
||||
;;
|
||||
-d)
|
||||
shift
|
||||
mfem_build_dir="$1"
|
||||
;;
|
||||
-j)
|
||||
shift
|
||||
make_j="-j $1"
|
||||
@@ -309,10 +285,6 @@ MFEM_USE_OCCA=YES MFEM_USE_RAJA=YES MFEM_USE_OPENMP=YES"
|
||||
-n)
|
||||
run_prefix="echo"
|
||||
;;
|
||||
-*)
|
||||
echo "unknown option: '$1'"
|
||||
exit 1
|
||||
;;
|
||||
*=*)
|
||||
eval $1
|
||||
;;
|
||||
|
||||
+2
-3
@@ -38,7 +38,7 @@ export TIME='%es %MkB %x'; \
|
||||
set -- $$($(1) $(SHELL) -c "$(2)" 2>&1); while [ "$$#" -gt 3 ]; do shift; done
|
||||
endef
|
||||
define TIMECMD.NOTGNU
|
||||
set -- $$($(1) -l $(SHELL) -c "{ $(2); } > /dev/null 2>&1" 2>&1; echo $$?); \
|
||||
set -- $$($(1) -l $(SHELL) -c "$(2)" 2>&1; echo $$?); \
|
||||
set -- "$$1"s "$$(($$7/1024))"kB "$${60}"
|
||||
endef
|
||||
define TIMECMD.BASH
|
||||
@@ -60,8 +60,7 @@ endif
|
||||
# Test runs of the examples/miniapps with parameters - check exit code
|
||||
mfem-test = \
|
||||
printf " $(3) [$(2) $(1) ... ]: "; \
|
||||
$(call $(TIMEFUN),$(TIMECMD),$(2) ./$(1) $(if $(5),,-no-vis )$(4) \
|
||||
> $(1).stderr 2>&1); \
|
||||
$(call $(TIMEFUN),$(TIMECMD),$(2) ./$(1) -no-vis $(4) > $(1).stderr 2>&1); \
|
||||
if [ "$$3" = 0 ]; \
|
||||
then $(PRINT_OK); else $(PRINT_FAILED); cat $(1).stderr; fi; \
|
||||
rm -f $(1).stderr; exit $$3
|
||||
|
||||
@@ -1,87 +0,0 @@
|
||||
MFEM mesh v1.0
|
||||
|
||||
#
|
||||
# MFEM Geometry Types (see mesh/geom.hpp):
|
||||
#
|
||||
# POINT = 0
|
||||
# SEGMENT = 1
|
||||
# TRIANGLE = 2
|
||||
# SQUARE = 3
|
||||
# TETRAHEDRON = 4
|
||||
# CUBE = 5
|
||||
# PRISM = 6
|
||||
#
|
||||
|
||||
dimension
|
||||
3
|
||||
|
||||
elements
|
||||
8
|
||||
1 6 0 9 18 1 10 19
|
||||
1 6 1 10 19 2 11 20
|
||||
1 6 2 11 20 3 12 21
|
||||
1 6 3 12 21 4 13 22
|
||||
2 6 4 13 22 5 14 23
|
||||
2 6 5 14 23 6 15 24
|
||||
2 6 6 15 24 7 16 25
|
||||
2 6 7 16 25 8 17 26
|
||||
|
||||
boundary
|
||||
26
|
||||
1 2 0 18 9
|
||||
2 2 8 17 26
|
||||
3 3 0 9 10 1
|
||||
3 3 1 10 11 2
|
||||
3 3 2 11 12 3
|
||||
3 3 3 12 13 4
|
||||
3 3 4 13 14 5
|
||||
3 3 5 14 15 6
|
||||
3 3 6 15 16 7
|
||||
3 3 7 16 17 8
|
||||
3 3 18 0 1 19
|
||||
3 3 19 1 2 20
|
||||
3 3 20 2 3 21
|
||||
3 3 21 3 4 22
|
||||
3 3 22 4 5 23
|
||||
3 3 23 5 6 24
|
||||
3 3 24 6 7 25
|
||||
3 3 25 7 8 26
|
||||
3 3 9 18 19 10
|
||||
3 3 10 19 20 11
|
||||
3 3 11 20 21 12
|
||||
3 3 12 21 22 13
|
||||
3 3 13 22 23 14
|
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|
||||
3.9788735773 -9.7454295813e-16
|
||||
2.98415518297 -7.30907218597e-16
|
||||
1.97241688113 -0.259673608685
|
||||
3.84329674785 1.02980825986
|
||||
2.88247256089 0.772356194895
|
||||
1.97241688113 0.259673608685
|
||||
@@ -0,0 +1,74 @@
|
||||
MFEM mesh v1.0
|
||||
|
||||
dimension
|
||||
2
|
||||
|
||||
elements
|
||||
20
|
||||
2 3 0 1 2 3
|
||||
2 3 1 5 6 2
|
||||
2 3 5 8 9 6
|
||||
2 3 8 11 12 9
|
||||
2 3 11 14 15 12
|
||||
2 3 14 17 18 15
|
||||
2 3 17 20 21 18
|
||||
1 2 2 3 4
|
||||
1 2 6 2 7
|
||||
1 2 9 6 10
|
||||
1 2 12 9 13
|
||||
1 2 15 12 16
|
||||
1 2 18 15 19
|
||||
1 2 21 18 22
|
||||
1 2 2 4 7
|
||||
1 2 6 7 10
|
||||
1 2 9 10 13
|
||||
1 2 12 13 16
|
||||
1 2 15 16 19
|
||||
1 2 18 19 22
|
||||
|
||||
boundary
|
||||
17
|
||||
1 1 0 1
|
||||
1 1 1 5
|
||||
1 1 5 8
|
||||
1 1 8 11
|
||||
1 1 11 14
|
||||
1 1 14 17
|
||||
1 1 17 20
|
||||
1 1 20 21
|
||||
1 1 21 22
|
||||
1 1 22 19
|
||||
1 1 19 16
|
||||
1 1 16 13
|
||||
1 1 13 10
|
||||
1 1 10 7
|
||||
1 1 7 4
|
||||
1 1 4 3
|
||||
1 1 3 0
|
||||
|
||||
vertices
|
||||
23
|
||||
2
|
||||
1.11408460164 0.0
|
||||
0.557042300822 0.964825566988
|
||||
0.417781725616 0.723619175241
|
||||
0.835563451232 0.0
|
||||
0.482412783494 0.278521150411
|
||||
-0.557042300822 0.964825566988
|
||||
-0.417781725616 0.723619175241
|
||||
3.41090035345e-17 0.557042300822
|
||||
-1.11408460164 1.36436014138e-16
|
||||
-0.835563451232 1.02327010604e-16
|
||||
-0.482412783494 0.278521150411
|
||||
-0.557042300822 -0.964825566988
|
||||
-0.417781725616 -0.723619175241
|
||||
-0.482412783494 -0.278521150411
|
||||
0.557042300822 -0.964825566988
|
||||
0.417781725616 -0.723619175241
|
||||
-1.02327010604e-16 -0.557042300822
|
||||
1.11408460164 -2.72872028276e-16
|
||||
0.835563451232 -2.04654021207e-16
|
||||
0.482412783494 -0.278521150411
|
||||
0.557042300822 0.964825566988
|
||||
0.417781725616 0.723619175241
|
||||
0.482412783494 0.278521150411
|
||||
@@ -0,0 +1,924 @@
|
||||
#Title:circInSquare.py
|
||||
#Author:T. M. McManus
|
||||
#Date:10-7-18
|
||||
#Purpose: Fill a circular sector with triangles and a bounding region,
|
||||
#defined by 3 nodes, with quads. Then reflect/preserve QuadI twice to
|
||||
#create a complete disc bounded in a square.
|
||||
|
||||
import scipy as sp
|
||||
import argparse
|
||||
import sys
|
||||
import subprocess
|
||||
import time
|
||||
|
||||
parser=argparse.ArgumentParser(description='Fill a circular sector with triangles and a bounding region,\
|
||||
defined by 3 nodes, with quads. Then reflect/preserve QuadI twice to create a complete disc bounded in a square.'
|
||||
,epilog='Sample run: python circInSquare.py -r 1 -e 2 -n 8 -g ../../../glvis/glvis')
|
||||
|
||||
parser.add_argument('-r','--circRad', nargs='?',const=1, default = 1.0, type=float, help='Radius of circle')
|
||||
parser.add_argument('-e','--edgeLength', nargs='?',const=1,default=2.0,type=float,help='Edge-length of bounding square')
|
||||
parser.add_argument('-n','--numEdges',nargs='?',const=1,default=6,type=int,help='n-gon approximation of internal circle')
|
||||
parser.add_argument('-o','--outputFile',nargs='?',const=1,default='circInSquare', help='Output file name.')
|
||||
parser.add_argument('-g','--glvis',nargs='?',const=1,default='',type=str,help='Abs. or rel. path of glvis binary.')
|
||||
args=parser.parse_args()
|
||||
|
||||
r=args.circRad
|
||||
edgeLength=args.edgeLength
|
||||
numEdges=args.numEdges
|
||||
outputName=args.outputFile
|
||||
glvis=args.glvis
|
||||
|
||||
visMesh=False;
|
||||
|
||||
if glvis!='':
|
||||
visMesh=True
|
||||
|
||||
if r >= edgeLength:
|
||||
print("Circle radius must be less than bounding square edge length")
|
||||
sys.exit(1)
|
||||
|
||||
if sp.mod(numEdges,2) != 0:
|
||||
print("Currently this mixed element generator only supports an even numbers of edges.")
|
||||
sys.exit(1)
|
||||
|
||||
|
||||
#The basic idea:
|
||||
#1. Construct topology for regions
|
||||
#2. Combine topologies
|
||||
#3. Construct boundary
|
||||
#4. Construct geometry for regions
|
||||
#5. Combine geometries
|
||||
#6. Output
|
||||
|
||||
def eleMatCirc(numEdges):
|
||||
|
||||
nNodesSeq=sp.zeros([numEdges])
|
||||
nNodesSeq[0]=3
|
||||
if numEdges != 1:
|
||||
for n in range(1,numEdges):
|
||||
nNodesSeq[n]=nNodesSeq[n-1]+(2+n)
|
||||
|
||||
numCircNodesTot =int(((numEdges+1)*(numEdges+2))/2)
|
||||
|
||||
b=range(numCircNodesTot)
|
||||
row_size=1
|
||||
A=sp.zeros([numEdges+1,numEdges+1])
|
||||
start=0;stop=1;
|
||||
for m in range(numEdges+1):
|
||||
if m==0:
|
||||
A[m,range(m+1)]=b[0:1]
|
||||
start=0
|
||||
stop=1
|
||||
else:
|
||||
start=stop
|
||||
stop=stop+m+1
|
||||
A[m,range(m+1)]=b[start:stop]
|
||||
|
||||
M=sp.ones([numEdges**2,5])
|
||||
m_row=0
|
||||
for m in range(numEdges):
|
||||
if m==0:
|
||||
M[0,:]=[1,2,0,1,2]
|
||||
m_row+=1
|
||||
else:
|
||||
holder=sp.size(sp.nonzero(A[m,:]))
|
||||
for n in range(holder):
|
||||
if n!=holder-1:
|
||||
M[m_row,:]=[1,2,A[m,n],A[m,n+1],A[m+1,n+1]]
|
||||
m_row+=1
|
||||
M[m_row,:]=[1,2,A[m,n],A[m+1,n],A[m+1,n+1]]
|
||||
m_row+=1
|
||||
else:
|
||||
M[m_row,:]=[1,2,A[m,n],A[m+1,n],A[m+1,n+1]]
|
||||
m_row+=1
|
||||
|
||||
return M.astype(int),numCircNodesTot
|
||||
|
||||
def eleMatQuad(numEdges):
|
||||
S0=numEdges*(numEdges+1)/(2.0)
|
||||
A=sp.linspace(S0,(S0+(numEdges+1)**2)-1,(numEdges+1)**2)
|
||||
A=A.reshape([numEdges+1,numEdges+1])
|
||||
quadNode=sp.delete(A,-1,1)
|
||||
quadNode=sp.delete(quadNode,-1,0)
|
||||
quadNode=quadNode.flatten()
|
||||
M=sp.zeros([numEdges**2,6])
|
||||
for n in range(numEdges**2):
|
||||
M[n,:]=[2,3,quadNode[n],quadNode[n]+1,quadNode[n]+numEdges+2,quadNode[n]+numEdges+1]
|
||||
return M.astype(int)
|
||||
|
||||
def boundMatTot(numEdges):
|
||||
triS1=sp.zeros(numEdges+1)
|
||||
triS3=sp.zeros(numEdges+1)
|
||||
quadS1=sp.zeros(numEdges)
|
||||
quadS2=sp.zeros(numEdges-1)
|
||||
quadS3=sp.zeros(numEdges)
|
||||
|
||||
triS1[0]=0;
|
||||
triS3[0]=0;
|
||||
for n in range(1,numEdges+1):
|
||||
triS1[n]=triS1[n-1]+n
|
||||
triS3[n]=triS1[n]+n
|
||||
ref1=triS3
|
||||
|
||||
triS3=sp.flipud(triS3)
|
||||
quadS1[0]=triS1[-1]+numEdges+1
|
||||
quadS3[0]=triS1[-1]+2*numEdges+1
|
||||
|
||||
for n in range(1,numEdges):
|
||||
quadS1[n]=quadS1[n-1]+(numEdges+1)
|
||||
quadS3[n]=quadS3[n-1]+(numEdges+1)
|
||||
ref2=quadS3
|
||||
xAxisRootRef=sp.concatenate([triS1.copy(),quadS1],axis=0)
|
||||
quadS3=sp.flipud(quadS3)
|
||||
quadS2=range(int(quadS1[-1]+1),int(quadS3[0]),1)
|
||||
STOT=sp.concatenate([triS1,quadS1,quadS2,quadS3,triS3],axis=0)
|
||||
|
||||
filler=sp.zeros(1)
|
||||
filler[0]=quadS3[0]
|
||||
fillerFirst=sp.zeros(1)
|
||||
fillerFirst[0]=quadS1[-1]
|
||||
sTotRef=sp.concatenate([triS1,quadS1,quadS2,filler],axis=0)
|
||||
newsTotRef=sp.concatenate([fillerFirst,quadS2,filler],axis=0)
|
||||
boundMat=sp.zeros([STOT.size-1,4])
|
||||
boundMatRef=sp.zeros([sTotRef.size-1,4])
|
||||
new_boundMat_ref=sp.zeros([newsTotRef.size-1,4])
|
||||
|
||||
for n in range(STOT.size-1):
|
||||
boundMat[n,:]=[1,1,STOT[n],STOT[n+1]]
|
||||
for n in range(sTotRef.size-1):
|
||||
boundMatRef[n,:]=[1,1,sTotRef[n],sTotRef[n+1]]
|
||||
for n in range(newsTotRef.size-1):
|
||||
new_boundMat_ref[n,:]=[1,1,newsTotRef[n],newsTotRef[n+1]]
|
||||
|
||||
ref=sp.concatenate([ref1,ref2],axis=0).astype(int)
|
||||
return boundMat.astype(int),ref,boundMatRef.astype(int),xAxisRootRef.astype(int),new_boundMat_ref.astype(int)
|
||||
|
||||
def vertMatCirc(numEdges):
|
||||
r_o=sp.linspace(0,r,numEdges+1)
|
||||
counter=0
|
||||
vertMat=sp.zeros([numCircNodesTot,2])
|
||||
for m in range(numEdges+1):
|
||||
theta=sp.linspace(0,sp.pi/2.0,m+1)
|
||||
for n in range(sp.size(theta)):
|
||||
vertMat[counter,:]=[r_o[m]*sp.cos(theta[n]),r_o[m]*sp.sin(theta[n])]
|
||||
counter+=1
|
||||
return vertMat
|
||||
|
||||
def vertMatQuad(numEdges):
|
||||
|
||||
theta=sp.linspace(0,sp.pi/2.0,numEdges+1)
|
||||
AX=sp.zeros([numEdges+1,numEdges+1])
|
||||
AY=sp.zeros([numEdges+1,numEdges+1])
|
||||
AX[0,:]=r*sp.cos(theta)
|
||||
AY[0,:]=r*sp.sin(theta)
|
||||
|
||||
vertLinSpace=sp.linspace(0,edgeLength,(numEdges/2)+1)
|
||||
horzLineSpace=sp.linspace(edgeLength,0,(numEdges/2)+1)
|
||||
|
||||
#Assigning node locations along the boundary
|
||||
vertCount=0
|
||||
horzCount=1
|
||||
for n in range(numEdges+1):
|
||||
if n < (numEdges/2):
|
||||
AX[-1,n]=edgeLength
|
||||
AY[-1,n]=vertLinSpace[vertCount]
|
||||
vertCount+=1
|
||||
elif n == int(numEdges/2):
|
||||
AX[-1,n]=edgeLength
|
||||
AY[-1,n]=edgeLength
|
||||
else:
|
||||
AX[-1,n]=horzLineSpace[horzCount]
|
||||
AY[-1,n]=edgeLength
|
||||
horzCount+=1
|
||||
|
||||
#Linearly spacing nodes between the inner/outer boundaries
|
||||
#One could then smooth this via r-based adaptivity
|
||||
for col in range(numEdges+1):
|
||||
for row in range(1,numEdges):
|
||||
AX[row,col]=sp.linspace(AX[0,col],AX[-1,col],numEdges+1)[row]
|
||||
AY[row,col]=sp.linspace(AY[0,col],AY[-1,col],numEdges+1)[row]
|
||||
|
||||
AX=sp.delete(AX,0,0)
|
||||
AY=sp.delete(AY,0,0)
|
||||
AX=AX.flatten()
|
||||
AY=AY.flatten()
|
||||
AX_reshape = AX.flatten()
|
||||
|
||||
numQuadNodesTot=numEdges*(numEdges+1)
|
||||
vertMat=sp.zeros([numQuadNodesTot,2])
|
||||
for n in range(numQuadNodesTot):
|
||||
vertMat[n,:]=[AX[n],AY[n]]
|
||||
return vertMat
|
||||
|
||||
def orient(A):
|
||||
aOrient=sp.zeros([A.shape[0],A.shape[1]])
|
||||
triCounter=0
|
||||
quadCounter=0
|
||||
#Determine the number of triangle and quad elments in the given element matrix
|
||||
for n in range(A.shape[0]):
|
||||
if A[n,1]==2:
|
||||
triCounter+=1
|
||||
else:
|
||||
quadCounter+=1
|
||||
edgeMatTotal=sp.zeros([3*triCounter+4*quadCounter,2])
|
||||
counter=0
|
||||
for n in range(A.shape[0]):
|
||||
detected=0
|
||||
if A[n,1]==2:
|
||||
for m in range(edgeMatTotal.shape[0]):
|
||||
if detected != 1:
|
||||
if edgeMatTotal[m,0]==A[n,2] and edgeMatTotal[m,1]==A[n,3]:
|
||||
aOrient[n,:]=[1,2,A[n,2],A[n,4],A[n,3],0]
|
||||
detected=1
|
||||
#print("reorder:[{} {} {}] to [{} {} {}]".format(A[n,2],A[n,3],A[n,4],int(aOrient[n,2]),int(aOrient[n,3]),int(aOrient[n,4])))
|
||||
elif edgeMatTotal[m,0]==A[n,4] and edgeMatTotal[m,1]==A[n,2]:
|
||||
aOrient[n,:]=[1,2,A[n,2],A[n,4],A[n,3],0]
|
||||
detected=1
|
||||
else:
|
||||
aOrient[n,:]=A[n,:]
|
||||
|
||||
edgeMatTotal[counter,:]=[aOrient[n,2],aOrient[n,3]]
|
||||
counter+=1
|
||||
edgeMatTotal[counter,:]=[aOrient[n,3],aOrient[n,4]]
|
||||
counter+=1
|
||||
edgeMatTotal[counter,:]=[aOrient[n,4],aOrient[n,2]]
|
||||
counter+=1
|
||||
else:
|
||||
for m in range(edgeMatTotal.shape[0]):
|
||||
if detected != 1:
|
||||
if edgeMatTotal[m,0]==A[n,2] and edgeMatTotal[m,1]==A[n,3]:
|
||||
aOrient[n,:]=[2,3,A[n,2],A[n,5],A[n,4],A[n,3]]
|
||||
detected=1
|
||||
#print("reorder:[{} {} {} {}] to [{} {} {} {}]".format(A[n,2],A[n,3],A[n,4],A[n,5],int(aOrient[n,2]),int(aOrient[n,3]),int(aOrient[n,4]),int(aOrient[n,5])))
|
||||
elif edgeMatTotal[m,0]==A[n,5] and edgeMatTotal[m,1]==A[n,2]:
|
||||
aOrient[n,:]=[2,3,A[n,2],A[n,5],A[n,4],A[n,3]]
|
||||
detected=1
|
||||
else:
|
||||
aOrient[n,:]=A[n,:]
|
||||
edgeMatTotal[counter,:]=[aOrient[n,2],aOrient[n,3]]
|
||||
counter+=1
|
||||
edgeMatTotal[counter,:]=[aOrient[n,3],aOrient[n,4]]
|
||||
counter+=1
|
||||
edgeMatTotal[counter,:]=[aOrient[n,4],aOrient[n,5]]
|
||||
counter+=1
|
||||
edgeMatTotal[counter,:]=[aOrient[n,5],aOrient[n,2]]
|
||||
counter+=1
|
||||
return aOrient.astype(int)
|
||||
|
||||
def gVis(_glvis,_meshFile):
|
||||
|
||||
if(_glvis==''):
|
||||
print("Failure: Set glvis location via -g switch")
|
||||
sys.exit(1)
|
||||
|
||||
colFuncFileName=_meshFile.replace('.mesh','.gf')
|
||||
glvsScriptFileName=_meshFile.replace('.mesh','.glvs')
|
||||
imageFileName=_meshFile.replace('.mesh','.png')
|
||||
|
||||
#Create Coloring Function for mesh
|
||||
_colFuncCommand=_glvis+ ' -m '+ _meshFile +' -sc -k q'
|
||||
args=_colFuncCommand.split()
|
||||
p=subprocess.Popen(args)#Create 'GLVis_coloring.gf'
|
||||
|
||||
_renameCommand='mv GLVis_coloring.gf {}'.format(colFuncFileName)
|
||||
args=_renameCommand.split()
|
||||
p=subprocess.Popen(args)
|
||||
|
||||
#Glvis script template
|
||||
f=open(glvsScriptFileName,'w')
|
||||
f.write('window 0 0 800 800\n'+'\n')
|
||||
f.write('solution {} {}\n'.format(_meshFile,colFuncFileName)+'\n')
|
||||
f.write('{\n'+'perspective off\n'+'zoom 1.5\n'+'keys gAeeRM\n'+'solution {} {} screenshot {}\n'.format(_meshFile,colFuncFileName,imageFileName)+'keys q\n'+'}\n')
|
||||
f.close()
|
||||
|
||||
_runGlvisCommand=_glvis+' -run {}'.format(glvsScriptFileName)
|
||||
args=_runGlvisCommand.split()
|
||||
p=subprocess.Popen(args)
|
||||
p.wait()
|
||||
|
||||
return 0
|
||||
def quadInterDof(_edge,_linEleMat,_linVertMatRound):
|
||||
_state=False
|
||||
for n in range(_linEleMat.shape[0]):
|
||||
if _linEleMat[n,1]==3:
|
||||
if sp.any(_edge[0]==_linEleMat[n,2:6]) and sp.any(_edge[1]==_linEleMat[n,2:6]):
|
||||
print("{} is possibly in {}".format(_edge,_linEleMat[n,2:6]))
|
||||
_n1Loc=sp.where(_edge[0]==_linEleMat[n,2:6])[0][0]
|
||||
_n2Loc=sp.where(_edge[1]==_linEleMat[n,2:6])[0][0]
|
||||
if _n1Loc==sp.mod(_n2Loc+1,4) or _n1Loc==sp.mod(_n2Loc-1,4):
|
||||
_state=True
|
||||
xcent=(_linVertMatRound[_linEleMat[n,2],0]+_linVertMatRound[_linEleMat[n,3],0]+_linVertMatRound[_linEleMat[n,4],0]+_linVertMatRound[_linEleMat[n,5],0])/4.0
|
||||
ycent=(_linVertMatRound[_linEleMat[n,2],1]+_linVertMatRound[_linEleMat[n,3],1]+_linVertMatRound[_linEleMat[n,4],1]+_linVertMatRound[_linEleMat[n,5],1])/4.0
|
||||
_interDof=sp.zeros(2)
|
||||
_interDof[0]=sp.round_((_linVertMatRound[_edge[0],0]+_linVertMatRound[_edge[1],0]+xcent)/3.0,5)
|
||||
_interDof[1]=sp.round_((_linVertMatRound[_edge[0],1]+_linVertMatRound[_edge[1],1]+ycent)/3.0,5)
|
||||
print("dof loc is {},{}".format(_interDof[0],_interDof[1]))
|
||||
return(_state,_interDof[0],_interDof[1])
|
||||
|
||||
return(_state,0,0)
|
||||
|
||||
[eleMatTriHolder,numCircNodesTot]=eleMatCirc(numEdges) #Construct tri element matrix for the region inside circular sector
|
||||
eleMatQuadHolder=eleMatQuad(numEdges) #Construct quad element matrix for region outside the circular sector
|
||||
|
||||
#Combining eleMatTriHolder and eleMatQuadHolder
|
||||
linEleMat=sp.zeros([eleMatTriHolder.shape[0]+eleMatQuadHolder.shape[0],6])
|
||||
counter=0
|
||||
for n in range(eleMatTriHolder.shape[0]):
|
||||
linEleMat[n,[0,1,2,3,4]]=eleMatTriHolder[n,:]
|
||||
counter+=1
|
||||
for n in range(eleMatQuadHolder.shape[0]):
|
||||
linEleMat[counter+n,:]=eleMatQuadHolder[n,:]
|
||||
|
||||
linEleMat=linEleMat.astype(int)
|
||||
linBoundMat=boundMatTot(numEdges)[0] #Construct the boundary
|
||||
vertMatCircHolder = vertMatCirc(numEdges) #Construct vertex matrix for triang region
|
||||
vertMatQuadHolder = vertMatQuad(numEdges) #Construct vertex matrix for the quad region
|
||||
|
||||
|
||||
#Combining the two vertex matrices in Quadrant I (q1)
|
||||
linVertMat=sp.zeros([vertMatCircHolder.shape[0]+vertMatQuadHolder.shape[0],2])
|
||||
counter=0
|
||||
for n in range(vertMatCircHolder.shape[0]):
|
||||
linVertMat[n,:]=vertMatCircHolder[n,:]
|
||||
counter+=1
|
||||
for n in range(vertMatQuadHolder.shape[0]):
|
||||
linVertMat[counter+n,:]=vertMatQuadHolder[n,:]
|
||||
|
||||
#Outputting P1/Q1 mesh to a .mesh file
|
||||
g=open(outputName+'Lin.mesh','w')
|
||||
g.write('MFEM mesh v1.0\n'+'\n')
|
||||
g.write('dimension\n'+'2\n'+'\n')
|
||||
g.write('elements\n'+'{}\n'.format(linEleMat.shape[0]))
|
||||
for n in range(linEleMat.shape[0]):
|
||||
if linEleMat[n,1]==2:
|
||||
g.write('{} {} {} {} {}\n'.format(linEleMat[n,0],linEleMat[n,1],linEleMat[n,2],linEleMat[n,3],linEleMat[n,4]))
|
||||
else:
|
||||
g.write('{} {} {} {} {} {}\n'.format(linEleMat[n,0],linEleMat[n,1],linEleMat[n,2],linEleMat[n,3],linEleMat[n,4],linEleMat[n,5]))
|
||||
g.write('\n'+'boundary\n'+'{}\n'.format(linBoundMat.shape[0]))
|
||||
for n in range(linBoundMat.shape[0]):
|
||||
g.write('{} {} {} {}\n'.format(linBoundMat[n,0],linBoundMat[n,1],linBoundMat[n,2],linBoundMat[n,3]))
|
||||
g.write('\n'+'vertices\n'+'{}\n'.format(linVertMat.shape[0])+'2\n')
|
||||
for n in range(linVertMat.shape[0]):
|
||||
g.write('{} {}\n'.format(linVertMat[n,0],linVertMat[n,1]))
|
||||
g.close()
|
||||
|
||||
if(visMesh==True):
|
||||
gVis(glvis,outputName+'Lin.mesh')
|
||||
|
||||
#Quadratic (P2/Q2) Element Generation
|
||||
|
||||
#1.)Create Edge list from previously generated linear elements
|
||||
edgeMat=sp.zeros([3*eleMatTriHolder.shape[0]+4*eleMatQuadHolder.shape[0],2])
|
||||
linEleMat=orient(linEleMat)#Make sure that element orientation is in agreement with MFEM requirements
|
||||
|
||||
counter=0
|
||||
for n in range(linEleMat.shape[0]):
|
||||
if linEleMat[n,1]==2:
|
||||
edgeMat[counter,:]=[linEleMat[n,2],linEleMat[n,3]]
|
||||
counter+=1
|
||||
edgeMat[counter,:]=[linEleMat[n,3],linEleMat[n,4]]
|
||||
counter+=1
|
||||
edgeMat[counter,:]=[linEleMat[n,4],linEleMat[n,2]]
|
||||
counter+=1
|
||||
else:
|
||||
edgeMat[counter,:]=[linEleMat[n,2],linEleMat[n,3]]
|
||||
counter+=1
|
||||
edgeMat[counter,:]=[linEleMat[n,3],linEleMat[n,4]]
|
||||
counter+=1
|
||||
edgeMat[counter,:]=[linEleMat[n,4],linEleMat[n,5]]
|
||||
counter+=1
|
||||
edgeMat[counter,:]=[linEleMat[n,5],linEleMat[n,2]]
|
||||
counter+=1
|
||||
|
||||
#Remove duplicates
|
||||
holder=[]
|
||||
for n in range(edgeMat.shape[0]):
|
||||
counter=0
|
||||
for m in range(edgeMat.shape[0]):
|
||||
if edgeMat[n,0]==edgeMat[m,0] and edgeMat[n,1]==edgeMat[m,1] and m!=n:
|
||||
holder.append([n,m])
|
||||
elif edgeMat[n,1]==edgeMat[m,0] and edgeMat[n,0]==edgeMat[m,1] and m!=n:
|
||||
holder.append([n,m])
|
||||
|
||||
removeIndices=sp.zeros(len(holder))
|
||||
for n in range(len(holder)):
|
||||
if holder[n][0]>holder[n][1]:
|
||||
removeIndices[n]=holder[n][0]
|
||||
else:
|
||||
removeIndices[n]=holder[n][1]
|
||||
removeIndices=sp.unique(removeIndices).astype(int)
|
||||
edgeMat=sp.delete(edgeMat,removeIndices,0)
|
||||
edgeMat=edgeMat.astype(int)
|
||||
|
||||
edgeDofMat=sp.zeros([edgeMat.shape[0],2])#These will be the new DoFs that appear after the Element Vertices within the .mesh file
|
||||
linVertMatRound=sp.round_(linVertMat,5)
|
||||
|
||||
counter=0
|
||||
|
||||
for n in edgeMat:
|
||||
if linVertMatRound[n[0],1] == linVertMatRound[n[1],1]:
|
||||
xmid=(linVertMatRound[n[0],0]+linVertMatRound[n[1],0])/2.0
|
||||
ymid=linVertMatRound[n[0],1]
|
||||
edgeDofMat[counter,:]=[xmid,ymid]
|
||||
elif linVertMatRound[n[0],0] == linVertMatRound[n[1],0]:
|
||||
xmid=linVertMatRound[n[0],0]
|
||||
ymid=(linVertMatRound[n[0],1]+linVertMatRound[n[1],1])/2.0
|
||||
edgeDofMat[counter,:]=[xmid,ymid]
|
||||
else:
|
||||
r0=sp.sqrt(linVertMatRound[n[0],0]**2+linVertMatRound[n[0],1]**2)
|
||||
r1=sp.sqrt(linVertMatRound[n[1],0]**2+linVertMatRound[n[1],1]**2)
|
||||
rmid = (r0+r1)/2.0 #should not be needed
|
||||
xmidOld=(linVertMatRound[n[0],0]+linVertMatRound[n[1],0])/2.0
|
||||
ymidOld=(linVertMatRound[n[0],1]+linVertMatRound[n[1],1])/2.0
|
||||
midtheta=sp.arctan(ymidOld/xmidOld)
|
||||
xmid=rmid*sp.cos(midtheta)
|
||||
ymid=rmid*sp.sin(midtheta)
|
||||
edgeDofMat[counter,:]=[xmid,ymid]
|
||||
counter+=1
|
||||
edgeDofMat = sp.round_(edgeDofMat,5)
|
||||
|
||||
#Determine midpoints of all Q1 elements:
|
||||
quadCentroidLoc=sp.zeros([eleMatQuadHolder.shape[0],2])
|
||||
for n in range(eleMatQuadHolder.shape[0]):
|
||||
quadCentroidLoc[n,0]=(linVertMatRound[eleMatQuadHolder[n,2],0]+linVertMatRound[eleMatQuadHolder[n,3],0]+linVertMatRound[eleMatQuadHolder[n,4],0]+linVertMatRound[eleMatQuadHolder[n,5],0])/4.0
|
||||
quadCentroidLoc[n,1]=(linVertMatRound[eleMatQuadHolder[n,2],1]+linVertMatRound[eleMatQuadHolder[n,3],1]+linVertMatRound[eleMatQuadHolder[n,4],1]+linVertMatRound[eleMatQuadHolder[n,5],1])/4.0
|
||||
|
||||
quadCentroidLoc = sp.round_(quadCentroidLoc,5)
|
||||
|
||||
#3.)Populate nodes section
|
||||
g=open(outputName+'Quad.mesh','w')
|
||||
g.write('MFEM mesh v1.0\n'+'\n')
|
||||
g.write('dimension\n'+'2\n'+'\n')
|
||||
g.write('elements\n'+'{}\n'.format(linEleMat.shape[0]))
|
||||
for n in range(linEleMat.shape[0]):
|
||||
if linEleMat[n,1]==2:
|
||||
g.write('{} {} {} {} {}\n'.format(linEleMat[n,0],linEleMat[n,1],linEleMat[n,2],linEleMat[n,3],linEleMat[n,4]))
|
||||
else:
|
||||
g.write('{} {} {} {} {} {}\n'.format(linEleMat[n,0],linEleMat[n,1],linEleMat[n,2],linEleMat[n,3],linEleMat[n,4],linEleMat[n,5]))
|
||||
g.write('\n'+'boundary\n'+'{}\n'.format(linBoundMat.shape[0]))
|
||||
for n in range(linBoundMat.shape[0]):
|
||||
g.write('{} {} {} {}\n'.format(linBoundMat[n,0],linBoundMat[n,1],linBoundMat[n,2],linBoundMat[n,3]))
|
||||
g.write('\n'+'vertices\n'+'{}\n'.format(linVertMat.shape[0]))
|
||||
g.write('\n'+'nodes'+'\n'+'FiniteElementSpace'+'\n'+'FiniteElementCollection: H1_2D_P2'+'\n'+'VDim: 2'+'\n'+'Ordering: 1' +'\n\n')
|
||||
for n in range(linVertMatRound.shape[0]):
|
||||
g.write('{} {}\n'.format(linVertMatRound[n,0],linVertMatRound[n,1]))
|
||||
for n in range(edgeDofMat.shape[0]):
|
||||
g.write('{} {}\n'.format(edgeDofMat[n,0],edgeDofMat[n,1]))
|
||||
for n in range(quadCentroidLoc.shape[0]):
|
||||
g.write('{} {}\n'.format(quadCentroidLoc[n,0],quadCentroidLoc[n,1]))
|
||||
g.close()
|
||||
|
||||
if(visMesh==True):
|
||||
gVis(glvis,outputName+'Quad.mesh')
|
||||
|
||||
#Cubic (P3/Q3) Element Generation
|
||||
|
||||
cubeDofMat=sp.zeros([2*edgeMat.shape[0],2])#These will be the new DoFs that appear after the Element Vertices within the .mesh file
|
||||
|
||||
counter=0
|
||||
for n in edgeMat: #Here DoF ordering matters.
|
||||
if linVertMatRound[n[0],1] == linVertMatRound[n[1],1]:
|
||||
xmid=(linVertMatRound[n[0],0]+linVertMatRound[n[1],0])/2.0
|
||||
ymid=linVertMatRound[n[0],1]
|
||||
xmid1=(linVertMatRound[n[0],0]+xmid)/2.0
|
||||
ymid1=linVertMatRound[n[0],1]
|
||||
xmid2=(linVertMatRound[n[1],0]+xmid)/2.0
|
||||
ymid2=linVertMatRound[n[0],1]
|
||||
if n[0] > n[1]:
|
||||
cubeDofMat[counter,:]=[xmid2,ymid2]
|
||||
counter+=1
|
||||
cubeDofMat[counter,:]=[xmid1,ymid1]
|
||||
counter+=1
|
||||
else:
|
||||
cubeDofMat[counter,:]=[xmid1,ymid1]
|
||||
counter+=1
|
||||
cubeDofMat[counter,:]=[xmid2,ymid2]
|
||||
counter+=1
|
||||
|
||||
elif linVertMatRound[n[0],0] == linVertMatRound[n[1],0]:
|
||||
xmid=linVertMatRound[n[0],0]
|
||||
ymid=(linVertMatRound[n[0],1]+linVertMatRound[n[1],1])/2.0
|
||||
xmid1=linVertMatRound[n[0],0]
|
||||
ymid1=(linVertMatRound[n[0],1]+ymid)/2.0
|
||||
xmid2=linVertMatRound[n[0],0]
|
||||
ymid2=(linVertMatRound[n[1],1]+ymid)/2.0
|
||||
if n[0] > n[1]:
|
||||
cubeDofMat[counter,:]=[xmid2,ymid2]
|
||||
counter+=1
|
||||
cubeDofMat[counter,:]=[xmid1,ymid1]
|
||||
counter+=1
|
||||
else:
|
||||
cubeDofMat[counter,:]=[xmid1,ymid1]
|
||||
counter+=1
|
||||
cubeDofMat[counter,:]=[xmid2,ymid2]
|
||||
counter+=1
|
||||
else:
|
||||
r0=sp.sqrt(linVertMatRound[n[0],0]**2+linVertMatRound[n[0],1]**2)
|
||||
r1=sp.sqrt(linVertMatRound[n[1],0]**2+linVertMatRound[n[1],1]**2)
|
||||
rmid = (r0+r1)/2.0 #should not be needed
|
||||
xmidOld=(linVertMatRound[n[0],0]+linVertMatRound[n[1],0])/2.0
|
||||
ymidOld=(linVertMatRound[n[0],1]+linVertMatRound[n[1],1])/2.0
|
||||
midtheta=sp.arctan(ymidOld/xmidOld)
|
||||
xmid=rmid*sp.cos(midtheta)
|
||||
ymid=rmid*sp.sin(midtheta)
|
||||
xmid1=(linVertMatRound[n[0],0]+xmid)/2.0
|
||||
ymid1=(linVertMatRound[n[0],1]+ymid)/2.0
|
||||
xmid2=(linVertMatRound[n[1],0]+xmid)/2.0
|
||||
ymid2=(linVertMatRound[n[1],1]+ymid)/2.0
|
||||
if n[0] > n[1]:
|
||||
cubeDofMat[counter,:]=[xmid2,ymid2]
|
||||
counter+=1
|
||||
cubeDofMat[counter,:]=[xmid1,ymid1]
|
||||
counter+=1
|
||||
else:
|
||||
cubeDofMat[counter,:]=[xmid1,ymid1]
|
||||
counter+=1
|
||||
cubeDofMat[counter,:]=[xmid2,ymid2]
|
||||
counter+=1
|
||||
|
||||
cubeDofMat = sp.round_(cubeDofMat,5)
|
||||
|
||||
triCentroidLoc=sp.zeros([eleMatTriHolder.shape[0],2])
|
||||
|
||||
for n in range(eleMatTriHolder.shape[0]):
|
||||
triCentroidLoc[n,0]=(linVertMatRound[eleMatTriHolder[n,2],0]+linVertMatRound[eleMatTriHolder[n,3],0]+linVertMatRound[eleMatTriHolder[n,4],0])/3.0
|
||||
triCentroidLoc[n,1]=(linVertMatRound[eleMatTriHolder[n,2],1]+linVertMatRound[eleMatTriHolder[n,3],1]+linVertMatRound[eleMatTriHolder[n,4],1])/3.0
|
||||
|
||||
quadCentroidLocCubic=sp.zeros([4*eleMatQuadHolder.shape[0],2])
|
||||
|
||||
counter=0
|
||||
for n in range(eleMatQuadHolder.shape[0]):
|
||||
xcent=quadCentroidLoc[n,0];ycent=quadCentroidLoc[n,1]
|
||||
a=eleMatQuadHolder[n,2:6]
|
||||
aMinIndex=sp.where(a[:]==a.min())[0][0]
|
||||
dof0=0.5*sp.array([xcent+linVertMatRound[a[aMinIndex],0],ycent+linVertMatRound[a[aMinIndex],1]])
|
||||
quadCentroidLocCubic[counter,:]=dof0
|
||||
counter+=1
|
||||
if aMinIndex==0:
|
||||
aLeft=-1
|
||||
aRight=1
|
||||
aLast=2
|
||||
else:
|
||||
aLeft=aMinIndex-1
|
||||
aRight=aMinIndex+1
|
||||
aLast=sp.delete(a,[aMinIndex,aLeft,aRight])[0]
|
||||
edge1=[a[aMinIndex], a[aLeft]]
|
||||
edge2=[a[aMinIndex], a[aRight]]
|
||||
edge1Index=0
|
||||
edge2Index=0
|
||||
edgeCounter=0
|
||||
for edge in edgeMat:
|
||||
if(edge[0]==edge1[0] and edge[1]==edge1[1]) or (edge[1]==edge1[0] and edge[0]==edge1[1]):
|
||||
edge1Index=edgeCounter
|
||||
if(edge[0]==edge2[0] and edge[1]==edge2[1]) or (edge[1]==edge2[0] and edge[0]==edge2[1]):
|
||||
edge2Index=edgeCounter
|
||||
edgeCounter+=1
|
||||
|
||||
if (edge1Index > edge2Index):
|
||||
dof1=0.5*sp.array([xcent+linVertMatRound[a[aLeft],0],ycent+linVertMatRound[a[aLeft],1]])
|
||||
quadCentroidLocCubic[counter,:]=dof1
|
||||
counter+=1
|
||||
dof2=0.5*sp.array([xcent+linVertMatRound[a[aRight],0],ycent+linVertMatRound[a[aRight],1]])
|
||||
quadCentroidLocCubic[counter,:]=dof2
|
||||
counter+=1
|
||||
dof3=0.5*sp.array([xcent+linVertMatRound[a[aLast],0],ycent+linVertMatRound[a[aLast],1]])
|
||||
quadCentroidLocCubic[counter,:]=dof3
|
||||
counter+=1
|
||||
else:
|
||||
dof1=0.5*sp.array([xcent+linVertMatRound[a[aRight],0],ycent+linVertMatRound[a[aRight],1]])
|
||||
quadCentroidLocCubic[counter,:]=dof1
|
||||
counter+=1
|
||||
dof2=0.5*sp.array([xcent+linVertMatRound[a[aLeft],0],ycent+linVertMatRound[a[aLeft],1]])
|
||||
quadCentroidLocCubic[counter,:]=dof2
|
||||
counter+=1
|
||||
dof3=0.5*sp.array([xcent+linVertMatRound[a[aLast],0],ycent+linVertMatRound[a[aLast],1]])
|
||||
quadCentroidLocCubic[counter,:]=dof3
|
||||
counter+=1
|
||||
|
||||
truCentroidLoc=sp.round_(triCentroidLoc,5)
|
||||
|
||||
#3.)Populate nodes section
|
||||
g=open(outputName+'Cub.mesh','w')
|
||||
g.write('MFEM mesh v1.0\n'+'\n')
|
||||
g.write('dimension\n'+'2\n'+'\n')
|
||||
g.write('elements\n'+'{}\n'.format(linEleMat.shape[0]))
|
||||
for n in range(linEleMat.shape[0]):
|
||||
if linEleMat[n,1]==2:
|
||||
g.write('{} {} {} {} {}\n'.format(linEleMat[n,0],linEleMat[n,1],linEleMat[n,2],linEleMat[n,3],linEleMat[n,4]))
|
||||
else:
|
||||
g.write('{} {} {} {} {} {}\n'.format(linEleMat[n,0],linEleMat[n,1],linEleMat[n,2],linEleMat[n,3],linEleMat[n,4],linEleMat[n,5]))
|
||||
g.write('\n'+'boundary\n'+'{}\n'.format(linBoundMat.shape[0]))
|
||||
for n in range(linBoundMat.shape[0]):
|
||||
g.write('{} {} {} {}\n'.format(linBoundMat[n,0],linBoundMat[n,1],linBoundMat[n,2],linBoundMat[n,3]))
|
||||
g.write('\n'+'vertices\n'+'{}\n'.format(linVertMat.shape[0]))
|
||||
g.write('\n'+'nodes'+'\n'+'FiniteElementSpace'+'\n'+'FiniteElementCollection: H1_2D_P3'+'\n'+'VDim: 2'+'\n'+'Ordering: 1' +'\n\n')
|
||||
for n in range(linVertMatRound.shape[0]):
|
||||
g.write('{} {}\n'.format(linVertMatRound[n,0],linVertMatRound[n,1]))
|
||||
for n in range(cubeDofMat.shape[0]):
|
||||
g.write('{} {}\n'.format(cubeDofMat[n,0],cubeDofMat[n,1]))
|
||||
for n in range(triCentroidLoc.shape[0]):
|
||||
g.write('{} {}\n'.format(triCentroidLoc[n,0],triCentroidLoc[n,1]))
|
||||
for n in range(quadCentroidLocCubic.shape[0]):
|
||||
g.write('{} {}\n'.format(quadCentroidLocCubic[n,0],quadCentroidLocCubic[n,1]))
|
||||
g.close()
|
||||
|
||||
if(visMesh==True):
|
||||
gVis(glvis,outputName+'Cub.mesh')
|
||||
#raw_input()
|
||||
#'Reflecting' topology about one of its edges and append it to itself
|
||||
upperPlaneEleMat = sp.zeros([2*linEleMat.shape[0],6])
|
||||
for n in range(linEleMat.shape[0]):
|
||||
upperPlaneEleMat[n,:]=linEleMat[n,:]
|
||||
|
||||
#Create ele_mat_holder.shape[0]x2 matrix for mapping
|
||||
refEdge=boundMatTot(numEdges)[1]
|
||||
q1NumNodes=linVertMat.shape[0]
|
||||
|
||||
mapping = sp.zeros([q1NumNodes])
|
||||
counter=0
|
||||
for n in range(q1NumNodes):
|
||||
if (sp.any(refEdge == n)):
|
||||
mapping[n]=n
|
||||
else:
|
||||
mapping[n]=counter+q1NumNodes
|
||||
counter+=1
|
||||
|
||||
mapping=mapping.astype(int)
|
||||
#Implement mapping
|
||||
|
||||
counter=0
|
||||
for n in range(linEleMat.shape[0],2*linEleMat.shape[0]):
|
||||
upperPlaneEleMat[n,0]=linEleMat[counter,0]
|
||||
upperPlaneEleMat[n,1]=linEleMat[counter,1]
|
||||
upperPlaneEleMat[n,2]=mapping[linEleMat[counter,2]]
|
||||
upperPlaneEleMat[n,3]=mapping[linEleMat[counter,3]]
|
||||
upperPlaneEleMat[n,4]=mapping[linEleMat[counter,4]]
|
||||
upperPlaneEleMat[n,5]=mapping[linEleMat[counter,5]]
|
||||
counter+=1
|
||||
|
||||
upperPlaneEleMat = upperPlaneEleMat.astype(int)
|
||||
|
||||
#Reflecting boundary matrix
|
||||
origBound=boundMatTot(numEdges)[2]
|
||||
upperPlaneBoundMat=sp.zeros([2*origBound.shape[0],4])
|
||||
for n in range(origBound.shape[0]):
|
||||
upperPlaneBoundMat[n,:]=origBound[n,:]
|
||||
counter=0
|
||||
newOrigBound=origBound.copy()
|
||||
newOrigBound[:,2]=sp.flipud(origBound[:,3])
|
||||
newOrigBound[:,3]=sp.flipud(origBound[:,2])
|
||||
for n in range(newOrigBound.shape[0],upperPlaneBoundMat.shape[0]):
|
||||
upperPlaneBoundMat[n,0]=newOrigBound[counter,0]
|
||||
upperPlaneBoundMat[n,1]=newOrigBound[counter,1]
|
||||
upperPlaneBoundMat[n,2]=mapping[newOrigBound[counter,2]]
|
||||
upperPlaneBoundMat[n,3]=mapping[newOrigBound[counter,3]]
|
||||
counter+=1
|
||||
upperPlaneBoundMat=upperPlaneBoundMat.astype(int)
|
||||
|
||||
#Reflecting vertex matrix about the y-axis and appending it to itself
|
||||
upperPlaneNumNodes=q1NumNodes+(q1NumNodes-refEdge.shape[0])
|
||||
upperPlaneVertMat = sp.zeros([upperPlaneNumNodes,2])
|
||||
for n in range(linVertMat.shape[0]):
|
||||
upperPlaneVertMat[n,:]=linVertMat[n,:]
|
||||
counter=0
|
||||
for n in range(linVertMat.shape[0],upperPlaneNumNodes):
|
||||
upperPlaneVertMat[n,0]=-1.0*linVertMat[sp.where(mapping==n)[0][0],0]
|
||||
upperPlaneVertMat[n,1]=linVertMat[sp.where(mapping==n)[0][0],1]
|
||||
counter+=1
|
||||
|
||||
upperPlaneEleMat=orient(upperPlaneEleMat)
|
||||
g=open(outputName+'UpperPlaneLin.mesh','w')
|
||||
g.write('MFEM mesh v1.0\n'+'\n')
|
||||
g.write('dimension\n'+'2\n'+'\n')
|
||||
g.write('elements\n'+'{}\n'.format(upperPlaneEleMat.shape[0]))
|
||||
for n in range(upperPlaneEleMat.shape[0]):
|
||||
if upperPlaneEleMat[n,1]==2:
|
||||
g.write('{} {} {} {} {}\n'.format(upperPlaneEleMat[n,0],upperPlaneEleMat[n,1],upperPlaneEleMat[n,2],upperPlaneEleMat[n,3],upperPlaneEleMat[n,4]))
|
||||
else:
|
||||
g.write('{} {} {} {} {} {}\n'.format(upperPlaneEleMat[n,0],upperPlaneEleMat[n,1],upperPlaneEleMat[n,2],upperPlaneEleMat[n,3],upperPlaneEleMat[n,4],upperPlaneEleMat[n,5]))
|
||||
g.write('\n'+'boundary\n'+'{}\n'.format(upperPlaneBoundMat.shape[0]))
|
||||
for n in range(upperPlaneBoundMat.shape[0]):
|
||||
g.write('{} {} {} {}\n'.format(upperPlaneBoundMat[n,0],upperPlaneBoundMat[n,1],upperPlaneBoundMat[n,2],upperPlaneBoundMat[n,3]))
|
||||
g.write('\n'+'vertices\n'+'{}\n'.format(upperPlaneVertMat.shape[0])+'2\n')
|
||||
for n in range(upperPlaneVertMat.shape[0]):
|
||||
g.write('{} {}\n'.format(upperPlaneVertMat[n,0],upperPlaneVertMat[n,1]))
|
||||
g.close()
|
||||
|
||||
if(visMesh==True):
|
||||
gVis(glvis,outputName+'UpperPlaneLin.mesh')
|
||||
|
||||
#'Reflecting' topology about one of its edges and append it to itself
|
||||
wholePlaneEleMat = sp.zeros([2*upperPlaneEleMat.shape[0],6])
|
||||
for n in range(upperPlaneEleMat.shape[0]):
|
||||
wholePlaneEleMat[n,:]=upperPlaneEleMat[n,:]
|
||||
|
||||
quad1Edge=boundMatTot(numEdges)[3]
|
||||
newRefEdge=sp.zeros(2*quad1Edge.shape[0]-1)
|
||||
for n in range(quad1Edge.shape[0]):
|
||||
newRefEdge[n]=quad1Edge[n]
|
||||
counter=0
|
||||
for n in range(quad1Edge.shape[0],newRefEdge.shape[0]):
|
||||
newRefEdge[n]=mapping[quad1Edge[counter]]
|
||||
counter+=1
|
||||
newRefEdge=sp.unique(newRefEdge)
|
||||
newRefEdge=newRefEdge.astype(int)
|
||||
newTotNumNodes=upperPlaneVertMat.shape[0]
|
||||
|
||||
newMapping=sp.zeros([newTotNumNodes])
|
||||
counter=0
|
||||
for n in range(newTotNumNodes):
|
||||
if (sp.any(newRefEdge == n)):
|
||||
newMapping[n]=n
|
||||
else:
|
||||
newMapping[n]=counter+newTotNumNodes
|
||||
counter+=1
|
||||
newMapping=newMapping.astype(int)
|
||||
|
||||
counter=0
|
||||
for n in range(upperPlaneEleMat.shape[0],2*upperPlaneEleMat.shape[0]):
|
||||
wholePlaneEleMat[n,0]=upperPlaneEleMat[counter,0]
|
||||
wholePlaneEleMat[n,1]=upperPlaneEleMat[counter,1]
|
||||
wholePlaneEleMat[n,2]=newMapping[upperPlaneEleMat[counter,2]]
|
||||
wholePlaneEleMat[n,3]=newMapping[upperPlaneEleMat[counter,3]]
|
||||
wholePlaneEleMat[n,4]=newMapping[upperPlaneEleMat[counter,4]]
|
||||
wholePlaneEleMat[n,5]=newMapping[upperPlaneEleMat[counter,5]]
|
||||
counter+=1
|
||||
|
||||
wholePlaneEleMat=wholePlaneEleMat.astype(int)
|
||||
|
||||
#Reflecting boundary matrix
|
||||
newOrigBoundQuad1=boundMatTot(numEdges)[4]
|
||||
newFirstBoundMatHolder=sp.zeros([2*newOrigBoundQuad1.shape[0],4])
|
||||
for n in range(newOrigBoundQuad1.shape[0]):
|
||||
newFirstBoundMatHolder[n,:]=newOrigBoundQuad1[n,:]
|
||||
|
||||
newNewOrigBoundQuad1=newOrigBoundQuad1.copy()
|
||||
newNewOrigBoundQuad1[:,2]=sp.flipud(newOrigBoundQuad1[:,3])
|
||||
newNewOrigBoundQuad1[:,3]=sp.flipud(newOrigBoundQuad1[:,2])
|
||||
counter=0
|
||||
for n in range(newOrigBoundQuad1.shape[0],newFirstBoundMatHolder.shape[0]):
|
||||
newFirstBoundMatHolder[n,0]=newNewOrigBoundQuad1[counter,0]
|
||||
newFirstBoundMatHolder[n,1]=newNewOrigBoundQuad1[counter,1]
|
||||
newFirstBoundMatHolder[n,2]=mapping[newNewOrigBoundQuad1[counter,2]]
|
||||
newFirstBoundMatHolder[n,3]=mapping[newNewOrigBoundQuad1[counter,3]]
|
||||
counter+=1
|
||||
|
||||
upperQuadMat=newFirstBoundMatHolder.copy()
|
||||
wholePlaneBoundMat=sp.zeros([2*upperQuadMat.shape[0],4])
|
||||
for n in range(upperQuadMat.shape[0]):
|
||||
wholePlaneBoundMat[n,:]=upperQuadMat[n,:]
|
||||
|
||||
counter=0
|
||||
newNewOrigBound=upperQuadMat.copy()
|
||||
newNewOrigBound[:,2]=sp.flipud(upperQuadMat[:,3])
|
||||
newNewOrigBound[:,3]=sp.flipud(upperQuadMat[:,2])
|
||||
newNewOrigBound=newNewOrigBound.astype(int)
|
||||
for n in range(newNewOrigBound.shape[0],wholePlaneBoundMat.shape[0]):
|
||||
wholePlaneBoundMat[n,0]=newNewOrigBound[counter,0]
|
||||
wholePlaneBoundMat[n,1]=newNewOrigBound[counter,1]
|
||||
wholePlaneBoundMat[n,2]=newMapping[newNewOrigBound[counter,2]]
|
||||
wholePlaneBoundMat[n,3]=newMapping[newNewOrigBound[counter,3]]
|
||||
counter+=1
|
||||
wholePlaneBoundMat=wholePlaneBoundMat.astype(int)
|
||||
|
||||
wholePlaneNumNodes=newTotNumNodes+(newTotNumNodes-newRefEdge.shape[0])
|
||||
wholePlaneVertMat = sp.zeros([wholePlaneNumNodes,2])
|
||||
for n in range(upperPlaneVertMat.shape[0]):
|
||||
wholePlaneVertMat[n,:]=upperPlaneVertMat[n,:]
|
||||
counter=0
|
||||
for n in range(upperPlaneVertMat.shape[0],wholePlaneNumNodes):
|
||||
wholePlaneVertMat[n,0]=upperPlaneVertMat[sp.where(newMapping==n)[0][0],0]
|
||||
wholePlaneVertMat[n,1]=-1.0*upperPlaneVertMat[sp.where(newMapping==n)[0][0],1]
|
||||
counter+=1
|
||||
|
||||
g=open(outputName+'WholePlaneLin.mesh','w')
|
||||
g.write('MFEM mesh v1.0\n'+'\n')
|
||||
g.write('dimension\n'+'2\n'+'\n')
|
||||
g.write('elements\n'+'{}\n'.format(wholePlaneEleMat.shape[0]))
|
||||
for n in range(wholePlaneEleMat.shape[0]):
|
||||
if wholePlaneEleMat[n,1]==2:
|
||||
g.write('{} {} {} {} {}\n'.format(wholePlaneEleMat[n,0],wholePlaneEleMat[n,1],wholePlaneEleMat[n,2],wholePlaneEleMat[n,3],wholePlaneEleMat[n,4]))
|
||||
else:
|
||||
g.write('{} {} {} {} {} {}\n'.format(wholePlaneEleMat[n,0],wholePlaneEleMat[n,1],wholePlaneEleMat[n,2],wholePlaneEleMat[n,3],wholePlaneEleMat[n,4],wholePlaneEleMat[n,5]))
|
||||
g.write('\n'+'boundary\n'+'{}\n'.format(wholePlaneBoundMat.shape[0]))
|
||||
for n in range(wholePlaneBoundMat.shape[0]):
|
||||
g.write('{} {} {} {}\n'.format(wholePlaneBoundMat[n,0],wholePlaneBoundMat[n,1],wholePlaneBoundMat[n,2],wholePlaneBoundMat[n,3]))
|
||||
g.write('\n'+'vertices\n'+'{}\n'.format(wholePlaneVertMat.shape[0])+'2\n')
|
||||
for n in range(wholePlaneVertMat.shape[0]):
|
||||
g.write('{} {}\n'.format(wholePlaneVertMat[n,0],wholePlaneVertMat[n,1]))
|
||||
g.close()
|
||||
|
||||
if(visMesh==True):
|
||||
gVis(glvis,outputName+'WholePlaneLin.mesh')
|
||||
|
||||
#1.)Create Edge list from elements
|
||||
wholePlaneEleMat=orient(wholePlaneEleMat)
|
||||
triCounter=0;quadCounter=0;
|
||||
for n in range(wholePlaneEleMat.shape[0]):
|
||||
if wholePlaneEleMat[n,1]==2:
|
||||
triCounter+=1
|
||||
else:
|
||||
quadCounter+=1
|
||||
edgeMat=sp.zeros([3*triCounter+4*quadCounter,2])
|
||||
counter=0
|
||||
for n in range(wholePlaneEleMat.shape[0]):
|
||||
if wholePlaneEleMat[n,1]==2:
|
||||
edgeMat[counter,:]=[wholePlaneEleMat[n,2],wholePlaneEleMat[n,3]]
|
||||
counter+=1
|
||||
edgeMat[counter,:]=[wholePlaneEleMat[n,3],wholePlaneEleMat[n,4]]
|
||||
counter+=1
|
||||
edgeMat[counter,:]=[wholePlaneEleMat[n,4],wholePlaneEleMat[n,2]]
|
||||
counter+=1
|
||||
else:
|
||||
edgeMat[counter,:]=[wholePlaneEleMat[n,2],wholePlaneEleMat[n,3]]
|
||||
counter+=1
|
||||
edgeMat[counter,:]=[wholePlaneEleMat[n,3],wholePlaneEleMat[n,4]]
|
||||
counter+=1
|
||||
edgeMat[counter,:]=[wholePlaneEleMat[n,4],wholePlaneEleMat[n,5]]
|
||||
counter+=1
|
||||
edgeMat[counter,:]=[wholePlaneEleMat[n,5],wholePlaneEleMat[n,2]]
|
||||
counter+=1
|
||||
|
||||
#Remove duplicates
|
||||
holder=[]
|
||||
for n in range(edgeMat.shape[0]):
|
||||
counter=0
|
||||
for m in range(edgeMat.shape[0]):
|
||||
if edgeMat[n,0]==edgeMat[m,0] and edgeMat[n,1]==edgeMat[m,1] and m!=n:
|
||||
holder.append([n,m])
|
||||
elif edgeMat[n,1]==edgeMat[m,0] and edgeMat[n,0]==edgeMat[m,1] and m!=n:
|
||||
holder.append([n,m])
|
||||
removeIndices=sp.zeros(len(holder))
|
||||
for n in range(len(holder)):
|
||||
if holder[n][0]>holder[n][1]:
|
||||
removeIndices[n]=holder[n][0]
|
||||
else:
|
||||
removeIndices[n]=holder[n][1]
|
||||
removeIndices=sp.unique(removeIndices).astype(int)
|
||||
edgeMat=sp.delete(edgeMat,removeIndices,0)
|
||||
edgeMat=edgeMat.astype(int)
|
||||
|
||||
edgeDofMat=sp.zeros([edgeMat.shape[0],2])
|
||||
|
||||
wholePlaneVertMatRound=sp.round_(wholePlaneVertMat,5)
|
||||
|
||||
counter=0
|
||||
for n in edgeMat:
|
||||
if wholePlaneVertMatRound[n[0],1] == wholePlaneVertMatRound[n[1],1]:
|
||||
xmid=(wholePlaneVertMatRound[n[0],0]+wholePlaneVertMatRound[n[1],0])/2.0
|
||||
ymid=wholePlaneVertMatRound[n[0],1]
|
||||
edgeDofMat[counter,:]=[xmid,ymid]
|
||||
elif wholePlaneVertMatRound[n[0],0] == wholePlaneVertMatRound[n[1],0]:
|
||||
xmid=wholePlaneVertMatRound[n[0],0]
|
||||
ymid=(wholePlaneVertMatRound[n[0],1]+wholePlaneVertMatRound[n[1],1])/2.0
|
||||
edgeDofMat[counter,:]=[xmid,ymid]
|
||||
else:
|
||||
r0=sp.sqrt(wholePlaneVertMatRound[n[0],0]**2+wholePlaneVertMatRound[n[0],1]**2)
|
||||
r1=sp.sqrt(wholePlaneVertMatRound[n[1],0]**2+wholePlaneVertMatRound[n[1],1]**2)
|
||||
rmid = (r0+r1)/2.0 #should not be needed
|
||||
xmidOld=(wholePlaneVertMatRound[n[0],0]+wholePlaneVertMatRound[n[1],0])/2.0
|
||||
ymidOld=(wholePlaneVertMatRound[n[0],1]+wholePlaneVertMatRound[n[1],1])/2.0
|
||||
midtheta=sp.arctan2(ymidOld,xmidOld)
|
||||
xmid=rmid*sp.cos(midtheta)
|
||||
ymid=rmid*sp.sin(midtheta)
|
||||
edgeDofMat[counter,:]=[xmid,ymid]
|
||||
counter+=1
|
||||
edgeDofMat = sp.round_(edgeDofMat,5)
|
||||
|
||||
#2.)Create correct dof locations
|
||||
#Determine midpoints of all quads:
|
||||
quadCentroidLoc=sp.zeros([quadCounter,2])
|
||||
counter=0
|
||||
for n in range(wholePlaneEleMat.shape[0]):
|
||||
if wholePlaneEleMat[n,1]==3:
|
||||
quadCentroidLoc[counter,0]=(wholePlaneVertMatRound[wholePlaneEleMat[n,2],0]+wholePlaneVertMatRound[wholePlaneEleMat[n,3],0]+wholePlaneVertMatRound[wholePlaneEleMat[n,4],0]+wholePlaneVertMatRound[wholePlaneEleMat[n,5],0])/4.0
|
||||
quadCentroidLoc[counter,1]=(wholePlaneVertMatRound[wholePlaneEleMat[n,2],1]+wholePlaneVertMatRound[wholePlaneEleMat[n,3],1]+wholePlaneVertMatRound[wholePlaneEleMat[n,4],1]+wholePlaneVertMatRound[wholePlaneEleMat[n,5],1])/4.0
|
||||
counter+=1
|
||||
|
||||
quadCentroidLoc = sp.round_(quadCentroidLoc,5)
|
||||
|
||||
#3.)Populate nodes section
|
||||
g=open(outputName+'WholePlaneQuad.mesh','w')
|
||||
g.write('MFEM mesh v1.0\n'+'\n')
|
||||
g.write('dimension\n'+'2\n'+'\n')
|
||||
g.write('elements\n'+'{}\n'.format(wholePlaneEleMat.shape[0]))
|
||||
for n in range(wholePlaneEleMat.shape[0]):
|
||||
if wholePlaneEleMat[n,1]==2:
|
||||
g.write('{} {} {} {} {}\n'.format(wholePlaneEleMat[n,0],wholePlaneEleMat[n,1],wholePlaneEleMat[n,2],wholePlaneEleMat[n,3],wholePlaneEleMat[n,4]))
|
||||
else:
|
||||
g.write('{} {} {} {} {} {}\n'.format(wholePlaneEleMat[n,0],wholePlaneEleMat[n,1],wholePlaneEleMat[n,2],wholePlaneEleMat[n,3],wholePlaneEleMat[n,4],wholePlaneEleMat[n,5]))
|
||||
g.write('\n'+'boundary\n'+'{}\n'.format(wholePlaneBoundMat.shape[0]))
|
||||
for n in range(wholePlaneBoundMat.shape[0]):
|
||||
g.write('{} {} {} {}\n'.format(wholePlaneBoundMat[n,0],wholePlaneBoundMat[n,1],wholePlaneBoundMat[n,2],wholePlaneBoundMat[n,3]))
|
||||
g.write('\n'+'vertices\n'+'{}\n'.format(wholePlaneVertMat.shape[0]))
|
||||
g.write('\n'+'nodes'+'\n'+'FiniteElementSpace'+'\n'+'FiniteElementCollection: H1_2D_P2'+'\n'+'VDim: 2'+'\n'+'Ordering: 1' +'\n\n')
|
||||
for n in range(wholePlaneVertMatRound.shape[0]):
|
||||
g.write('{} {}\n'.format(wholePlaneVertMatRound[n,0],wholePlaneVertMatRound[n,1]))
|
||||
for n in range(edgeDofMat.shape[0]):
|
||||
g.write('{} {}\n'.format(edgeDofMat[n,0],edgeDofMat[n,1]))
|
||||
for n in range(quadCentroidLoc.shape[0]):
|
||||
g.write('{} {}\n'.format(quadCentroidLoc[n,0],quadCentroidLoc[n,1]))
|
||||
g.close()
|
||||
|
||||
if(visMesh==True):
|
||||
gVis(glvis,outputName+'WholePlaneQuad.mesh')
|
||||
File diff suppressed because it is too large
Load Diff
File diff suppressed because it is too large
Load Diff
@@ -0,0 +1,264 @@
|
||||
MFEM mesh v1.0
|
||||
|
||||
dimension
|
||||
2
|
||||
|
||||
elements
|
||||
128
|
||||
1 2 0 1 2
|
||||
1 2 1 2 4
|
||||
1 2 1 3 4
|
||||
1 2 2 4 5
|
||||
1 2 3 4 7
|
||||
1 2 3 6 7
|
||||
1 2 4 5 8
|
||||
1 2 4 7 8
|
||||
1 2 5 8 9
|
||||
1 2 6 7 11
|
||||
1 2 6 10 11
|
||||
1 2 7 8 12
|
||||
1 2 7 11 12
|
||||
1 2 8 9 13
|
||||
1 2 8 12 13
|
||||
1 2 9 13 14
|
||||
2 3 10 15 16 11
|
||||
2 3 11 16 17 12
|
||||
2 3 12 17 18 13
|
||||
2 3 13 18 19 14
|
||||
2 3 15 20 21 16
|
||||
2 3 16 21 22 17
|
||||
2 3 17 22 23 18
|
||||
2 3 18 23 24 19
|
||||
2 3 20 25 26 21
|
||||
2 3 21 26 27 22
|
||||
2 3 22 27 28 23
|
||||
2 3 23 28 29 24
|
||||
2 3 25 30 31 26
|
||||
2 3 26 31 32 27
|
||||
2 3 27 32 33 28
|
||||
2 3 28 33 34 29
|
||||
1 2 0 35 2
|
||||
1 2 35 2 37
|
||||
1 2 35 36 37
|
||||
1 2 2 37 5
|
||||
1 2 36 37 39
|
||||
1 2 36 38 39
|
||||
1 2 37 5 40
|
||||
1 2 37 39 40
|
||||
1 2 5 40 9
|
||||
1 2 38 39 42
|
||||
1 2 38 41 42
|
||||
1 2 39 40 43
|
||||
1 2 39 42 43
|
||||
1 2 40 9 44
|
||||
1 2 40 43 44
|
||||
1 2 9 44 14
|
||||
2 3 41 45 46 42
|
||||
2 3 42 46 47 43
|
||||
2 3 43 47 48 44
|
||||
2 3 44 48 19 14
|
||||
2 3 45 49 50 46
|
||||
2 3 46 50 51 47
|
||||
2 3 47 51 52 48
|
||||
2 3 48 52 24 19
|
||||
2 3 49 53 54 50
|
||||
2 3 50 54 55 51
|
||||
2 3 51 55 56 52
|
||||
2 3 52 56 29 24
|
||||
2 3 53 57 58 54
|
||||
2 3 54 58 59 55
|
||||
2 3 55 59 60 56
|
||||
2 3 56 60 34 29
|
||||
1 2 0 1 61
|
||||
1 2 1 61 62
|
||||
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CELL_TYPES 30
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0.19251187 -0.80705498 0.25883814
|
||||
-0.21750059 -0.91181357 0.303448
|
||||
-0.27482155 -1.1521165 0.24896124
|
||||
0.24261222 -1.0170874 0.30646131
|
||||
0.29208377 -1.2244838 0.17030213
|
||||
0.58944272 -1.0209447 2.7755576e-17
|
||||
0.5 -0.8660254 -0.17888544
|
||||
0.5 -0.8660254 0.17888544
|
||||
0.41055728 -0.71110607 -2.7755576e-17
|
||||
0.91439218 -0.86519386 -0.17030213
|
||||
0.75951745 -0.71865207 -0.30646131
|
||||
1.1351729 -0.33805581 -0.24896124
|
||||
0.89840401 -0.26754575 -0.303448
|
||||
0.60267418 -0.57024766 -0.25883814
|
||||
0.50377116 -0.47666605 -0.045623048
|
||||
0.71979881 -0.21435692 -0.18444051
|
||||
0.66757847 -0.19880564 0.062604414
|
||||
0.53836358 -0.50939725 0.17030213
|
||||
0.69323831 -0.65593903 0.30646131
|
||||
0.78163576 -0.23277203 0.24896124
|
||||
1.0184047 -0.30328209 0.303448
|
||||
0.85008158 -0.80434345 0.25883814
|
||||
0.9489846 -0.89792505 0.045623048
|
||||
1.1970099 -0.35647092 0.18444051
|
||||
1.2492302 -0.3720222 -0.062604414
|
||||
0.81390971 0.24238325 -0.096279082
|
||||
0.86613006 0.25793453 0.15076584
|
||||
1.0506786 0.31289331 -0.15076584
|
||||
1.102899 0.32844459 0.096279082
|
||||
0.59948901 0.56723386 -0.038527956
|
||||
0.69839202 0.66081546 0.17468714
|
||||
0.75436373 0.71377565 -0.17468714
|
||||
0.85326675 0.80735725 0.038527956
|
||||
0.19149443 0.80278964 0.038527956
|
||||
0.24096597 1.010186 0.17468714
|
||||
0.22308696 0.93523296 -0.17468714
|
||||
0.27255851 1.1426293 -0.038527956
|
||||
-0.1970448 0.82605811 0.096279082
|
||||
-0.25436576 1.066361 0.15076584
|
||||
-0.20968717 0.8790579 -0.15076584
|
||||
-0.26700813 1.1193608 -0.096279082
|
||||
-0.65644288 0.62112337 0.15076584
|
||||
-0.83589085 0.79091624 0.096279082
|
||||
-0.61686491 0.58367486 -0.096279082
|
||||
-0.79631287 0.75346774 -0.15076584
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
-0.79631287 -0.75346774 0.15076584
|
||||
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|
||||
-0.61686491 -0.58367486 0.096279082
|
||||
-0.65644288 -0.62112337 -0.15076584
|
||||
-0.26700813 -1.1193608 0.096279082
|
||||
-0.25436576 -1.066361 -0.15076584
|
||||
-0.20968717 -0.8790579 0.15076584
|
||||
-0.1970448 -0.82605811 -0.096279082
|
||||
0.27255851 -1.1426293 0.038527956
|
||||
0.24096597 -1.010186 -0.17468714
|
||||
0.22308696 -0.93523296 0.17468714
|
||||
0.19149443 -0.80278964 -0.038527956
|
||||
0.85326675 -0.80735725 -0.038527956
|
||||
0.69839202 -0.66081546 -0.17468714
|
||||
0.75436373 -0.71377565 0.17468714
|
||||
0.59948901 -0.56723386 0.038527956
|
||||
1.102899 -0.32844459 -0.096279082
|
||||
0.86613006 -0.25793453 -0.15076584
|
||||
1.0506786 -0.31289331 0.15076584
|
||||
0.81390971 -0.24238325 0.096279082
|
||||
@@ -1,236 +0,0 @@
|
||||
MFEM mesh v1.0
|
||||
|
||||
#
|
||||
# MFEM Geometry Types (see mesh/geom.hpp):
|
||||
#
|
||||
# POINT = 0
|
||||
# SEGMENT = 1
|
||||
# TRIANGLE = 2
|
||||
# SQUARE = 3
|
||||
# TETRAHEDRON = 4
|
||||
# CUBE = 5
|
||||
# PRISM = 6
|
||||
#
|
||||
|
||||
dimension
|
||||
3
|
||||
|
||||
elements
|
||||
6
|
||||
1 6 0 1 2 3 4 5
|
||||
1 6 3 4 5 6 7 8
|
||||
1 6 6 7 8 9 10 11
|
||||
1 6 9 10 11 12 13 14
|
||||
1 6 12 13 14 15 16 17
|
||||
1 6 15 16 17 0 1 2
|
||||
|
||||
boundary
|
||||
18
|
||||
1 3 0 1 4 3
|
||||
1 3 1 2 5 4
|
||||
1 3 2 0 3 5
|
||||
1 3 3 4 7 6
|
||||
1 3 4 5 8 7
|
||||
1 3 5 3 6 8
|
||||
1 3 6 7 10 9
|
||||
1 3 7 8 11 10
|
||||
1 3 8 6 9 11
|
||||
1 3 9 10 13 12
|
||||
1 3 10 11 14 13
|
||||
1 3 11 9 12 14
|
||||
1 3 12 13 16 15
|
||||
1 3 13 14 17 16
|
||||
1 3 14 12 15 17
|
||||
1 3 15 16 1 0
|
||||
1 3 16 17 2 1
|
||||
1 3 17 15 0 2
|
||||
|
||||
vertices
|
||||
18
|
||||
|
||||
nodes
|
||||
FiniteElementSpace
|
||||
FiniteElementCollection: H1_3D_P3
|
||||
VDim: 3
|
||||
Ordering: 1
|
||||
|
||||
0.6 -1.4695762e-16 -9.7971744e-17
|
||||
1.2 -2.9391523e-16 0.34641016
|
||||
1.2 -1.3597293e-15 -0.34641016
|
||||
0.4 0.69282032 0.34641016
|
||||
0.7 1.2124356 2.7755576e-17
|
||||
0.4 0.69282032 -0.34641016
|
||||
-0.6 1.0392305 0.34641016
|
||||
-0.6 1.0392305 -0.34641016
|
||||
-0.3 0.51961524 -3.8651415e-16
|
||||
-1.4 1.7145055e-16 4.8985872e-17
|
||||
-0.8 9.7971744e-17 -0.34641016
|
||||
-0.8 4.5324311e-16 0.34641016
|
||||
-0.6 -1.0392305 -0.34641016
|
||||
-0.3 -0.51961524 -2.220446e-16
|
||||
-0.6 -1.0392305 0.34641016
|
||||
0.4 -0.69282032 -0.34641016
|
||||
0.4 -0.69282032 0.34641016
|
||||
0.7 -1.2124356 7.7509221e-16
|
||||
0.76583592 -8.6777464e-16 0.095745414
|
||||
1.0341641 2.5022695e-15 0.25066475
|
||||
1.2 -1.3597293e-15 0.15491933
|
||||
1.2 -2.9391523e-16 -0.15491933
|
||||
0.76583592 4.9262324e-16 -0.095745414
|
||||
1.0341641 3.4207917e-15 -0.25066475
|
||||
0.48291796 0.83643844 0.25066475
|
||||
0.61708204 1.0688174 0.095745414
|
||||
0.61708204 1.0688174 -0.095745414
|
||||
0.48291796 0.83643844 -0.25066475
|
||||
0.4 0.69282032 0.15491933
|
||||
0.4 0.69282032 -0.15491933
|
||||
0.59098879 0.17599714 0.11416557
|
||||
0.51532795 0.48760104 0.27491822
|
||||
1.2368698 0.36834126 0.27491822
|
||||
1.0048434 0.95077837 0.11416557
|
||||
1.0473544 0.31190335 -0.38908379
|
||||
0.65896232 0.62350725 -0.38908379
|
||||
-0.6 1.0392305 0.15491933
|
||||
-0.6 1.0392305 -0.15491933
|
||||
-0.51708204 0.89561236 -0.25066475
|
||||
-0.38291796 0.66323336 -0.095745414
|
||||
-0.51708204 0.89561236 0.25066475
|
||||
-0.38291796 0.66323336 0.095745414
|
||||
0.21049196 0.88243173 0.38908379
|
||||
-0.25356098 1.0629872 0.38908379
|
||||
0.32097654 1.3456091 -0.11416557
|
||||
-0.29944203 1.2553313 -0.27491822
|
||||
0.16461091 0.69008761 -0.27491822
|
||||
-0.1430764 0.59980988 -0.11416557
|
||||
-1.2341641 6.9922046e-16 -0.095745414
|
||||
-0.96583592 -1.1684711e-15 -0.25066475
|
||||
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|
||||
-0.8 9.7971744e-17 0.15491933
|
||||
-1.2341641 -3.9693744e-16 0.095745414
|
||||
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|
||||
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|
||||
-1.3258199 0.3948307 0.11416557
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
-0.51708204 -0.89561236 -0.25066475
|
||||
-0.38291796 -0.66323336 -0.095745414
|
||||
-0.38291796 -0.66323336 0.095745414
|
||||
-0.51708204 -0.89561236 0.25066475
|
||||
-0.6 -1.0392305 -0.15491933
|
||||
-0.6 -1.0392305 0.15491933
|
||||
-1.3258199 -0.3948307 -0.11416557
|
||||
-0.93742781 -0.88699007 -0.27491822
|
||||
-0.67993886 -0.20248658 -0.27491822
|
||||
-0.44791239 -0.42381273 -0.11416557
|
||||
-0.86945428 -0.25892449 0.38908379
|
||||
-0.79379344 -0.75108386 0.38908379
|
||||
0.4 -0.69282032 -0.15491933
|
||||
0.4 -0.69282032 0.15491933
|
||||
0.48291796 -0.83643844 0.25066475
|
||||
0.61708204 -1.0688174 0.095745414
|
||||
0.48291796 -0.83643844 -0.25066475
|
||||
0.61708204 -1.0688174 -0.095745414
|
||||
-0.25356098 -1.0629872 -0.38908379
|
||||
0.21049196 -0.88243173 -0.38908379
|
||||
-0.1430764 -0.59980988 0.11416557
|
||||
0.16461091 -0.69008761 0.27491822
|
||||
-0.29944203 -1.2553313 0.27491822
|
||||
0.32097654 -1.3456091 0.11416557
|
||||
0.59098879 -0.17599714 -0.11416557
|
||||
0.51532795 -0.48760104 -0.27491822
|
||||
1.0473544 -0.31190335 0.38908379
|
||||
0.65896232 -0.62350725 0.38908379
|
||||
1.2368698 -0.36834126 -0.27491822
|
||||
1.0048434 -0.95077837 -0.11416557
|
||||
1 2.4196059e-15 -1.3788671e-16
|
||||
0.5 0.8660254 -8.6542076e-17
|
||||
0.76950592 0.22915975 0.15859651
|
||||
1.0583527 0.31517866 0.23048728
|
||||
0.65062668 0.6156201 0.23048728
|
||||
0.86954463 0.8227593 0.15859651
|
||||
1.1844891 0.35274221 0.091392579
|
||||
1.0997352 0.32750241 -0.20555815
|
||||
0.9092442 0.86032286 -0.024929133
|
||||
0.75456149 0.71396276 -0.24998909
|
||||
0.92121806 0.2743398 -0.24998909
|
||||
0.71712515 0.2135607 -0.024929133
|
||||
0.61926276 0.5859437 -0.20555815
|
||||
0.55502751 0.52516459 0.091392579
|
||||
-0.5 0.8660254 5.1344633e-17
|
||||
0.24102914 1.0104508 0.24998909
|
||||
0.29043935 1.21759 0.024929133
|
||||
-0.26624219 1.1161498 0.20555815
|
||||
-0.28676082 1.2021687 -0.091392579
|
||||
0.27775814 1.1644274 -0.15859651
|
||||
0.20782931 0.87126929 -0.23048728
|
||||
-0.25622363 1.0741497 -0.23048728
|
||||
-0.1862948 0.78099155 -0.15859651
|
||||
0.17729212 0.74325022 -0.091392579
|
||||
0.19781075 0.82926913 0.20555815
|
||||
-0.17361359 0.72782894 0.024929133
|
||||
-0.22302379 0.93496814 0.24998909
|
||||
-1 -1.2098029e-15 1.3788671e-16
|
||||
-0.89772824 0.84942651 0.091392579
|
||||
-0.833493 0.78864741 -0.20555815
|
||||
-1.1996835 0.35726714 -0.024929133
|
||||
-0.99559063 0.29648804 -0.24998909
|
||||
-0.69819427 0.66062834 -0.24998909
|
||||
-0.54351156 0.51426825 -0.024929133
|
||||
-0.8170735 0.24332543 -0.20555815
|
||||
-0.73231963 0.21808563 0.091392579
|
||||
-0.58321113 0.5518318 0.15859651
|
||||
-0.80212907 0.758971 0.23048728
|
||||
-0.85845599 0.25564918 0.23048728
|
||||
-1.1473028 0.34166809 0.15859651
|
||||
-0.5 -0.8660254 8.6542076e-17
|
||||
-1.1473028 -0.34166809 -0.15859651
|
||||
-0.85845599 -0.25564918 -0.23048728
|
||||
-0.80212907 -0.758971 -0.23048728
|
||||
-0.58321113 -0.5518318 -0.15859651
|
||||
-0.73231963 -0.21808563 -0.091392579
|
||||
-0.8170735 -0.24332543 0.20555815
|
||||
-0.54351156 -0.51426825 0.024929133
|
||||
-0.69819427 -0.66062834 0.24998909
|
||||
-0.99559063 -0.29648804 0.24998909
|
||||
-1.1996835 -0.35726714 0.024929133
|
||||
-0.833493 -0.78864741 0.20555815
|
||||
-0.89772824 -0.84942651 -0.091392579
|
||||
0.5 -0.8660254 -5.1344633e-17
|
||||
-0.22302379 -0.93496814 -0.24998909
|
||||
-0.17361359 -0.72782894 -0.024929133
|
||||
0.19781075 -0.82926913 -0.20555815
|
||||
0.17729212 -0.74325022 0.091392579
|
||||
-0.1862948 -0.78099155 0.15859651
|
||||
-0.25622363 -1.0741497 0.23048728
|
||||
0.20782931 -0.87126929 0.23048728
|
||||
0.27775814 -1.1644274 0.15859651
|
||||
-0.28676082 -1.2021687 0.091392579
|
||||
-0.26624219 -1.1161498 -0.20555815
|
||||
0.29043935 -1.21759 -0.024929133
|
||||
0.24102914 -1.0104508 -0.24998909
|
||||
0.55502751 -0.52516459 -0.091392579
|
||||
0.61926276 -0.5859437 0.20555815
|
||||
0.71712515 -0.2135607 0.024929133
|
||||
0.92121806 -0.2743398 0.24998909
|
||||
0.75456149 -0.71396276 0.24998909
|
||||
0.9092442 -0.86032286 0.024929133
|
||||
1.0997352 -0.32750241 0.20555815
|
||||
1.1844891 -0.35274221 -0.091392579
|
||||
0.86954463 -0.8227593 -0.15859651
|
||||
0.65062668 -0.6156201 -0.23048728
|
||||
1.0583527 -0.31517866 -0.23048728
|
||||
0.76950592 -0.22915975 -0.15859651
|
||||
0.95840435 0.28541392 -1.3795119e-16
|
||||
0.72637788 0.68729555 -1.1412456e-16
|
||||
0.23202647 0.97270947 -5.1760042e-17
|
||||
-0.23202647 0.97270947 1.2226691e-17
|
||||
-0.72637788 0.68729555 8.6191148e-17
|
||||
-0.95840435 0.28541392 1.2635125e-16
|
||||
-0.95840435 -0.28541392 1.3795119e-16
|
||||
-0.72637788 -0.68729555 1.1412456e-16
|
||||
-0.23202647 -0.97270947 5.1760042e-17
|
||||
0.23202647 -0.97270947 -1.2226691e-17
|
||||
0.72637788 -0.68729555 -8.6191148e-17
|
||||
0.95840435 -0.28541392 -1.2635125e-16
|
||||
@@ -35,10 +35,6 @@ namespace mfem {
|
||||
* - HypreParMatrix and HypreParVector
|
||||
* - HypreSolver and other \link hypre.hpp hypre classes\endlink
|
||||
*
|
||||
* <H3>Main GPU classes</H3>
|
||||
* - Device
|
||||
* - MemoryManager
|
||||
*
|
||||
* <H3>Example codes</H3>
|
||||
* - <a class="el" href="examples_2ex1_8cpp_source.html">Example 1</a>: nodal H1 FEM for the Laplace problem
|
||||
* - <a class="el" href="examples_2ex1p_8cpp_source.html">Example 1p</a>: parallel nodal H1 FEM for the Laplace problem
|
||||
@@ -75,10 +71,6 @@ namespace mfem {
|
||||
* - <a class="el" href="ex18p_8cpp_source.html">Example 18p</a>: parallel Discontinuous Galerkin (DG) for the Euler equations
|
||||
* - <a class="el" href="ex19_8cpp_source.html">Example 19</a>: incompressible nonlinear elasticity
|
||||
* - <a class="el" href="ex19p_8cpp_source.html">Example 19p</a>: parallel incompressible nonlinear elasticity
|
||||
* - <a class="el" href="ex20_8cpp_source.html">Example 20</a>: symplectic ODE integration
|
||||
* - <a class="el" href="ex20p_8cpp_source.html">Example 20p</a>: parallel symplectic ODE integration
|
||||
* - <a class="el" href="ex22_8cpp_source.html">Example 22</a>: adaptive mesh refinement for linear elasticity
|
||||
* - <a class="el" href="ex22p_8cpp_source.html">Example 22p</a>: parallel adaptive mesh refinement for linear elasticity
|
||||
*
|
||||
* <H4>SUNDIALS Examples</H4>
|
||||
* - Variants of Examples
|
||||
@@ -120,15 +112,12 @@ namespace mfem {
|
||||
* - <a class="el" href="joule_8cpp_source.html">Joule</a>: transient magnetics and Joule heating miniapp
|
||||
* - <a class="el" href="mobius-strip_8cpp_source.html">Mobius Strip</a>: generate various Mobius strip-like meshes
|
||||
* - <a class="el" href="klein-bottle_8cpp_source.html">Klein Bottle</a>: generate three types of Klein bottle surfaces
|
||||
* - <a class="el" href="toroid_8cpp_source.html">Toroid</a>: generate simple toroidal meshes
|
||||
* - <a class="el" href="shaper_8cpp_source.html">Shaper</a>: resolve material interfaces by mesh refinement
|
||||
* - <a class="el" href="extruder_8cpp_source.html">Extruder</a>: extrude a low-dimensional mesh into a higher dimension
|
||||
* - <a class="el" href="mesh-explorer_8cpp_source.html">Mesh Explorer</a>: visualize and manipulate meshes
|
||||
* - <a class="el" href="mesh-optimizer_8cpp_source.html">Mesh Optimizer</a>: optimize high-order meshes, <a class="el" href="mesh-optimizer_8cpp_source.html">serial</a> and <a class="el" href="pmesh-optimizer_8cpp_source.html">parallel</a> versions
|
||||
* - <a class="el" href="display-basis_8cpp_source.html">Display Basis</a>: visualize finite element basis functions
|
||||
* - <a class="el" href="load-dc_8cpp_source.html">Load DC</a>: visualize fields saved via DataCollection classes
|
||||
* - <a class="el" href="convert-dc_8cpp_source.html">Convert DC</a>: convert between diffirent DataCollection formats
|
||||
* - <a class="el" href="lor-transfer_8cpp_source.html">LOR Transfer</a>: map functions between high-order and low-order refined spaces
|
||||
* - <a class="el" href="miniapps_2performance_2ex1_8cpp_source.html">HPC Example 1</a>: high-performance nodal H1 FEM for the Laplace problem
|
||||
* - <a class="el" href="miniapps_2performance_2ex1p_8cpp_source.html">HPC Example 1p</a>: high-performance parallel nodal H1 FEM for the Laplace problem
|
||||
*
|
||||
|
||||
+1
-14
@@ -26,8 +26,6 @@ list(APPEND ALL_EXE_SRCS
|
||||
ex17.cpp
|
||||
ex18.cpp
|
||||
ex19.cpp
|
||||
ex20.cpp
|
||||
ex22.cpp
|
||||
)
|
||||
|
||||
if (MFEM_USE_MPI)
|
||||
@@ -51,8 +49,6 @@ if (MFEM_USE_MPI)
|
||||
ex17p.cpp
|
||||
ex18p.cpp
|
||||
ex19p.cpp
|
||||
ex20p.cpp
|
||||
ex22p.cpp
|
||||
)
|
||||
endif()
|
||||
|
||||
@@ -79,22 +75,13 @@ foreach(SRC_FILE ${ALL_EXE_SRCS})
|
||||
COMMAND ${TEST_NAME} ${THIS_TEST_OPTIONS})
|
||||
else()
|
||||
add_test(NAME ${TEST_NAME}_np=4
|
||||
COMMAND ${MPIEXEC} ${MPIEXEC_NUMPROC_FLAG} ${MFEM_MPI_NP}
|
||||
COMMAND ${MPIEXEC} ${MPIEXEC_NUMPROC_FLAG} 4
|
||||
${MPIEXEC_PREFLAGS}
|
||||
$<TARGET_FILE:${TEST_NAME}> ${THIS_TEST_OPTIONS}
|
||||
${MPIEXEC_POSTFLAGS})
|
||||
endif()
|
||||
endforeach()
|
||||
|
||||
# If STRUMPACK is enabled, add a test run that uses it.
|
||||
if (MFEM_USE_STRUMPACK)
|
||||
add_test(NAME ex11p_strumpack_np=4
|
||||
COMMAND ${MPIEXEC} ${MPIEXEC_NUMPROC_FLAG} ${MFEM_MPI_NP}
|
||||
${MPIEXEC_PREFLAGS}
|
||||
$<TARGET_FILE:ex11p> "-no-vis" "--strumpack"
|
||||
${MPIEXEC_POSTFLAGS})
|
||||
endif()
|
||||
|
||||
# Include the examples/sundials directory if SUNDIALS is enabled.
|
||||
if (MFEM_USE_SUNDIALS)
|
||||
add_subdirectory(sundials)
|
||||
|
||||
+24
-60
@@ -4,18 +4,13 @@
|
||||
//
|
||||
// Sample runs: ex1 -m ../data/square-disc.mesh
|
||||
// ex1 -m ../data/star.mesh
|
||||
// ex1 -m ../data/star-mixed.mesh
|
||||
// ex1 -m ../data/escher.mesh
|
||||
// ex1 -m ../data/fichera.mesh
|
||||
// ex1 -m ../data/fichera-mixed.mesh
|
||||
// ex1 -m ../data/toroid-wedge.mesh
|
||||
// ex1 -m ../data/square-disc-p2.vtk -o 2
|
||||
// ex1 -m ../data/square-disc-p3.mesh -o 3
|
||||
// ex1 -m ../data/square-disc-nurbs.mesh -o -1
|
||||
// ex1 -m ../data/star-mixed-p2.mesh -o 2
|
||||
// ex1 -m ../data/disc-nurbs.mesh -o -1
|
||||
// ex1 -m ../data/pipe-nurbs.mesh -o -1
|
||||
// ex1 -m ../data/fichera-mixed-p2.mesh -o 2
|
||||
// ex1 -m ../data/star-surf.mesh
|
||||
// ex1 -m ../data/square-disc-surf.mesh
|
||||
// ex1 -m ../data/inline-segment.mesh
|
||||
@@ -25,14 +20,6 @@
|
||||
// ex1 -m ../data/mobius-strip.mesh
|
||||
// ex1 -m ../data/mobius-strip.mesh -o -1 -sc
|
||||
//
|
||||
// Device sample runs:
|
||||
// ex1 -pa -d cuda
|
||||
// ex1 -pa -d raja-cuda
|
||||
// ex1 -pa -d occa-cuda
|
||||
// ex1 -pa -d raja-omp
|
||||
// ex1 -pa -d occa-omp
|
||||
// ex1 -m ../data/beam-hex.mesh -pa -d cuda
|
||||
//
|
||||
// Description: This example code demonstrates the use of MFEM to define a
|
||||
// simple finite element discretization of the Laplace problem
|
||||
// -Delta u = 1 with homogeneous Dirichlet boundary conditions.
|
||||
@@ -61,9 +48,7 @@ int main(int argc, char *argv[])
|
||||
const char *mesh_file = "../data/star.mesh";
|
||||
int order = 1;
|
||||
bool static_cond = false;
|
||||
bool pa = false;
|
||||
const char *device = "cpu";
|
||||
bool visualization = true;
|
||||
bool visualization = 1;
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&mesh_file, "-m", "--mesh",
|
||||
@@ -73,10 +58,6 @@ int main(int argc, char *argv[])
|
||||
" isoparametric space.");
|
||||
args.AddOption(&static_cond, "-sc", "--static-condensation", "-no-sc",
|
||||
"--no-static-condensation", "Enable static condensation.");
|
||||
args.AddOption(&pa, "-pa", "--partial-assembly", "-no-pa",
|
||||
"--no-partial-assembly", "Enable Partial Assembly.");
|
||||
args.AddOption(&device, "-d", "--device",
|
||||
"Device configuration string, see Device::Configure().");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
@@ -99,8 +80,8 @@ int main(int argc, char *argv[])
|
||||
// largest number that gives a final mesh with no more than 50,000
|
||||
// elements.
|
||||
{
|
||||
int ref_levels =
|
||||
(int)floor(log(50000./mesh->GetNE())/log(2.)/dim);
|
||||
int ref_levels = 0;
|
||||
//(int)floor(log(50000./mesh->GetNE())/log(2.)/dim);
|
||||
for (int l = 0; l < ref_levels; l++)
|
||||
{
|
||||
mesh->UniformRefinement();
|
||||
@@ -148,65 +129,48 @@ int main(int argc, char *argv[])
|
||||
b->AddDomainIntegrator(new DomainLFIntegrator(one));
|
||||
b->Assemble();
|
||||
|
||||
// 7. Set device config parameters from the command line options and switch
|
||||
// to working on the device.
|
||||
Device::Configure(device);
|
||||
Device::Print();
|
||||
Device::Enable();
|
||||
|
||||
// 8. Define the solution vector x as a finite element grid function
|
||||
// 7. Define the solution vector x as a finite element grid function
|
||||
// corresponding to fespace. Initialize x with initial guess of zero,
|
||||
// which satisfies the boundary conditions.
|
||||
GridFunction x(fespace);
|
||||
x = 0.0;
|
||||
|
||||
// 9. Set up the bilinear form a(.,.) on the finite element space
|
||||
// 8. Set up the bilinear form a(.,.) on the finite element space
|
||||
// corresponding to the Laplacian operator -Delta, by adding the Diffusion
|
||||
// domain integrator.
|
||||
BilinearForm *a = new BilinearForm(fespace);
|
||||
if (pa) { a->SetAssemblyLevel(AssemblyLevel::PARTIAL); }
|
||||
a->AddDomainIntegrator(new DiffusionIntegrator(one));
|
||||
|
||||
// 10. Assemble the bilinear form and the corresponding linear system,
|
||||
// applying any necessary transformations such as: eliminating boundary
|
||||
// conditions, applying conforming constraints for non-conforming AMR,
|
||||
// static condensation, etc.
|
||||
// 9. Assemble the bilinear form and the corresponding linear system,
|
||||
// applying any necessary transformations such as: eliminating boundary
|
||||
// conditions, applying conforming constraints for non-conforming AMR,
|
||||
// static condensation, etc.
|
||||
if (static_cond) { a->EnableStaticCondensation(); }
|
||||
a->Assemble();
|
||||
|
||||
OperatorPtr A;
|
||||
SparseMatrix A;
|
||||
Vector B, X;
|
||||
a->FormLinearSystem(ess_tdof_list, x, *b, A, X, B);
|
||||
|
||||
cout << "Size of linear system: " << A->Height() << endl;
|
||||
cout << "Size of linear system: " << A.Height() << endl;
|
||||
|
||||
// 11. Solve the linear system A X = B.
|
||||
if (!pa)
|
||||
{
|
||||
#ifndef MFEM_USE_SUITESPARSE
|
||||
// Use a simple symmetric Gauss-Seidel preconditioner with PCG.
|
||||
GSSmoother M((SparseMatrix&)(*A));
|
||||
PCG(*A, M, B, X, 1, 200, 1e-12, 0.0);
|
||||
// 10. Define a simple symmetric Gauss-Seidel preconditioner and use it to
|
||||
// solve the system A X = B with PCG.
|
||||
GSSmoother M(A);
|
||||
PCG(A, M, B, X, 1, 200, 1e-12, 0.0);
|
||||
#else
|
||||
// If MFEM was compiled with SuiteSparse, use UMFPACK to solve the system.
|
||||
UMFPackSolver umf_solver;
|
||||
umf_solver.Control[UMFPACK_ORDERING] = UMFPACK_ORDERING_METIS;
|
||||
umf_solver.SetOperator(*A);
|
||||
umf_solver.Mult(B, X);
|
||||
// 10. If MFEM was compiled with SuiteSparse, use UMFPACK to solve the system.
|
||||
UMFPackSolver umf_solver;
|
||||
umf_solver.Control[UMFPACK_ORDERING] = UMFPACK_ORDERING_METIS;
|
||||
umf_solver.SetOperator(A);
|
||||
umf_solver.Mult(B, X);
|
||||
#endif
|
||||
}
|
||||
else // No preconditioning for now in partial assembly mode.
|
||||
{
|
||||
CG(*A, B, X, 1, 2000, 1e-12, 0.0);
|
||||
}
|
||||
|
||||
// 12. Recover the solution as a finite element grid function.
|
||||
// 11. Recover the solution as a finite element grid function.
|
||||
a->RecoverFEMSolution(X, *b, x);
|
||||
|
||||
// 13. Switch back to the host.
|
||||
Device::Disable();
|
||||
|
||||
// 14. Save the refined mesh and the solution. This output can be viewed later
|
||||
// 12. Save the refined mesh and the solution. This output can be viewed later
|
||||
// using GLVis: "glvis -m refined.mesh -g sol.gf".
|
||||
ofstream mesh_ofs("refined.mesh");
|
||||
mesh_ofs.precision(8);
|
||||
@@ -215,7 +179,7 @@ int main(int argc, char *argv[])
|
||||
sol_ofs.precision(8);
|
||||
x.Save(sol_ofs);
|
||||
|
||||
// 15. Send the solution by socket to a GLVis server.
|
||||
// 13. Send the solution by socket to a GLVis server.
|
||||
if (visualization)
|
||||
{
|
||||
char vishost[] = "localhost";
|
||||
@@ -225,7 +189,7 @@ int main(int argc, char *argv[])
|
||||
sol_sock << "solution\n" << *mesh << x << flush;
|
||||
}
|
||||
|
||||
// 16. Free the used memory.
|
||||
// 14. Free the used memory.
|
||||
delete a;
|
||||
delete b;
|
||||
delete fespace;
|
||||
|
||||
@@ -7,7 +7,6 @@
|
||||
// ex10 -m ../data/beam-tri.mesh -s 3 -r 2 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-hex.mesh -s 2 -r 1 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-tet.mesh -s 2 -r 1 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-wedge.mesh -s 2 -r 1 -o 2 -dt 3
|
||||
// ex10 -m ../data/beam-quad.mesh -s 14 -r 2 -o 2 -dt 0.03 -vs 20
|
||||
// ex10 -m ../data/beam-hex.mesh -s 14 -r 1 -o 2 -dt 0.05 -vs 20
|
||||
// ex10 -m ../data/beam-quad-amr.mesh -s 3 -r 2 -o 2 -dt 3
|
||||
|
||||
@@ -7,7 +7,6 @@
|
||||
// mpirun -np 4 ex10p -m ../data/beam-tri.mesh -s 3 -rs 2 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-hex.mesh -s 2 -rs 1 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-tet.mesh -s 2 -rs 1 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-wedge.mesh -s 2 -rs 1 -dt 3
|
||||
// mpirun -np 4 ex10p -m ../data/beam-quad.mesh -s 14 -rs 2 -dt 0.03 -vs 20
|
||||
// mpirun -np 4 ex10p -m ../data/beam-hex.mesh -s 14 -rs 1 -dt 0.05 -vs 20
|
||||
// mpirun -np 4 ex10p -m ../data/beam-quad-amr.mesh -s 3 -rs 2 -dt 3
|
||||
|
||||
+2
-9
@@ -4,11 +4,8 @@
|
||||
//
|
||||
// Sample runs: mpirun -np 4 ex11p -m ../data/square-disc.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/star.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/star-mixed.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/escher.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/fichera.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/fichera-mixed.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/toroid-wedge.mesh -o 2
|
||||
// mpirun -np 4 ex11p -m ../data/square-disc-p2.vtk -o 2
|
||||
// mpirun -np 4 ex11p -m ../data/square-disc-p3.mesh -o 3
|
||||
// mpirun -np 4 ex11p -m ../data/square-disc-nurbs.mesh -o -1
|
||||
@@ -18,11 +15,6 @@
|
||||
// mpirun -np 4 ex11p -m ../data/star-surf.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/square-disc-surf.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/inline-segment.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/inline-quad.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/inline-tri.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/inline-hex.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/inline-tet.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/inline-wedge.mesh -s 83
|
||||
// mpirun -np 4 ex11p -m ../data/amr-quad.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/amr-hex.mesh
|
||||
// mpirun -np 4 ex11p -m ../data/mobius-strip.mesh -n 8
|
||||
@@ -261,7 +253,8 @@ int main(int argc, char *argv[])
|
||||
strumpack->SetPrintSolveStatistics(false);
|
||||
strumpack->SetKrylovSolver(strumpack::KrylovSolver::DIRECT);
|
||||
strumpack->SetReorderingStrategy(strumpack::ReorderingStrategy::METIS);
|
||||
strumpack->DisableMatching();
|
||||
strumpack->SetMC64Job(strumpack::MC64Job::NONE);
|
||||
// strumpack->SetSymmetricPattern(true);
|
||||
strumpack->SetOperator(*Arow);
|
||||
strumpack->SetFromCommandLine();
|
||||
precond = strumpack;
|
||||
|
||||
+2
-3
@@ -5,10 +5,9 @@
|
||||
// Sample runs:
|
||||
// mpirun -np 4 ex12p -m ../data/beam-tri.mesh
|
||||
// mpirun -np 4 ex12p -m ../data/beam-quad.mesh
|
||||
// mpirun -np 4 ex12p -m ../data/beam-tet.mesh -s 79 -n 10 -o 2 -elast
|
||||
// mpirun -np 4 ex12p -m ../data/beam-tet.mesh -n 10 -o 2 -elast
|
||||
// mpirun -np 4 ex12p -m ../data/beam-hex.mesh -s 3876
|
||||
// mpirun -np 4 ex12p -m ../data/beam-wedge.mesh -s 79
|
||||
// mpirun -np 4 ex12p -m ../data/beam-tri.mesh -s 3876 -o 2 -sys
|
||||
// mpirun -np 4 ex12p -m ../data/beam-tri.mesh -o 2 -sys
|
||||
// mpirun -np 4 ex12p -m ../data/beam-quad.mesh -s 4526 -n 6 -o 3 -elast
|
||||
// mpirun -np 4 ex12p -m ../data/beam-quad-nurbs.mesh
|
||||
// mpirun -np 4 ex12p -m ../data/beam-hex-nurbs.mesh
|
||||
|
||||
@@ -4,10 +4,8 @@
|
||||
//
|
||||
// Sample runs: ex14 -m ../data/inline-quad.mesh -o 0
|
||||
// ex14 -m ../data/star.mesh -r 4 -o 2
|
||||
// ex14 -m ../data/star-mixed.mesh -r 4 -o 2
|
||||
// ex14 -m ../data/escher.mesh -s 1
|
||||
// ex14 -m ../data/fichera.mesh -s 1 -k 1
|
||||
// ex14 -m ../data/fichera-mixed.mesh -s 1 -k 1
|
||||
// ex14 -m ../data/square-disc-p2.vtk -r 3 -o 2
|
||||
// ex14 -m ../data/square-disc-p3.mesh -r 2 -o 3
|
||||
// ex14 -m ../data/square-disc-nurbs.mesh -o 1
|
||||
|
||||
@@ -4,10 +4,8 @@
|
||||
//
|
||||
// Sample runs: mpirun -np 4 ex14p -m ../data/inline-quad.mesh -o 0
|
||||
// mpirun -np 4 ex14p -m ../data/star.mesh -o 2
|
||||
// mpirun -np 4 ex14p -m ../data/star-mixed.mesh -o 2
|
||||
// mpirun -np 4 ex14p -m ../data/escher.mesh -s 1
|
||||
// mpirun -np 4 ex14p -m ../data/fichera.mesh -s 1 -k 1
|
||||
// mpirun -np 4 ex14p -m ../data/fichera-mixed.mesh -s 1 -k 1
|
||||
// mpirun -np 4 ex14p -m ../data/square-disc-p2.vtk -o 2
|
||||
// mpirun -np 4 ex14p -m ../data/square-disc-p3.mesh -o 3
|
||||
// mpirun -np 4 ex14p -m ../data/square-disc-nurbs.mesh -o 1
|
||||
|
||||
@@ -135,8 +135,6 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
mesh.UniformRefinement();
|
||||
}
|
||||
// Make sure tet-only meshes are marked for local refinement.
|
||||
mesh.Finalize(true);
|
||||
|
||||
// 4. All boundary attributes will be used for essential (Dirichlet) BC.
|
||||
MFEM_VERIFY(mesh.bdr_attributes.Size() > 0,
|
||||
|
||||
@@ -151,8 +151,6 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
mesh->UniformRefinement();
|
||||
}
|
||||
// Make sure tet-only meshes are marked for local refinement.
|
||||
mesh->Finalize(true);
|
||||
|
||||
// 5. Define a parallel mesh by partitioning the serial mesh. Once the
|
||||
// parallel mesh is defined, the serial mesh can be deleted.
|
||||
|
||||
@@ -10,7 +10,6 @@
|
||||
// ex16 -s 3 -a 0.5 -k 0.5 -o 4
|
||||
// ex16 -s 14 -dt 1.0e-4 -tf 4.0e-2 -vs 40
|
||||
// ex16 -m ../data/fichera-q2.mesh
|
||||
// ex16 -m ../data/fichera-mixed.mesh
|
||||
// ex16 -m ../data/escher.mesh
|
||||
// ex16 -m ../data/beam-tet.mesh -tf 10 -dt 0.1
|
||||
// ex16 -m ../data/amr-quad.mesh -o 4 -r 0
|
||||
|
||||
@@ -10,7 +10,6 @@
|
||||
// mpirun -np 8 ex16p -s 3 -a 0.5 -k 0.5 -o 4
|
||||
// mpirun -np 4 ex16p -s 14 -dt 1.0e-4 -tf 4.0e-2 -vs 40
|
||||
// mpirun -np 16 ex16p -m ../data/fichera-q2.mesh
|
||||
// mpirun -np 16 ex16p -m ../data/fichera-mixed.mesh
|
||||
// mpirun -np 16 ex16p -m ../data/escher-p2.mesh
|
||||
// mpirun -np 8 ex16p -m ../data/beam-tet.mesh -tf 10 -dt 0.1
|
||||
// mpirun -np 4 ex16p -m ../data/amr-quad.mesh -o 4 -rs 0 -rp 0
|
||||
|
||||
@@ -8,7 +8,6 @@
|
||||
// ex17 -m ../data/beam-quad.mesh
|
||||
// ex17 -m ../data/beam-tet.mesh
|
||||
// ex17 -m ../data/beam-hex.mesh
|
||||
// ex17 -m ../data/beam-wedge.mesh
|
||||
// ex17 -m ../data/beam-quad.mesh -r 2 -o 3
|
||||
// ex17 -m ../data/beam-quad.mesh -r 2 -o 2 -a 1 -k 1
|
||||
// ex17 -m ../data/beam-hex.mesh -r 2 -o 2
|
||||
|
||||
@@ -8,7 +8,6 @@
|
||||
// mpirun -np 4 ex17p -m ../data/beam-quad.mesh
|
||||
// mpirun -np 4 ex17p -m ../data/beam-tet.mesh
|
||||
// mpirun -np 4 ex17p -m ../data/beam-hex.mesh
|
||||
// mpirun -np 4 ex17p -m ../data/beam-wedge.mesh
|
||||
// mpirun -np 4 ex17p -m ../data/beam-quad.mesh -rs 2 -rp 2 -o 3 -elast
|
||||
// mpirun -np 4 ex17p -m ../data/beam-quad.mesh -rs 2 -rp 3 -o 2 -a 1 -k 1
|
||||
// mpirun -np 4 ex17p -m ../data/beam-hex.mesh -rs 2 -rp 1 -o 2
|
||||
|
||||
+2
-1
@@ -509,7 +509,8 @@ bool StateIsPhysical(const Vector &state, const int dim)
|
||||
// Initial condition
|
||||
void InitialCondition(const Vector &x, Vector &y)
|
||||
{
|
||||
MFEM_ASSERT(x.Size() == 2, "");
|
||||
const int dim = x.Size();
|
||||
MFEM_ASSERT(dim == 2, "");
|
||||
|
||||
double radius = 0, Minf = 0, beta = 0;
|
||||
if (problem == 1)
|
||||
|
||||
@@ -7,7 +7,6 @@
|
||||
// ex19 -m ../data/beam-tri.mesh
|
||||
// ex19 -m ../data/beam-hex.mesh
|
||||
// ex19 -m ../data/beam-tet.mesh
|
||||
// ex19 -m ../data/beam-wedge.mesh
|
||||
//
|
||||
// Description: This examples solves a quasi-static incompressible nonlinear
|
||||
// elasticity problem of the form 0 = H(x), where H is an
|
||||
|
||||
@@ -7,7 +7,6 @@
|
||||
// mpirun -np 2 ex19p -m ../data/beam-tri.mesh
|
||||
// mpirun -np 2 ex19p -m ../data/beam-hex.mesh
|
||||
// mpirun -np 2 ex19p -m ../data/beam-tet.mesh
|
||||
// mpirun -np 2 ex19p -m ../data/beam-wedge.mesh
|
||||
//
|
||||
// Description: This examples solves a quasi-static incompressible nonlinear
|
||||
// elasticity problem of the form 0 = H(x), where H is an
|
||||
|
||||
+27
-50
@@ -4,19 +4,14 @@
|
||||
//
|
||||
// Sample runs: mpirun -np 4 ex1p -m ../data/square-disc.mesh
|
||||
// mpirun -np 4 ex1p -m ../data/star.mesh
|
||||
// mpirun -np 4 ex1p -m ../data/star-mixed.mesh
|
||||
// mpirun -np 4 ex1p -m ../data/escher.mesh
|
||||
// mpirun -np 4 ex1p -m ../data/fichera.mesh
|
||||
// mpirun -np 4 ex1p -m ../data/fichera-mixed.mesh
|
||||
// mpirun -np 4 ex1p -m ../data/toroid-wedge.mesh
|
||||
// mpirun -np 4 ex1p -m ../data/square-disc-p2.vtk -o 2
|
||||
// mpirun -np 4 ex1p -m ../data/square-disc-p3.mesh -o 3
|
||||
// mpirun -np 4 ex1p -m ../data/square-disc-nurbs.mesh -o -1
|
||||
// mpirun -np 4 ex1p -m ../data/star-mixed-p2.mesh -o 2
|
||||
// mpirun -np 4 ex1p -m ../data/disc-nurbs.mesh -o -1
|
||||
// mpirun -np 4 ex1p -m ../data/pipe-nurbs.mesh -o -1
|
||||
// mpirun -np 4 ex1p -m ../data/ball-nurbs.mesh -o 2
|
||||
// mpirun -np 4 ex1p -m ../data/fichera-mixed-p2.mesh -o 2
|
||||
// mpirun -np 4 ex1p -m ../data/star-surf.mesh
|
||||
// mpirun -np 4 ex1p -m ../data/square-disc-surf.mesh
|
||||
// mpirun -np 4 ex1p -m ../data/inline-segment.mesh
|
||||
@@ -25,11 +20,6 @@
|
||||
// mpirun -np 4 ex1p -m ../data/mobius-strip.mesh
|
||||
// mpirun -np 4 ex1p -m ../data/mobius-strip.mesh -o -1 -sc
|
||||
//
|
||||
// Device sample runs:
|
||||
// mpirun -np 4 ex1p -pa -d cuda
|
||||
// mpirun -np 4 ex1p -pa -d occa-cuda
|
||||
// mpirun -np 4 ex1p -pa -d raja-omp
|
||||
//
|
||||
// Description: This example code demonstrates the use of MFEM to define a
|
||||
// simple finite element discretization of the Laplace problem
|
||||
// -Delta u = 1 with homogeneous Dirichlet boundary conditions.
|
||||
@@ -64,9 +54,7 @@ int main(int argc, char *argv[])
|
||||
const char *mesh_file = "../data/star.mesh";
|
||||
int order = 1;
|
||||
bool static_cond = false;
|
||||
bool pa = false;
|
||||
const char *device = "cpu";
|
||||
bool visualization = true;
|
||||
bool visualization = 1;
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&mesh_file, "-m", "--mesh",
|
||||
@@ -76,10 +64,6 @@ int main(int argc, char *argv[])
|
||||
" isoparametric space.");
|
||||
args.AddOption(&static_cond, "-sc", "--static-condensation", "-no-sc",
|
||||
"--no-static-condensation", "Enable static condensation.");
|
||||
args.AddOption(&pa, "-pa", "--partial-assembly", "-no-pa",
|
||||
"--no-partial-assembly", "Enable Partial Assembly.");
|
||||
args.AddOption(&device, "-d", "--device",
|
||||
"Device configuration string, see Device::Configure().");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
@@ -177,58 +161,49 @@ int main(int argc, char *argv[])
|
||||
b->AddDomainIntegrator(new DomainLFIntegrator(one));
|
||||
b->Assemble();
|
||||
|
||||
// 9. Set device config parameters from the command line options and switch
|
||||
// to working on the device.
|
||||
Device::Configure(device);
|
||||
if (myid == 0) { Device::Print(); }
|
||||
Device::Enable();
|
||||
|
||||
// 10. Define the solution vector x as a parallel finite element grid function
|
||||
// corresponding to fespace. Initialize x with initial guess of zero,
|
||||
// which satisfies the boundary conditions.
|
||||
// 9. Define the solution vector x as a parallel finite element grid function
|
||||
// corresponding to fespace. Initialize x with initial guess of zero,
|
||||
// which satisfies the boundary conditions.
|
||||
ParGridFunction x(fespace);
|
||||
x = 0.0;
|
||||
|
||||
// 11. Set up the parallel bilinear form a(.,.) on the finite element space
|
||||
// 10. Set up the parallel bilinear form a(.,.) on the finite element space
|
||||
// corresponding to the Laplacian operator -Delta, by adding the Diffusion
|
||||
// domain integrator.
|
||||
ParBilinearForm *a = new ParBilinearForm(fespace);
|
||||
if (pa) { a->SetAssemblyLevel(AssemblyLevel::PARTIAL); }
|
||||
a->AddDomainIntegrator(new DiffusionIntegrator(one));
|
||||
|
||||
// 12. Assemble the parallel bilinear form and the corresponding linear
|
||||
// 11. Assemble the parallel bilinear form and the corresponding linear
|
||||
// system, applying any necessary transformations such as: parallel
|
||||
// assembly, eliminating boundary conditions, applying conforming
|
||||
// constraints for non-conforming AMR, static condensation, etc.
|
||||
if (static_cond) { a->EnableStaticCondensation(); }
|
||||
a->Assemble();
|
||||
|
||||
OperatorPtr A;
|
||||
HypreParMatrix A;
|
||||
Vector B, X;
|
||||
a->FormLinearSystem(ess_tdof_list, x, *b, A, X, B);
|
||||
|
||||
// 13. Solve the linear system A X = B.
|
||||
// * With full assembly, use the BoomerAMG preconditioner from hypre.
|
||||
// * With partial assembly, use no preconditioner, for now.
|
||||
Solver *prec = NULL;
|
||||
if (!pa) { prec = new HypreBoomerAMG; }
|
||||
CGSolver cg(MPI_COMM_WORLD);
|
||||
cg.SetRelTol(1e-12);
|
||||
cg.SetMaxIter(2000);
|
||||
cg.SetPrintLevel(1);
|
||||
if (prec) { cg.SetPreconditioner(*prec); }
|
||||
cg.SetOperator(*A);
|
||||
cg.Mult(B, X);
|
||||
delete prec;
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "Size of linear system: " << A.GetGlobalNumRows() << endl;
|
||||
}
|
||||
|
||||
// 14. Recover the parallel grid function corresponding to X. This is the
|
||||
// 12. Define and apply a parallel PCG solver for AX=B with the BoomerAMG
|
||||
// preconditioner from hypre.
|
||||
HypreSolver *amg = new HypreBoomerAMG(A);
|
||||
HyprePCG *pcg = new HyprePCG(A);
|
||||
pcg->SetTol(1e-12);
|
||||
pcg->SetMaxIter(200);
|
||||
pcg->SetPrintLevel(2);
|
||||
pcg->SetPreconditioner(*amg);
|
||||
pcg->Mult(B, X);
|
||||
|
||||
// 13. Recover the parallel grid function corresponding to X. This is the
|
||||
// local finite element solution on each processor.
|
||||
a->RecoverFEMSolution(X, *b, x);
|
||||
|
||||
// 15. Switch back to the host.
|
||||
Device::Disable();
|
||||
|
||||
// 16. Save the refined mesh and the solution in parallel. This output can
|
||||
// 14. Save the refined mesh and the solution in parallel. This output can
|
||||
// be viewed later using GLVis: "glvis -np <np> -m mesh -g sol".
|
||||
{
|
||||
ostringstream mesh_name, sol_name;
|
||||
@@ -244,7 +219,7 @@ int main(int argc, char *argv[])
|
||||
x.Save(sol_ofs);
|
||||
}
|
||||
|
||||
// 17. Send the solution by socket to a GLVis server.
|
||||
// 15. Send the solution by socket to a GLVis server.
|
||||
if (visualization)
|
||||
{
|
||||
char vishost[] = "localhost";
|
||||
@@ -255,7 +230,9 @@ int main(int argc, char *argv[])
|
||||
sol_sock << "solution\n" << *pmesh << x << flush;
|
||||
}
|
||||
|
||||
// 18. Free the used memory.
|
||||
// 16. Free the used memory.
|
||||
delete pcg;
|
||||
delete amg;
|
||||
delete a;
|
||||
delete b;
|
||||
delete fespace;
|
||||
|
||||
@@ -6,7 +6,6 @@
|
||||
// ex2 -m ../data/beam-quad.mesh
|
||||
// ex2 -m ../data/beam-tet.mesh
|
||||
// ex2 -m ../data/beam-hex.mesh
|
||||
// ex2 -m ../data/beam-wedge.mesh
|
||||
// ex2 -m ../data/beam-quad.mesh -o 3 -sc
|
||||
// ex2 -m ../data/beam-quad-nurbs.mesh
|
||||
// ex2 -m ../data/beam-hex-nurbs.mesh
|
||||
|
||||
@@ -1,298 +0,0 @@
|
||||
// MFEM Example 20
|
||||
//
|
||||
// Compile with: make ex20
|
||||
//
|
||||
// Sample runs: ex20
|
||||
//
|
||||
// Description: This example demonstrates the use of the variable order,
|
||||
// symplectic ODE integration algorithm. Symplectic integration
|
||||
// algorithms are designed to conserve energy when integrating, in
|
||||
// time, systems of ODEs which are derived from Hamiltonian
|
||||
// systems.
|
||||
//
|
||||
// Hamiltonian systems define the energy of a system as a function
|
||||
// of time (t), a set of generalized coordinates (q), and their
|
||||
// corresponding generalized momenta (p).
|
||||
//
|
||||
// H(q,p,t) = T(p) + V(q,t)
|
||||
//
|
||||
// Hamilton's equations then specify how q and p evolve in time:
|
||||
//
|
||||
// dq/dt = dH/dp
|
||||
// dp/dt = -dH/dq
|
||||
//
|
||||
// To use the symplectic integration classes we need to define an
|
||||
// mfem::Operator P which evaluates the action of dH/dp, and an
|
||||
// mfem::TimeDependentOperator F which computes -dH/dq.
|
||||
//
|
||||
// This example offers five simple 1D Hamiltonians:
|
||||
// 0) Simple Harmonic Oscillator (mass on a spring)
|
||||
// H = ( p^2 / m + q^2 / k ) / 2
|
||||
// 1) Pendulum
|
||||
// H = ( p^2 / m - k ( 1 - cos(q) ) ) / 2
|
||||
// 2) Gaussian Potential Well
|
||||
// H = ( p^2 / m ) / 2 - k exp(-q^2 / 2)
|
||||
// 3) Quartic Potential
|
||||
// H = ( p^2 / m + k ( 1 + q^2 ) q^2 ) / 2
|
||||
// 4) Negative Quartic Potential
|
||||
// H = ( p^2 / m + k ( 1 - q^2 /8 ) q^2 ) / 2
|
||||
//
|
||||
// In all cases these Hamiltonians are shifted by constant values
|
||||
// so that the energy will remain positive. The mean and standard
|
||||
// deviation of the computed energies at each time step are
|
||||
// displayed upon completion.
|
||||
//
|
||||
// We then use GLVis to visualize the results in a non-standard way
|
||||
// by defining the axes to be q, p, and t rather than x, y, and z.
|
||||
// In this space we build a ribbon-like mesh with nodes at (0,0,t)
|
||||
// and (q,p,t). Finally we plot the energy as a function of time
|
||||
// as a scalar field on this ribbon-like mesh.
|
||||
//
|
||||
// For a more traditional plot of the results, including q, p, and
|
||||
// H, can be obtained by selecting the "-gp" option. This creates
|
||||
// a data file and input deck for the GnuPlot application (not
|
||||
// included with MFEM). To visualize these results on most Linux
|
||||
// systems type the command "gnuplot gnuplot_ex20.inp". The data
|
||||
// file, named "ex20.dat", should be simple enough to display with
|
||||
// other plotting programs as well.
|
||||
|
||||
#include "mfem.hpp"
|
||||
#include <fstream>
|
||||
#include <iostream>
|
||||
|
||||
using namespace std;
|
||||
using namespace mfem;
|
||||
|
||||
// Constants used in the Hamiltonian
|
||||
static int prob_ = 0;
|
||||
static double m_ = 1.0;
|
||||
static double k_ = 1.0;
|
||||
|
||||
// Hamiltonian functional, see below for implementation
|
||||
double hamiltonian(double q, double p, double t);
|
||||
|
||||
class GradT : public Operator
|
||||
{
|
||||
public:
|
||||
GradT() : Operator(1) {}
|
||||
void Mult(const Vector &x, Vector &y) const { y.Set(1.0/m_, x); }
|
||||
};
|
||||
|
||||
class NegGradV : public TimeDependentOperator
|
||||
{
|
||||
public:
|
||||
NegGradV() : TimeDependentOperator(1) {}
|
||||
void Mult(const Vector &x, Vector &y) const;
|
||||
};
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
// 1. Parse command-line options.
|
||||
int order = 1;
|
||||
int nsteps = 100;
|
||||
double dt = 0.1;
|
||||
bool visualization = true;
|
||||
bool gnuplot = false;
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Time integration order.");
|
||||
args.AddOption(&prob_, "-p", "--problem-type",
|
||||
"Problem Type:\n"
|
||||
"\t 0 - Simple Harmonic Oscillator\n"
|
||||
"\t 1 - Pendulum\n"
|
||||
"\t 2 - Gaussian Potential Well\n"
|
||||
"\t 3 - Quartic Potential\n"
|
||||
"\t 4 - Negative Quartic Potential");
|
||||
args.AddOption(&nsteps, "-n", "--number-of-steps",
|
||||
"Number of time steps.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
"Time step size.");
|
||||
args.AddOption(&m_, "-m", "--mass",
|
||||
"Mass.");
|
||||
args.AddOption(&k_, "-k", "--spring-const",
|
||||
"Spring constant.");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
args.AddOption(&gnuplot, "-gp", "--gnuplot", "-no-gp", "--no-gnuplot",
|
||||
"Enable or disable GnuPlot visualization.");
|
||||
args.Parse();
|
||||
if (!args.Good())
|
||||
{
|
||||
args.PrintUsage(cout);
|
||||
return 1;
|
||||
}
|
||||
args.PrintOptions(cout);
|
||||
|
||||
// 2. Create and Initialize the Symplectic Integration Solver
|
||||
SIAVSolver siaSolver(order);
|
||||
GradT P;
|
||||
NegGradV F;
|
||||
siaSolver.Init(P,F);
|
||||
|
||||
// 3. Set the initial conditions
|
||||
double t = 0.0;
|
||||
Vector q(1), p(1);
|
||||
Vector e(nsteps+1);
|
||||
q(0) = 0.0;
|
||||
p(0) = 1.0;
|
||||
|
||||
// 4. Prepare GnuPlot output file if needed
|
||||
ofstream ofs;
|
||||
if (gnuplot)
|
||||
{
|
||||
ofs.open("ex20.dat");
|
||||
ofs << t << "\t" << q(0) << "\t" << p(0) << endl;
|
||||
}
|
||||
|
||||
// 5. Create a Mesh for visualization in phase space
|
||||
int nverts = (visualization) ? 2*(nsteps+1) : 0;
|
||||
int nelems = (visualization) ? nsteps : 0;
|
||||
Mesh mesh(2, nverts, nelems, 0, 3);
|
||||
|
||||
int v[4];
|
||||
Vector x0(3); x0 = 0.0;
|
||||
Vector x1(3); x1 = 0.0;
|
||||
|
||||
// 6. Perform time-stepping
|
||||
double e_mean = 0.0;
|
||||
|
||||
for (int i = 0; i < nsteps; i++)
|
||||
{
|
||||
// 6a. Record initial state
|
||||
if (i == 0)
|
||||
{
|
||||
e[0] = hamiltonian(q(0),p(0),t);
|
||||
e_mean += e[0];
|
||||
|
||||
if (visualization)
|
||||
{
|
||||
x1[0] = q(0);
|
||||
x1[1] = p(0);
|
||||
x1[2] = 0.0;
|
||||
mesh.AddVertex(x0);
|
||||
mesh.AddVertex(x1);
|
||||
}
|
||||
}
|
||||
|
||||
// 6b. Advance the state of the system
|
||||
siaSolver.Step(q,p,t,dt);
|
||||
e[i+1] = hamiltonian(q(0),p(0),t);
|
||||
e_mean += e[i+1];
|
||||
|
||||
// 6c. Record the state of the system
|
||||
if (gnuplot)
|
||||
{
|
||||
ofs << t << "\t" << q(0) << "\t" << p(0) << "\t" << e[i+1] << endl;
|
||||
}
|
||||
|
||||
// 6d. Add results to GLVis visualization
|
||||
if (visualization)
|
||||
{
|
||||
x0[2] = t;
|
||||
x1[0] = q(0);
|
||||
x1[1] = p(0);
|
||||
x1[2] = t;
|
||||
mesh.AddVertex(x0);
|
||||
mesh.AddVertex(x1);
|
||||
v[0] = 2*i;
|
||||
v[1] = 2*(i+1);
|
||||
v[2] = 2*(i+1)+1;
|
||||
v[3] = 2*i+1;
|
||||
mesh.AddQuad(v);
|
||||
}
|
||||
}
|
||||
|
||||
// 7. Compute and display mean and standard deviation of the energy
|
||||
e_mean /= (nsteps + 1);
|
||||
double e_var = 0.0;
|
||||
for (int i=0; i<=nsteps; i++)
|
||||
{
|
||||
e_var += pow(e[i] - e_mean, 2);
|
||||
}
|
||||
e_var /= (nsteps + 1);
|
||||
double e_sd = sqrt(e_var);
|
||||
cout << endl << "Mean and standard deviation of the energy" << endl;
|
||||
cout << e_mean << "\t" << e_sd << endl;
|
||||
|
||||
// 8. Finalize the GnuPlot output
|
||||
if (gnuplot)
|
||||
{
|
||||
ofs.close();
|
||||
|
||||
ofs.open("gnuplot_ex20.inp");
|
||||
ofs << "plot 'ex20.dat' using 1:2 w l t 'q', "
|
||||
<< "'ex20.dat' using 1:3 w l t 'p', "
|
||||
<< "'ex20.dat' using 1:4 w l t 'H'" << endl;
|
||||
ofs.close();
|
||||
}
|
||||
|
||||
// 9. Finalize the GLVis output
|
||||
if (visualization)
|
||||
{
|
||||
H1_FECollection fec(order = 1, 2);
|
||||
FiniteElementSpace fespace(&mesh, &fec);
|
||||
GridFunction energy(&fespace);
|
||||
energy = 0.0;
|
||||
for (int i = 0; i <= nsteps; i++)
|
||||
{
|
||||
energy[2*i+0] = e[i];
|
||||
energy[2*i+1] = e[i];
|
||||
}
|
||||
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
socketstream sock(vishost, visport);
|
||||
sock.precision(8);
|
||||
sock << "solution\n" << mesh << energy
|
||||
<< "window_title 'Energy in Phase Space'\n"
|
||||
<< "keys\n maac\n" << "axis_labels 'q' 'p' 't'\n"<< flush;
|
||||
}
|
||||
}
|
||||
|
||||
double hamiltonian(double q, double p, double t)
|
||||
{
|
||||
double h = 1.0 - 0.5 / m_ + 0.5 * p * p / m_;
|
||||
switch (prob_)
|
||||
{
|
||||
case 1:
|
||||
h += k_ * (1.0 - cos(q));
|
||||
break;
|
||||
case 2:
|
||||
h += k_ * (1.0 - exp(-0.5 * q * q));
|
||||
break;
|
||||
case 3:
|
||||
h += 0.5 * k_ * (1.0 + q * q) * q * q;
|
||||
break;
|
||||
case 4:
|
||||
h += 0.5 * k_ * (1.0 - 0.125 * q * q) * q * q;
|
||||
break;
|
||||
default:
|
||||
h += 0.5 * k_ * q * q;
|
||||
break;
|
||||
}
|
||||
return h;
|
||||
}
|
||||
|
||||
void NegGradV::Mult(const Vector &x, Vector &y) const
|
||||
{
|
||||
switch (prob_)
|
||||
{
|
||||
case 1:
|
||||
y(0) = - k_* sin(x(0));
|
||||
break;
|
||||
case 2:
|
||||
y(0) = - k_ * x(0) * exp(-0.5 * x(0) * x(0));
|
||||
break;
|
||||
case 3:
|
||||
y(0) = - k_ * (1.0 + 2.0 * x(0) * x(0)) * x(0);
|
||||
break;
|
||||
case 4:
|
||||
y(0) = - k_ * (1.0 - 0.25 * x(0) * x(0)) * x(0);
|
||||
break;
|
||||
default:
|
||||
y(0) = - k_ * x(0);
|
||||
break;
|
||||
};
|
||||
}
|
||||
@@ -1,364 +0,0 @@
|
||||
// MFEM Example 20 - Parallel Version
|
||||
//
|
||||
// Compile with: make ex20p
|
||||
//
|
||||
// Sample runs: mpirun -np 4 ex20p
|
||||
//
|
||||
// Description: This example demonstrates the use of the variable order,
|
||||
// symplectic ODE integration algorithm. Symplectic integration
|
||||
// algorithms are designed to conserve energy when integrating, in
|
||||
// time, systems of ODEs which are derived from Hamiltonian
|
||||
// systems.
|
||||
//
|
||||
// Hamiltonian systems define the energy of a system as a function
|
||||
// of time (t), a set of generalized coordinates (q), and their
|
||||
// corresponding generalized momenta (p).
|
||||
//
|
||||
// H(q,p,t) = T(p) + V(q,t)
|
||||
//
|
||||
// Hamilton's equations then specify how q and p evolve in time:
|
||||
//
|
||||
// dq/dt = dH/dp
|
||||
// dp/dt = -dH/dq
|
||||
//
|
||||
// To use the symplectic integration classes we need to define an
|
||||
// mfem::Operator P which evaluates the action of dH/dp, and an
|
||||
// mfem::TimeDependentOperator F which computes -dH/dq.
|
||||
//
|
||||
// This example offers five simple 1D Hamiltonians:
|
||||
// 0) Simple Harmonic Oscillator (mass on a spring)
|
||||
// H = ( p^2 / m + q^2 / k ) / 2
|
||||
// 1) Pendulum
|
||||
// H = ( p^2 / m - k ( 1 - cos(q) ) ) / 2
|
||||
// 2) Gaussian Potential Well
|
||||
// H = ( p^2 / m ) / 2 - k exp(-q^2 / 2)
|
||||
// 3) Quartic Potential
|
||||
// H = ( p^2 / m + k ( 1 + q^2 ) q^2 ) / 2
|
||||
// 4) Negative Quartic Potential
|
||||
// H = ( p^2 / m + k ( 1 - q^2 /8 ) q^2 ) / 2
|
||||
//
|
||||
// In all cases these Hamiltonians are shifted by constant values
|
||||
// so that the energy will remain positive. The mean and standard
|
||||
// deviation of the computed energies at each time step are
|
||||
// displayed upon completion. When run in parallel the same
|
||||
// Hamiltonian system is evolved on each processor but starting
|
||||
// from different initial conditions.
|
||||
//
|
||||
// We then use GLVis to visualize the results in a non-standard way
|
||||
// by defining the axes to be q, p, and t rather than x, y, and z.
|
||||
// In this space we build a ribbon-like mesh on each processor with
|
||||
// nodes at (0,0,t) and (q,p,t). When these ribbons are bonded
|
||||
// together on the t-axis they resemble a Rotini pasta. Finally we
|
||||
// plot the energy as a function of time as a scalar field on this
|
||||
// Rotini-like mesh.
|
||||
//
|
||||
// For a more traditional plot of the results, including q, p, and
|
||||
// H from each processor, can be obtained by selecting the "-gp"
|
||||
// option. This creates a collection of data files and an input
|
||||
// deck for the GnuPlot application (not included with MFEM). To
|
||||
// visualize these results on most linux systems type the command
|
||||
// "gnuplot gnuplot_ex20p.inp". The data files, named
|
||||
// "ex20p_?????.dat", should be simple enough to display with other
|
||||
// plotting programs as well.
|
||||
|
||||
#include "mfem.hpp"
|
||||
#include <fstream>
|
||||
#include <iostream>
|
||||
|
||||
using namespace std;
|
||||
using namespace mfem;
|
||||
|
||||
// Constants used in the Hamiltonian
|
||||
static int prob_ = 0;
|
||||
static double m_ = 1.0;
|
||||
static double k_ = 1.0;
|
||||
|
||||
// Hamiltonian functional, see below for implementation
|
||||
double hamiltonian(double q, double p, double t);
|
||||
|
||||
class GradT : public Operator
|
||||
{
|
||||
public:
|
||||
GradT() : Operator(1) {}
|
||||
void Mult(const Vector &x, Vector &y) const { y.Set(1.0/m_, x); }
|
||||
};
|
||||
|
||||
class NegGradV : public TimeDependentOperator
|
||||
{
|
||||
public:
|
||||
NegGradV() : TimeDependentOperator(1) {}
|
||||
void Mult(const Vector &x, Vector &y) const;
|
||||
};
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
// 1. Initialize MPI.
|
||||
int num_procs, myid;
|
||||
MPI_Comm comm = MPI_COMM_WORLD;
|
||||
MPI_Init(&argc, &argv);
|
||||
MPI_Comm_size(comm, &num_procs);
|
||||
MPI_Comm_rank(comm, &myid);
|
||||
|
||||
// 2. Parse command-line options.
|
||||
int order = 1;
|
||||
int nsteps = 100;
|
||||
double dt = 0.1;
|
||||
bool visualization = true;
|
||||
bool gnuplot = false;
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Time integration order.");
|
||||
args.AddOption(&prob_, "-p", "--problem-type",
|
||||
"Problem Type:\n"
|
||||
"\t 0 - Simple Harmonic Oscillator\n"
|
||||
"\t 1 - Pendulum\n"
|
||||
"\t 2 - Gaussian Potential Well\n"
|
||||
"\t 3 - Quartic Potential\n"
|
||||
"\t 4 - Negative Quartic Potential");
|
||||
args.AddOption(&nsteps, "-n", "--number-of-steps",
|
||||
"Number of time steps.");
|
||||
args.AddOption(&dt, "-dt", "--time-step",
|
||||
"Time step size.");
|
||||
args.AddOption(&m_, "-m", "--mass",
|
||||
"Mass.");
|
||||
args.AddOption(&k_, "-k", "--spring-const",
|
||||
"Spring constant.");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
args.AddOption(&gnuplot, "-gp", "--gnuplot", "-no-gp", "--no-gnuplot",
|
||||
"Enable or disable GnuPlot visualization.");
|
||||
args.Parse();
|
||||
if (!args.Good())
|
||||
{
|
||||
if (myid == 0)
|
||||
{
|
||||
args.PrintUsage(cout);
|
||||
}
|
||||
MPI_Finalize();
|
||||
return 1;
|
||||
}
|
||||
if (myid == 0)
|
||||
{
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
|
||||
// 3. Create and Initialize the Symplectic Integration Solver
|
||||
SIAVSolver siaSolver(order);
|
||||
GradT P;
|
||||
NegGradV F;
|
||||
siaSolver.Init(P,F);
|
||||
|
||||
// 4. Set the initial conditions
|
||||
double t = 0.0;
|
||||
Vector q(1), p(1);
|
||||
Vector e(nsteps+1);
|
||||
q(0) = sin(2.0*M_PI*(double)myid/num_procs);
|
||||
p(0) = cos(2.0*M_PI*(double)myid/num_procs);
|
||||
|
||||
// 5. Prepare GnuPlot output file if needed
|
||||
ostringstream oss;
|
||||
ofstream ofs;
|
||||
if (gnuplot)
|
||||
{
|
||||
oss << "ex20p_" << setfill('0') << setw(5) << myid << ".dat";
|
||||
ofs.open(oss.str().c_str());
|
||||
ofs << t << "\t" << q(0) << "\t" << p(0) << endl;
|
||||
}
|
||||
|
||||
// 6. Create a Mesh for visualization in phase space
|
||||
int nverts = (visualization) ? (num_procs+1)*(nsteps+1) : 0;
|
||||
int nelems = (visualization) ? (nsteps * num_procs) : 0;
|
||||
Mesh mesh(2, nverts, nelems, 0, 3);
|
||||
|
||||
int *part = (visualization) ? (new int[nelems]) : NULL;
|
||||
int v[4];
|
||||
Vector x0(3); x0 = 0.0;
|
||||
Vector x1(3); x1 = 0.0;
|
||||
|
||||
// 7. Perform time-stepping
|
||||
double e_mean = 0.0;
|
||||
|
||||
for (int i = 0; i < nsteps; i++)
|
||||
{
|
||||
// 7a. Record initial state
|
||||
if (i == 0)
|
||||
{
|
||||
e[0] = hamiltonian(q(0),p(0),t);
|
||||
e_mean += e[0];
|
||||
|
||||
if (visualization)
|
||||
{
|
||||
mesh.AddVertex(x0);
|
||||
for (int j = 0; j < num_procs; j++)
|
||||
{
|
||||
x1[0] = q(0);
|
||||
x1[1] = p(0);
|
||||
x1[2] = 0.0;
|
||||
mesh.AddVertex(x1);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// 7b. Advance the state of the system
|
||||
siaSolver.Step(q,p,t,dt);
|
||||
e[i+1] = hamiltonian(q(0),p(0),t);
|
||||
e_mean += e[i+1];
|
||||
|
||||
// 7c. Record the state of the system
|
||||
if (gnuplot)
|
||||
{
|
||||
ofs << t << "\t" << q(0) << "\t" << p(0) << "\t" << e[i+1] << endl;
|
||||
}
|
||||
|
||||
// 7d. Add results to GLVis visualization
|
||||
if (visualization)
|
||||
{
|
||||
x0[2] = t;
|
||||
mesh.AddVertex(x0);
|
||||
for (int j = 0; j < num_procs; j++)
|
||||
{
|
||||
x1[0] = q(0);
|
||||
x1[1] = p(0);
|
||||
x1[2] = t;
|
||||
mesh.AddVertex(x1);
|
||||
v[0] = (num_procs + 1) * i;
|
||||
v[1] = (num_procs + 1) * (i + 1);
|
||||
v[2] = (num_procs + 1) * (i + 1) + j + 1;
|
||||
v[3] = (num_procs + 1) * i + j + 1;
|
||||
mesh.AddQuad(v);
|
||||
part[num_procs * i + j] = j;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// 8. Compute and display mean and standard deviation of the energy
|
||||
e_mean /= (nsteps + 1);
|
||||
double e_var = 0.0;
|
||||
for (int i = 0; i <= nsteps; i++)
|
||||
{
|
||||
e_var += pow(e[i] - e_mean, 2);
|
||||
}
|
||||
e_var /= (nsteps + 1);
|
||||
double e_sd = sqrt(e_var);
|
||||
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << endl << "Mean and standard deviation of the energy" << endl;
|
||||
}
|
||||
for (int i = 0; i < num_procs; i++)
|
||||
{
|
||||
if (myid == i)
|
||||
{
|
||||
cout << myid << ": " << e_mean << "\t" << e_sd << endl;
|
||||
}
|
||||
MPI_Barrier(comm);
|
||||
}
|
||||
|
||||
// 9. Finalize the GnuPlot output
|
||||
if (gnuplot)
|
||||
{
|
||||
ofs.close();
|
||||
if (myid == 0)
|
||||
{
|
||||
ofs.open("gnuplot_ex20p.inp");
|
||||
for (int i = 0; i < num_procs; i++)
|
||||
{
|
||||
ostringstream ossi;
|
||||
ossi << "ex20p_" << setfill('0') << setw(5) << i << ".dat";
|
||||
if (i == 0)
|
||||
{
|
||||
ofs << "plot";
|
||||
}
|
||||
ofs << " '" << ossi.str() << "' using 1:2 w l t 'q" << i << "',"
|
||||
<< " '" << ossi.str() << "' using 1:3 w l t 'p" << i << "',"
|
||||
<< " '" << ossi.str() << "' using 1:4 w l t 'H" << i << "'";
|
||||
if (i < num_procs-1)
|
||||
{
|
||||
ofs << ",";
|
||||
}
|
||||
else
|
||||
{
|
||||
ofs << ";" << endl;
|
||||
}
|
||||
}
|
||||
ofs.close();
|
||||
}
|
||||
}
|
||||
|
||||
// 10. Finalize the GLVis output
|
||||
if (visualization)
|
||||
{
|
||||
mesh.FinalizeQuadMesh(1);
|
||||
ParMesh pmesh(comm, mesh, part);
|
||||
delete [] part;
|
||||
|
||||
H1_FECollection fec(order = 1, 2);
|
||||
ParFiniteElementSpace fespace(&pmesh, &fec);
|
||||
ParGridFunction energy(&fespace);
|
||||
energy = 0.0;
|
||||
for (int i = 0; i <= nsteps; i++)
|
||||
{
|
||||
energy[2*i+0] = e[i];
|
||||
energy[2*i+1] = e[i];
|
||||
}
|
||||
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
socketstream sock(vishost, visport);
|
||||
sock.precision(8);
|
||||
sock << "parallel " << num_procs << " " << myid << "\n"
|
||||
<< "solution\n" << pmesh << energy
|
||||
<< "window_title 'Energy in Phase Space'\n"
|
||||
<< "keys\n maac\n" << "axis_labels 'q' 'p' 't'\n"<< flush;
|
||||
}
|
||||
|
||||
MPI_Finalize();
|
||||
}
|
||||
|
||||
double hamiltonian(double q, double p, double t)
|
||||
{
|
||||
double h = 1.0 - 0.5 / m_ + 0.5 * p * p / m_;
|
||||
switch (prob_)
|
||||
{
|
||||
case 1:
|
||||
h += k_ * (1.0 - cos(q));
|
||||
break;
|
||||
case 2:
|
||||
h += k_ * (1.0 - exp(-0.5 * q * q));
|
||||
break;
|
||||
case 3:
|
||||
h += 0.5 * k_ * (1.0 + q * q) * q * q;
|
||||
break;
|
||||
case 4:
|
||||
h += 0.5 * k_ * (1.0 - 0.125 * q * q) * q * q;
|
||||
break;
|
||||
default:
|
||||
h += 0.5 * k_ * q * q;
|
||||
break;
|
||||
}
|
||||
return h;
|
||||
}
|
||||
|
||||
void NegGradV::Mult(const Vector &x, Vector &y) const
|
||||
{
|
||||
switch (prob_)
|
||||
{
|
||||
case 1:
|
||||
y(0) = - k_* sin(x(0));
|
||||
break;
|
||||
case 2:
|
||||
y(0) = - k_ * x(0) * exp(-0.5 * x(0) * x(0));
|
||||
break;
|
||||
case 3:
|
||||
y(0) = - k_ * (1.0 + 2.0 * x(0) * x(0)) * x(0);
|
||||
break;
|
||||
case 4:
|
||||
y(0) = - k_ * (1.0 - 0.25 * x(0) * x(0)) * x(0);
|
||||
break;
|
||||
default:
|
||||
y(0) = - k_ * x(0);
|
||||
break;
|
||||
};
|
||||
}
|
||||
@@ -1,310 +0,0 @@
|
||||
// MFEM Example 22
|
||||
//
|
||||
// Compile with: make ex22
|
||||
//
|
||||
// Sample runs: ex22
|
||||
// ex22 -o 3
|
||||
// ex22 -m ../data/beam-quad.mesh
|
||||
// ex22 -m ../data/beam-quad.mesh -o 3
|
||||
// ex22 -m ../data/beam-quad.mesh -o 3 -f 1
|
||||
// ex22 -m ../data/beam-tet.mesh
|
||||
// ex22 -m ../data/beam-tet.mesh -o 2
|
||||
// ex22 -m ../data/beam-hex.mesh
|
||||
// ex22 -m ../data/beam-hex.mesh -o 2
|
||||
//
|
||||
// Description: This is a version of Example 2 with a simple adaptive mesh
|
||||
// refinement loop. The problem being solved is again the linear
|
||||
// elasticity describing a multi-material cantilever beam.
|
||||
// The problem is solved on a sequence of meshes which
|
||||
// are locally refined in a conforming (triangles, tetrahedrons)
|
||||
// or non-conforming (quadrilaterals, hexahedra) manner according
|
||||
// to a simple ZZ error estimator.
|
||||
//
|
||||
// The example demonstrates MFEM's capability to work with both
|
||||
// conforming and nonconforming refinements, in 2D and 3D, on
|
||||
// linear and curved meshes. Interpolation of functions from
|
||||
// coarse to fine meshes, as well as persistent GLVis
|
||||
// visualization are also illustrated.
|
||||
//
|
||||
// We recommend viewing Examples 2 and 6 before viewing this
|
||||
// example.
|
||||
|
||||
#include "mfem.hpp"
|
||||
#include <fstream>
|
||||
#include <iostream>
|
||||
|
||||
using namespace std;
|
||||
using namespace mfem;
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
// 1. Parse command-line options.
|
||||
const char *mesh_file = "../data/beam-tri.mesh";
|
||||
int order = 1;
|
||||
bool static_cond = false;
|
||||
int flux_averaging = 0;
|
||||
bool visualization = 1;
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&mesh_file, "-m", "--mesh",
|
||||
"Mesh file to use.");
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Finite element order (polynomial degree).");
|
||||
args.AddOption(&static_cond, "-sc", "--static-condensation", "-no-sc",
|
||||
"--no-static-condensation", "Enable static condensation.");
|
||||
args.AddOption(&flux_averaging, "-f", "--flux-averaging",
|
||||
"Flux averaging: 0 - global, 1 - by mesh attribute.");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
args.Parse();
|
||||
if (!args.Good())
|
||||
{
|
||||
args.PrintUsage(cout);
|
||||
return 1;
|
||||
}
|
||||
args.PrintOptions(cout);
|
||||
|
||||
// 2. Read the mesh from the given mesh file. We can handle triangular,
|
||||
// quadrilateral, tetrahedral, and hexahedral meshes with the same code.
|
||||
Mesh mesh(mesh_file, 1, 1);
|
||||
int dim = mesh.Dimension();
|
||||
MFEM_VERIFY(mesh.SpaceDimension() == dim, "invalid mesh");
|
||||
|
||||
if (mesh.attributes.Max() < 2 || mesh.bdr_attributes.Max() < 2)
|
||||
{
|
||||
cerr << "\nInput mesh should have at least two materials and "
|
||||
<< "two boundary attributes! (See schematic in ex2.cpp)\n"
|
||||
<< endl;
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 3. Since a NURBS mesh can currently only be refined uniformly, we need to
|
||||
// convert it to a piecewise-polynomial curved mesh. First we refine the
|
||||
// NURBS mesh a bit more and then project the curvature to quadratic Nodes.
|
||||
if (mesh.NURBSext)
|
||||
{
|
||||
for (int i = 0; i < 2; i++)
|
||||
{
|
||||
mesh.UniformRefinement();
|
||||
}
|
||||
mesh.SetCurvature(2);
|
||||
}
|
||||
|
||||
// 4. Define a finite element space on the mesh. The polynomial order is
|
||||
// one (linear) by default, but this can be changed on the command line.
|
||||
H1_FECollection fec(order, dim);
|
||||
FiniteElementSpace fespace(&mesh, &fec, dim);
|
||||
|
||||
// 5. As in Example 2, we set up the linear form b(.) which corresponds to
|
||||
// the right-hand side of the FEM linear system. In this case, b_i equals
|
||||
// the boundary integral of f*phi_i where f represents a "pull down"
|
||||
// force on the Neumann part of the boundary and phi_i are the basis
|
||||
// functions in the finite element fespace. The force is defined by the
|
||||
// VectorArrayCoefficient object f, which is a vector of Coefficient
|
||||
// objects. The fact that f is non-zero on boundary attribute 2 is
|
||||
// indicated by the use of piece-wise constants coefficient for its last
|
||||
// component. We don't assemble the discrete problem yet, this will be
|
||||
// done in the main loop.
|
||||
VectorArrayCoefficient f(dim);
|
||||
for (int i = 0; i < dim-1; i++)
|
||||
{
|
||||
f.Set(i, new ConstantCoefficient(0.0));
|
||||
}
|
||||
{
|
||||
Vector pull_force(mesh.bdr_attributes.Max());
|
||||
pull_force = 0.0;
|
||||
pull_force(1) = -1.0e-2;
|
||||
f.Set(dim-1, new PWConstCoefficient(pull_force));
|
||||
}
|
||||
|
||||
LinearForm b(&fespace);
|
||||
b.AddDomainIntegrator(new VectorBoundaryLFIntegrator(f));
|
||||
|
||||
// 6. Set up the bilinear form a(.,.) on the finite element space
|
||||
// corresponding to the linear elasticity integrator with piece-wise
|
||||
// constants coefficient lambda and mu.
|
||||
Vector lambda(mesh.attributes.Max());
|
||||
lambda = 1.0;
|
||||
lambda(0) = lambda(1)*50;
|
||||
PWConstCoefficient lambda_func(lambda);
|
||||
Vector mu(mesh.attributes.Max());
|
||||
mu = 1.0;
|
||||
mu(0) = mu(1)*50;
|
||||
PWConstCoefficient mu_func(mu);
|
||||
|
||||
BilinearForm a(&fespace);
|
||||
BilinearFormIntegrator *integ =
|
||||
new ElasticityIntegrator(lambda_func,mu_func);
|
||||
a.AddDomainIntegrator(integ);
|
||||
if (static_cond) { a.EnableStaticCondensation(); }
|
||||
|
||||
// 7. The solution vector x and the associated finite element grid function
|
||||
// will be maintained over the AMR iterations. We initialize it to zero.
|
||||
Vector zero_vec(dim);
|
||||
zero_vec = 0.0;
|
||||
VectorConstantCoefficient zero_vec_coeff(zero_vec);
|
||||
GridFunction x(&fespace);
|
||||
x = 0.0;
|
||||
|
||||
// 8. Determine the list of true (i.e. conforming) essential boundary dofs.
|
||||
// In this example, the boundary conditions are defined by marking only
|
||||
// boundary attribute 1 from the mesh as essential and converting it to a
|
||||
// list of true dofs. The conversion to true dofs will be done in the
|
||||
// main loop.
|
||||
Array<int> ess_bdr(mesh.bdr_attributes.Max());
|
||||
ess_bdr = 0;
|
||||
ess_bdr[0] = 1;
|
||||
|
||||
// 9. Connect to GLVis.
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
socketstream sol_sock;
|
||||
if (visualization)
|
||||
{
|
||||
sol_sock.open(vishost, visport);
|
||||
sol_sock.precision(8);
|
||||
}
|
||||
|
||||
// 10. Set up an error estimator. Here we use the Zienkiewicz-Zhu estimator
|
||||
// that uses the ComputeElementFlux method of the ElasticityIntegrator to
|
||||
// recover a smoothed flux (stress) that is subtracted from the element
|
||||
// flux to get an error indicator. We need to supply the space for the
|
||||
// smoothed flux: an (H1)^tdim (i.e., vector-valued) space is used here.
|
||||
// Here, tdim represents the number of components for a symmetric (dim x
|
||||
// dim) tensor.
|
||||
const int tdim = dim*(dim+1)/2;
|
||||
FiniteElementSpace flux_fespace(&mesh, &fec, tdim);
|
||||
ZienkiewiczZhuEstimator estimator(*integ, x, flux_fespace);
|
||||
estimator.SetFluxAveraging(flux_averaging);
|
||||
|
||||
// 11. A refiner selects and refines elements based on a refinement strategy.
|
||||
// The strategy here is to refine elements with errors larger than a
|
||||
// fraction of the maximum element error. Other strategies are possible.
|
||||
// The refiner will call the given error estimator.
|
||||
ThresholdRefiner refiner(estimator);
|
||||
refiner.SetTotalErrorFraction(0.7);
|
||||
|
||||
// 12. The main AMR loop. In each iteration we solve the problem on the
|
||||
// current mesh, visualize the solution, and refine the mesh.
|
||||
const int max_dofs = 50000;
|
||||
const int max_amr_itr = 20;
|
||||
for (int it = 0; it <= max_amr_itr; it++)
|
||||
{
|
||||
int cdofs = fespace.GetTrueVSize();
|
||||
cout << "\nAMR iteration " << it << endl;
|
||||
cout << "Number of unknowns: " << cdofs << endl;
|
||||
|
||||
// 13. Assemble the stiffness matrix and the right-hand side.
|
||||
a.Assemble();
|
||||
b.Assemble();
|
||||
|
||||
// 14. Set Dirichlet boundary values in the GridFunction x.
|
||||
// Determine the list of Dirichlet true DOFs in the linear system.
|
||||
Array<int> ess_tdof_list;
|
||||
x.ProjectBdrCoefficient(zero_vec_coeff, ess_bdr);
|
||||
fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
|
||||
|
||||
// 15. Create the linear system: eliminate boundary conditions, constrain
|
||||
// hanging nodes and possibly apply other transformations. The system
|
||||
// will be solved for true (unconstrained) DOFs only.
|
||||
SparseMatrix A;
|
||||
Vector B, X;
|
||||
const int copy_interior = 1;
|
||||
a.FormLinearSystem(ess_tdof_list, x, b, A, X, B, copy_interior);
|
||||
|
||||
#ifndef MFEM_USE_SUITESPARSE
|
||||
// 16. Define a simple symmetric Gauss-Seidel preconditioner and use it to
|
||||
// solve the linear system with PCG.
|
||||
GSSmoother M(A);
|
||||
PCG(A, M, B, X, 3, 2000, 1e-12, 0.0);
|
||||
#else
|
||||
// 16. If MFEM was compiled with SuiteSparse, use UMFPACK to solve the
|
||||
// the linear system.
|
||||
UMFPackSolver umf_solver;
|
||||
umf_solver.Control[UMFPACK_ORDERING] = UMFPACK_ORDERING_METIS;
|
||||
umf_solver.SetOperator(A);
|
||||
umf_solver.Mult(B, X);
|
||||
#endif
|
||||
|
||||
// 17. After solving the linear system, reconstruct the solution as a
|
||||
// finite element GridFunction. Constrained nodes are interpolated
|
||||
// from true DOFs (it may therefore happen that x.Size() >= X.Size()).
|
||||
a.RecoverFEMSolution(X, b, x);
|
||||
|
||||
// 18. Send solution by socket to the GLVis server.
|
||||
if (visualization && sol_sock.good())
|
||||
{
|
||||
GridFunction nodes(&fespace), *nodes_p = &nodes;
|
||||
mesh.GetNodes(nodes);
|
||||
nodes += x;
|
||||
int own_nodes = 0;
|
||||
mesh.SwapNodes(nodes_p, own_nodes);
|
||||
x.Neg(); // visualize the backward displacement
|
||||
sol_sock << "solution\n" << mesh << x << flush;
|
||||
x.Neg();
|
||||
mesh.SwapNodes(nodes_p, own_nodes);
|
||||
if (it == 0)
|
||||
{
|
||||
sol_sock << "keys '" << ((dim == 2) ? "Rjl" : "") << "m'" << endl;
|
||||
}
|
||||
sol_sock << "window_title 'AMR iteration: " << it << "'\n"
|
||||
<< "pause" << endl;
|
||||
cout << "Visualization paused. "
|
||||
"Press <space> in the GLVis window to continue." << endl;
|
||||
}
|
||||
|
||||
if (cdofs > max_dofs)
|
||||
{
|
||||
cout << "Reached the maximum number of dofs. Stop." << endl;
|
||||
break;
|
||||
}
|
||||
|
||||
// 19. Call the refiner to modify the mesh. The refiner calls the error
|
||||
// estimator to obtain element errors, then it selects elements to be
|
||||
// refined and finally it modifies the mesh. The Stop() method can be
|
||||
// used to determine if a stopping criterion was met.
|
||||
refiner.Apply(mesh);
|
||||
if (refiner.Stop())
|
||||
{
|
||||
cout << "Stopping criterion satisfied. Stop." << endl;
|
||||
break;
|
||||
}
|
||||
|
||||
// 20. Update the space to reflect the new state of the mesh. Also,
|
||||
// interpolate the solution x so that it lies in the new space but
|
||||
// represents the same function. This saves solver iterations later
|
||||
// since we'll have a good initial guess of x in the next step.
|
||||
// Internally, FiniteElementSpace::Update() calculates an
|
||||
// interpolation matrix which is then used by GridFunction::Update().
|
||||
fespace.Update();
|
||||
x.Update();
|
||||
|
||||
// 21. Inform also the bilinear and linear forms that the space has
|
||||
// changed.
|
||||
a.Update();
|
||||
b.Update();
|
||||
}
|
||||
|
||||
{
|
||||
ofstream mesh_ref_out("ex22_reference.mesh");
|
||||
mesh_ref_out.precision(16);
|
||||
mesh.Print(mesh_ref_out);
|
||||
|
||||
ofstream mesh_out("ex22_deformed.mesh");
|
||||
mesh_out.precision(16);
|
||||
GridFunction nodes(&fespace), *nodes_p = &nodes;
|
||||
mesh.GetNodes(nodes);
|
||||
nodes += x;
|
||||
int own_nodes = 0;
|
||||
mesh.SwapNodes(nodes_p, own_nodes);
|
||||
mesh.Print(mesh_out);
|
||||
mesh.SwapNodes(nodes_p, own_nodes);
|
||||
|
||||
ofstream x_out("ex22_displacement.sol");
|
||||
x_out.precision(16);
|
||||
x.Save(x_out);
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
@@ -1,366 +0,0 @@
|
||||
// MFEM Example 22
|
||||
//
|
||||
// Compile with: make ex22p
|
||||
//
|
||||
// Sample runs: mpirun -np 4 ex22p
|
||||
// mpirun -np 4 ex22p -o 3
|
||||
// mpirun -np 4 ex22p -m ../data/beam-quad.mesh
|
||||
// mpirun -np 4 ex22p -m ../data/beam-quad.mesh -o 3
|
||||
// mpirun -np 4 ex22p -m ../data/beam-tet.mesh
|
||||
// mpirun -np 4 ex22p -m ../data/beam-tet.mesh -o 2
|
||||
// mpirun -np 4 ex22p -m ../data/beam-hex.mesh
|
||||
// mpirun -np 4 ex22p -m ../data/beam-hex.mesh -o 2
|
||||
//
|
||||
// Description: This is a version of Example 2p with a simple adaptive mesh
|
||||
// refinement loop. The problem being solved is again the linear
|
||||
// elasticity describing a multi-material cantilever beam.
|
||||
// The problem is solved on a sequence of meshes which
|
||||
// are locally refined in a conforming (triangles, tetrahedrons)
|
||||
// or non-conforming (quadrilaterals, hexahedra) manner according
|
||||
// to a simple ZZ error estimator.
|
||||
//
|
||||
// The example demonstrates MFEM's capability to work with both
|
||||
// conforming and nonconforming refinements, in 2D and 3D, on
|
||||
// linear and curved meshes. Interpolation of functions from
|
||||
// coarse to fine meshes, as well as persistent GLVis
|
||||
// visualization are also illustrated.
|
||||
//
|
||||
// We recommend viewing Examples 2p and 6p before viewing this
|
||||
// example.
|
||||
|
||||
#include "mfem.hpp"
|
||||
#include <fstream>
|
||||
#include <iostream>
|
||||
|
||||
using namespace std;
|
||||
using namespace mfem;
|
||||
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
// 0. Initialize MPI.
|
||||
int num_procs, myid;
|
||||
MPI_Init(&argc, &argv);
|
||||
MPI_Comm_size(MPI_COMM_WORLD, &num_procs);
|
||||
MPI_Comm_rank(MPI_COMM_WORLD, &myid);
|
||||
|
||||
// 1. Parse command-line options.
|
||||
const char *mesh_file = "../data/beam-tri.mesh";
|
||||
int serial_ref_levels = 0;
|
||||
int order = 1;
|
||||
bool static_cond = false;
|
||||
bool visualization = 1;
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&mesh_file, "-m", "--mesh",
|
||||
"Mesh file to use.");
|
||||
args.AddOption(&serial_ref_levels, "-rs", "--refine-serial",
|
||||
"Number of uniform serial refinements (before parallel"
|
||||
" partitioning)");
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Finite element order (polynomial degree).");
|
||||
args.AddOption(&static_cond, "-sc", "--static-condensation", "-no-sc",
|
||||
"--no-static-condensation", "Enable static condensation.");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
args.Parse();
|
||||
if (!args.Good())
|
||||
{
|
||||
if (myid == 0)
|
||||
{
|
||||
args.PrintUsage(cout);
|
||||
}
|
||||
MPI_Finalize();
|
||||
return 1;
|
||||
}
|
||||
if (myid == 0)
|
||||
{
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
|
||||
// 2. Read the mesh from the given mesh file. We can handle triangular,
|
||||
// quadrilateral, tetrahedral, and hexahedral meshes with the same code.
|
||||
Mesh mesh(mesh_file, 1, 1);
|
||||
int dim = mesh.Dimension();
|
||||
MFEM_VERIFY(mesh.SpaceDimension() == dim, "invalid mesh");
|
||||
|
||||
if (mesh.attributes.Max() < 2 || mesh.bdr_attributes.Max() < 2)
|
||||
{
|
||||
cerr << "\nInput mesh should have at least two materials and "
|
||||
<< "two boundary attributes! (See schematic in ex2.cpp)\n"
|
||||
<< endl;
|
||||
MPI_Finalize();
|
||||
return 3;
|
||||
}
|
||||
|
||||
// 3. Refine the mesh before parallel partitioning. Since a NURBS mesh can
|
||||
// currently only be refined uniformly, we need to convert it to a
|
||||
// piecewise-polynomial curved mesh. First we refine the NURBS mesh a bit
|
||||
// more and then project the curvature to quadratic Nodes.
|
||||
if (mesh.NURBSext && serial_ref_levels == 0)
|
||||
{
|
||||
serial_ref_levels = 2;
|
||||
}
|
||||
for (int i = 0; i < serial_ref_levels; i++)
|
||||
{
|
||||
mesh.UniformRefinement();
|
||||
}
|
||||
if (mesh.NURBSext)
|
||||
{
|
||||
mesh.SetCurvature(2);
|
||||
}
|
||||
mesh.EnsureNCMesh();
|
||||
|
||||
ParMesh pmesh(MPI_COMM_WORLD, mesh);
|
||||
mesh.Clear();
|
||||
|
||||
// 4. Define a finite element space on the mesh. The polynomial order is
|
||||
// one (linear) by default, but this can be changed on the command line.
|
||||
H1_FECollection fec(order, dim);
|
||||
ParFiniteElementSpace fespace(&pmesh, &fec, dim);
|
||||
|
||||
// 5. As in Example 2, we set up the linear form b(.) which corresponds to
|
||||
// the right-hand side of the FEM linear system. In this case, b_i equals
|
||||
// the boundary integral of f*phi_i where f represents a "pull down"
|
||||
// force on the Neumann part of the boundary and phi_i are the basis
|
||||
// functions in the finite element fespace. The force is defined by the
|
||||
// VectorArrayCoefficient object f, which is a vector of Coefficient
|
||||
// objects. The fact that f is non-zero on boundary attribute 2 is
|
||||
// indicated by the use of piece-wise constants coefficient for its last
|
||||
// component. We don't assemble the discrete problem yet, this will be
|
||||
// done in the main loop.
|
||||
VectorArrayCoefficient f(dim);
|
||||
for (int i = 0; i < dim-1; i++)
|
||||
{
|
||||
f.Set(i, new ConstantCoefficient(0.0));
|
||||
}
|
||||
{
|
||||
Vector pull_force(pmesh.bdr_attributes.Max());
|
||||
pull_force = 0.0;
|
||||
pull_force(1) = -1.0e-2;
|
||||
f.Set(dim-1, new PWConstCoefficient(pull_force));
|
||||
}
|
||||
|
||||
ParLinearForm b(&fespace);
|
||||
b.AddDomainIntegrator(new VectorBoundaryLFIntegrator(f));
|
||||
|
||||
// 6. Set up the bilinear form a(.,.) on the finite element space
|
||||
// corresponding to the linear elasticity integrator with piece-wise
|
||||
// constants coefficient lambda and mu.
|
||||
Vector lambda(pmesh.attributes.Max());
|
||||
lambda = 1.0;
|
||||
lambda(0) = lambda(1)*50;
|
||||
PWConstCoefficient lambda_func(lambda);
|
||||
Vector mu(pmesh.attributes.Max());
|
||||
mu = 1.0;
|
||||
mu(0) = mu(1)*50;
|
||||
PWConstCoefficient mu_func(mu);
|
||||
|
||||
ParBilinearForm a(&fespace);
|
||||
BilinearFormIntegrator *integ =
|
||||
new ElasticityIntegrator(lambda_func,mu_func);
|
||||
a.AddDomainIntegrator(integ);
|
||||
if (static_cond) { a.EnableStaticCondensation(); }
|
||||
|
||||
// 7. The solution vector x and the associated finite element grid function
|
||||
// will be maintained over the AMR iterations. We initialize it to zero.
|
||||
Vector zero_vec(dim);
|
||||
zero_vec = 0.0;
|
||||
VectorConstantCoefficient zero_vec_coeff(zero_vec);
|
||||
ParGridFunction x(&fespace);
|
||||
x = 0.0;
|
||||
|
||||
// 8. Determine the list of true (i.e. conforming) essential boundary dofs.
|
||||
// In this example, the boundary conditions are defined by marking only
|
||||
// boundary attribute 1 from the mesh as essential and converting it to a
|
||||
// list of true dofs. The conversion to true dofs will be done in the
|
||||
// main loop.
|
||||
Array<int> ess_bdr(pmesh.bdr_attributes.Max());
|
||||
ess_bdr = 0;
|
||||
ess_bdr[0] = 1;
|
||||
|
||||
// 9. GLVis visualization.
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
socketstream sol_sock;
|
||||
|
||||
// 10. Set up an error estimator. Here we use the Zienkiewicz-Zhu estimator
|
||||
// that uses the ComputeElementFlux method of the ElasticityIntegrator to
|
||||
// recover a smoothed flux (stress) that is subtracted from the element
|
||||
// flux to get an error indicator. We need to supply the space for the
|
||||
// smoothed flux: an (H1)^tdim (i.e., vector-valued) space is used here.
|
||||
// Here, tdim represents the number of components for a symmetric (dim x
|
||||
// dim) tensor.
|
||||
const int tdim = dim*(dim+1)/2;
|
||||
L2_FECollection flux_fec(order, dim);
|
||||
ParFiniteElementSpace flux_fespace(&pmesh, &flux_fec, tdim);
|
||||
ParFiniteElementSpace smooth_flux_fespace(&pmesh, &fec, tdim);
|
||||
L2ZienkiewiczZhuEstimator estimator(*integ, x, flux_fespace,
|
||||
smooth_flux_fespace);
|
||||
|
||||
// 11. A refiner selects and refines elements based on a refinement strategy.
|
||||
// The strategy here is to refine elements with errors larger than a
|
||||
// fraction of the maximum element error. Other strategies are possible.
|
||||
// The refiner will call the given error estimator.
|
||||
ThresholdRefiner refiner(estimator);
|
||||
refiner.SetTotalErrorFraction(0.7);
|
||||
|
||||
// 12. The main AMR loop. In each iteration we solve the problem on the
|
||||
// current mesh, visualize the solution, and refine the mesh.
|
||||
const int max_dofs = 50000;
|
||||
const int max_amr_itr = 20;
|
||||
for (int it = 0; it <= max_amr_itr; it++)
|
||||
{
|
||||
HYPRE_Int global_dofs = fespace.GlobalTrueVSize();
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "\nAMR iteration " << it << endl;
|
||||
cout << "Number of unknowns: " << global_dofs << endl;
|
||||
}
|
||||
|
||||
// 13. Assemble the stiffness matrix and the right-hand side.
|
||||
a.Assemble();
|
||||
b.Assemble();
|
||||
|
||||
// 14. Set Dirichlet boundary values in the GridFunction x.
|
||||
// Determine the list of Dirichlet true DOFs in the linear system.
|
||||
Array<int> ess_tdof_list;
|
||||
x.ProjectBdrCoefficient(zero_vec_coeff, ess_bdr);
|
||||
fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
|
||||
|
||||
// 15. Create the linear system: eliminate boundary conditions, constrain
|
||||
// hanging nodes and possibly apply other transformations. The system
|
||||
// will be solved for true (unconstrained) DOFs only.
|
||||
|
||||
HypreParMatrix A;
|
||||
Vector B, X;
|
||||
const int copy_interior = 1;
|
||||
a.FormLinearSystem(ess_tdof_list, x, b, A, X, B, copy_interior);
|
||||
|
||||
// 16. Define and apply a parallel PCG solver for AX=B with the BoomerAMG
|
||||
// preconditioner from hypre.
|
||||
HypreBoomerAMG amg;
|
||||
amg.SetPrintLevel(0);
|
||||
// amg.SetSystemsOptions(dim); // optional
|
||||
CGSolver pcg(A.GetComm());
|
||||
pcg.SetPreconditioner(amg);
|
||||
pcg.SetOperator(A);
|
||||
pcg.SetRelTol(1e-6);
|
||||
pcg.SetMaxIter(500);
|
||||
pcg.SetPrintLevel(3); // print the first and the last iterations only
|
||||
pcg.Mult(B, X);
|
||||
|
||||
// 17. After solving the linear system, reconstruct the solution as a
|
||||
// finite element GridFunction. Constrained nodes are interpolated
|
||||
// from true DOFs (it may therefore happen that x.Size() >= X.Size()).
|
||||
a.RecoverFEMSolution(X, b, x);
|
||||
|
||||
// 18. Send solution by socket to the GLVis server.
|
||||
if (visualization && it == 0)
|
||||
{
|
||||
sol_sock.open(vishost, visport);
|
||||
sol_sock.precision(8);
|
||||
}
|
||||
if (visualization && sol_sock.good())
|
||||
{
|
||||
GridFunction nodes(&fespace), *nodes_p = &nodes;
|
||||
pmesh.GetNodes(nodes);
|
||||
nodes += x;
|
||||
int own_nodes = 0;
|
||||
pmesh.SwapNodes(nodes_p, own_nodes);
|
||||
x.Neg(); // visualize the backward displacement
|
||||
sol_sock << "parallel " << num_procs << ' ' << myid << '\n';
|
||||
sol_sock << "solution\n" << pmesh << x << flush;
|
||||
x.Neg();
|
||||
pmesh.SwapNodes(nodes_p, own_nodes);
|
||||
if (it == 0)
|
||||
{
|
||||
sol_sock << "keys '" << ((dim == 2) ? "Rjl" : "") << "m'" << endl;
|
||||
}
|
||||
sol_sock << "window_title 'AMR iteration: " << it << "'\n"
|
||||
<< "pause" << endl;
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "Visualization paused. "
|
||||
"Press <space> in the GLVis window to continue." << endl;
|
||||
}
|
||||
}
|
||||
|
||||
if (global_dofs > max_dofs)
|
||||
{
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "Reached the maximum number of dofs. Stop." << endl;
|
||||
}
|
||||
break;
|
||||
}
|
||||
|
||||
// 19. Call the refiner to modify the mesh. The refiner calls the error
|
||||
// estimator to obtain element errors, then it selects elements to be
|
||||
// refined and finally it modifies the mesh. The Stop() method can be
|
||||
// used to determine if a stopping criterion was met.
|
||||
refiner.Apply(pmesh);
|
||||
if (refiner.Stop())
|
||||
{
|
||||
if (myid == 0)
|
||||
{
|
||||
cout << "Stopping criterion satisfied. Stop." << endl;
|
||||
}
|
||||
break;
|
||||
}
|
||||
|
||||
// 20. Update the space to reflect the new state of the mesh. Also,
|
||||
// interpolate the solution x so that it lies in the new space but
|
||||
// represents the same function. This saves solver iterations later
|
||||
// since we'll have a good initial guess of x in the next step.
|
||||
// Internally, FiniteElementSpace::Update() calculates an
|
||||
// interpolation matrix which is then used by GridFunction::Update().
|
||||
fespace.Update();
|
||||
x.Update();
|
||||
|
||||
// 21. Load balance the mesh, and update the space and solution. Currently
|
||||
// available only for nonconforming meshes.
|
||||
if (pmesh.Nonconforming())
|
||||
{
|
||||
pmesh.Rebalance();
|
||||
|
||||
// Update the space and the GridFunction. This time the update matrix
|
||||
// redistributes the GridFunction among the processors.
|
||||
fespace.Update();
|
||||
x.Update();
|
||||
}
|
||||
|
||||
// 22. Inform also the bilinear and linear forms that the space has
|
||||
// changed.
|
||||
a.Update();
|
||||
b.Update();
|
||||
}
|
||||
|
||||
{
|
||||
ostringstream mref_name, mesh_name, sol_name;
|
||||
mref_name << "ex22p_reference_mesh." << setfill('0') << setw(6) << myid;
|
||||
mesh_name << "ex22p_deformed_mesh." << setfill('0') << setw(6) << myid;
|
||||
sol_name << "ex22p_displacement." << setfill('0') << setw(6) << myid;
|
||||
|
||||
ofstream mesh_ref_out(mref_name.str().c_str());
|
||||
mesh_ref_out.precision(16);
|
||||
pmesh.Print(mesh_ref_out);
|
||||
|
||||
ofstream mesh_out(mesh_name.str().c_str());
|
||||
mesh_out.precision(16);
|
||||
GridFunction nodes(&fespace), *nodes_p = &nodes;
|
||||
pmesh.GetNodes(nodes);
|
||||
nodes += x;
|
||||
int own_nodes = 0;
|
||||
pmesh.SwapNodes(nodes_p, own_nodes);
|
||||
pmesh.Print(mesh_out);
|
||||
pmesh.SwapNodes(nodes_p, own_nodes);
|
||||
|
||||
ofstream x_out(sol_name.str().c_str());
|
||||
x_out.precision(16);
|
||||
x.Save(x_out);
|
||||
}
|
||||
|
||||
MPI_Finalize();
|
||||
return 0;
|
||||
}
|
||||
@@ -6,7 +6,6 @@
|
||||
// mpirun -np 4 ex2p -m ../data/beam-quad.mesh
|
||||
// mpirun -np 4 ex2p -m ../data/beam-tet.mesh
|
||||
// mpirun -np 4 ex2p -m ../data/beam-hex.mesh
|
||||
// mpirun -np 4 ex2p -m ../data/beam-wedge.mesh
|
||||
// mpirun -np 4 ex2p -m ../data/beam-tri.mesh -o 2 -sys
|
||||
// mpirun -np 4 ex2p -m ../data/beam-quad.mesh -o 3 -elast
|
||||
// mpirun -np 4 ex2p -m ../data/beam-quad.mesh -o 3 -sc
|
||||
|
||||
@@ -7,7 +7,6 @@
|
||||
// ex3 -m ../data/beam-tet.mesh
|
||||
// ex3 -m ../data/beam-hex.mesh
|
||||
// ex3 -m ../data/escher.mesh
|
||||
// ex3 -m ../data/escher.mesh -o 2
|
||||
// ex3 -m ../data/fichera.mesh
|
||||
// ex3 -m ../data/fichera-q2.vtk
|
||||
// ex3 -m ../data/fichera-q3.mesh
|
||||
|
||||
@@ -7,7 +7,6 @@
|
||||
// mpirun -np 4 ex3p -m ../data/beam-tet.mesh
|
||||
// mpirun -np 4 ex3p -m ../data/beam-hex.mesh
|
||||
// mpirun -np 4 ex3p -m ../data/escher.mesh
|
||||
// mpirun -np 4 ex3p -m ../data/escher.mesh -o 2
|
||||
// mpirun -np 4 ex3p -m ../data/fichera.mesh
|
||||
// mpirun -np 4 ex3p -m ../data/fichera-q2.vtk
|
||||
// mpirun -np 4 ex3p -m ../data/fichera-q3.mesh
|
||||
|
||||
+33
-60
@@ -15,17 +15,12 @@
|
||||
// ex6 -m ../data/square-disc-surf.mesh -o 2
|
||||
// ex6 -m ../data/amr-quad.mesh
|
||||
//
|
||||
// Device sample runs:
|
||||
// ex6 -pa -d cuda
|
||||
// ex6 -pa -d occa-cuda
|
||||
// ex6 -pa -d raja-omp
|
||||
//
|
||||
// Description: This is a version of Example 1 with a simple adaptive mesh
|
||||
// refinement loop. The problem being solved is again the Laplace
|
||||
// equation -Delta u = 1 with homogeneous Dirichlet boundary
|
||||
// conditions. The problem is solved on a sequence of meshes which
|
||||
// are locally refined in a conforming (triangles, tetrahedrons)
|
||||
// or non-conforming (quadrilaterals, hexahedra) manner according
|
||||
// or non-conforming (quadrilateral, hexahedrons) manner according
|
||||
// to a simple ZZ error estimator.
|
||||
//
|
||||
// The example demonstrates MFEM's capability to work with both
|
||||
@@ -48,19 +43,13 @@ int main(int argc, char *argv[])
|
||||
// 1. Parse command-line options.
|
||||
const char *mesh_file = "../data/star.mesh";
|
||||
int order = 1;
|
||||
bool pa = false;
|
||||
const char *device = "cpu";
|
||||
bool visualization = true;
|
||||
bool visualization = 1;
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
args.AddOption(&mesh_file, "-m", "--mesh",
|
||||
"Mesh file to use.");
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Finite element order (polynomial degree).");
|
||||
args.AddOption(&pa, "-pa", "--partial-assembly", "-no-pa",
|
||||
"--no-partial-assembly", "Enable Partial Assembly.");
|
||||
args.AddOption(&device, "-d", "--device",
|
||||
"Device configuration string, see Device::Configure().");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
@@ -96,15 +85,10 @@ int main(int argc, char *argv[])
|
||||
H1_FECollection fec(order, dim);
|
||||
FiniteElementSpace fespace(&mesh, &fec);
|
||||
|
||||
// 5. Set device config parameters from the command line options.
|
||||
Device::Configure(device);
|
||||
Device::Print();
|
||||
|
||||
// 6. As in Example 1, we set up bilinear and linear forms corresponding to
|
||||
// 5. As in Example 1, we set up bilinear and linear forms corresponding to
|
||||
// the Laplace problem -\Delta u = 1. We don't assemble the discrete
|
||||
// problem yet, this will be done in the main loop.
|
||||
BilinearForm a(&fespace);
|
||||
if (pa) { a.SetAssemblyLevel(AssemblyLevel::PARTIAL); }
|
||||
LinearForm b(&fespace);
|
||||
|
||||
ConstantCoefficient one(1.0);
|
||||
@@ -114,18 +98,18 @@ int main(int argc, char *argv[])
|
||||
a.AddDomainIntegrator(integ);
|
||||
b.AddDomainIntegrator(new DomainLFIntegrator(one));
|
||||
|
||||
// 7. The solution vector x and the associated finite element grid function
|
||||
// 6. The solution vector x and the associated finite element grid function
|
||||
// will be maintained over the AMR iterations. We initialize it to zero.
|
||||
GridFunction x(&fespace);
|
||||
x = 0.0;
|
||||
|
||||
// 8. All boundary attributes will be used for essential (Dirichlet) BC.
|
||||
// 7. All boundary attributes will be used for essential (Dirichlet) BC.
|
||||
MFEM_VERIFY(mesh.bdr_attributes.Size() > 0,
|
||||
"Boundary attributes required in the mesh.");
|
||||
Array<int> ess_bdr(mesh.bdr_attributes.Max());
|
||||
ess_bdr = 1;
|
||||
|
||||
// 9. Connect to GLVis.
|
||||
// 8. Connect to GLVis.
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
socketstream sol_sock;
|
||||
@@ -134,23 +118,23 @@ int main(int argc, char *argv[])
|
||||
sol_sock.open(vishost, visport);
|
||||
}
|
||||
|
||||
// 10. Set up an error estimator. Here we use the Zienkiewicz-Zhu estimator
|
||||
// that uses the ComputeElementFlux method of the DiffusionIntegrator to
|
||||
// recover a smoothed flux (gradient) that is subtracted from the element
|
||||
// flux to get an error indicator. We need to supply the space for the
|
||||
// smoothed flux: an (H1)^sdim (i.e., vector-valued) space is used here.
|
||||
// 9. Set up an error estimator. Here we use the Zienkiewicz-Zhu estimator
|
||||
// that uses the ComputeElementFlux method of the DiffusionIntegrator to
|
||||
// recover a smoothed flux (gradient) that is subtracted from the element
|
||||
// flux to get an error indicator. We need to supply the space for the
|
||||
// smoothed flux: an (H1)^sdim (i.e., vector-valued) space is used here.
|
||||
FiniteElementSpace flux_fespace(&mesh, &fec, sdim);
|
||||
ZienkiewiczZhuEstimator estimator(*integ, x, flux_fespace);
|
||||
estimator.SetAnisotropic();
|
||||
|
||||
// 11. A refiner selects and refines elements based on a refinement strategy.
|
||||
// 10. A refiner selects and refines elements based on a refinement strategy.
|
||||
// The strategy here is to refine elements with errors larger than a
|
||||
// fraction of the maximum element error. Other strategies are possible.
|
||||
// The refiner will call the given error estimator.
|
||||
ThresholdRefiner refiner(estimator);
|
||||
refiner.SetTotalErrorFraction(0.7);
|
||||
|
||||
// 12. The main AMR loop. In each iteration we solve the problem on the
|
||||
// 11. The main AMR loop. In each iteration we solve the problem on the
|
||||
// current mesh, visualize the solution, and refine the mesh.
|
||||
const int max_dofs = 50000;
|
||||
for (int it = 0; ; it++)
|
||||
@@ -159,55 +143,44 @@ int main(int argc, char *argv[])
|
||||
cout << "\nAMR iteration " << it << endl;
|
||||
cout << "Number of unknowns: " << cdofs << endl;
|
||||
|
||||
// 13. Assemble the right-hand side.
|
||||
// 12. Assemble the stiffness matrix and the right-hand side.
|
||||
a.Assemble();
|
||||
b.Assemble();
|
||||
|
||||
// 14. Set Dirichlet boundary values in the GridFunction x.
|
||||
// 13. Set Dirichlet boundary values in the GridFunction x.
|
||||
// Determine the list of Dirichlet true DOFs in the linear system.
|
||||
Array<int> ess_tdof_list;
|
||||
x.ProjectBdrCoefficient(zero, ess_bdr);
|
||||
fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
|
||||
|
||||
// 15. Switch to the device and assemble the stiffness matrix.
|
||||
Device::Enable();
|
||||
a.Assemble();
|
||||
|
||||
// 16. Create the linear system: eliminate boundary conditions, constrain
|
||||
// 14. Create the linear system: eliminate boundary conditions, constrain
|
||||
// hanging nodes and possibly apply other transformations. The system
|
||||
// will be solved for true (unconstrained) DOFs only.
|
||||
OperatorPtr A;
|
||||
SparseMatrix A;
|
||||
Vector B, X;
|
||||
|
||||
const int copy_interior = 1;
|
||||
a.FormLinearSystem(ess_tdof_list, x, b, A, X, B, copy_interior);
|
||||
|
||||
// 17. Solve the linear system A X = B.
|
||||
if (!pa)
|
||||
{
|
||||
#ifndef MFEM_USE_SUITESPARSE
|
||||
// Use a simple symmetric Gauss-Seidel preconditioner with PCG.
|
||||
GSSmoother M((SparseMatrix&)(*A));
|
||||
PCG(*A, M, B, X, 3, 200, 1e-12, 0.0);
|
||||
// 15. Define a simple symmetric Gauss-Seidel preconditioner and use it to
|
||||
// solve the linear system with PCG.
|
||||
GSSmoother M(A);
|
||||
PCG(A, M, B, X, 3, 200, 1e-12, 0.0);
|
||||
#else
|
||||
// If MFEM was compiled with SuiteSparse, use UMFPACK to solve the system.
|
||||
UMFPackSolver umf_solver;
|
||||
umf_solver.Control[UMFPACK_ORDERING] = UMFPACK_ORDERING_METIS;
|
||||
umf_solver.SetOperator(*A);
|
||||
umf_solver.Mult(B, X);
|
||||
// 15. If MFEM was compiled with SuiteSparse, use UMFPACK to solve the
|
||||
// the linear system.
|
||||
UMFPackSolver umf_solver;
|
||||
umf_solver.Control[UMFPACK_ORDERING] = UMFPACK_ORDERING_METIS;
|
||||
umf_solver.SetOperator(A);
|
||||
umf_solver.Mult(B, X);
|
||||
#endif
|
||||
}
|
||||
else // No preconditioning for now in partial assembly mode.
|
||||
{
|
||||
CG(*A, B, X, 3, 2000, 1e-12, 0.0);
|
||||
}
|
||||
|
||||
// 18. After solving the linear system, reconstruct the solution as a
|
||||
// 16. After solving the linear system, reconstruct the solution as a
|
||||
// finite element GridFunction. Constrained nodes are interpolated
|
||||
// from true DOFs (it may therefore happen that x.Size() >= X.Size()).
|
||||
Device::Disable();
|
||||
a.RecoverFEMSolution(X, b, x);
|
||||
|
||||
// 19. Send solution by socket to the GLVis server.
|
||||
// 17. Send solution by socket to the GLVis server.
|
||||
if (visualization && sol_sock.good())
|
||||
{
|
||||
sol_sock.precision(8);
|
||||
@@ -220,7 +193,7 @@ int main(int argc, char *argv[])
|
||||
break;
|
||||
}
|
||||
|
||||
// 20. Call the refiner to modify the mesh. The refiner calls the error
|
||||
// 18. Call the refiner to modify the mesh. The refiner calls the error
|
||||
// estimator to obtain element errors, then it selects elements to be
|
||||
// refined and finally it modifies the mesh. The Stop() method can be
|
||||
// used to determine if a stopping criterion was met.
|
||||
@@ -231,7 +204,7 @@ int main(int argc, char *argv[])
|
||||
break;
|
||||
}
|
||||
|
||||
// 21. Update the space to reflect the new state of the mesh. Also,
|
||||
// 19. Update the space to reflect the new state of the mesh. Also,
|
||||
// interpolate the solution x so that it lies in the new space but
|
||||
// represents the same function. This saves solver iterations later
|
||||
// since we'll have a good initial guess of x in the next step.
|
||||
@@ -240,7 +213,7 @@ int main(int argc, char *argv[])
|
||||
fespace.Update();
|
||||
x.Update();
|
||||
|
||||
// 22. Inform also the bilinear and linear forms that the space has
|
||||
// 20. Inform also the bilinear and linear forms that the space has
|
||||
// changed.
|
||||
a.Update();
|
||||
b.Update();
|
||||
|
||||
+36
-59
@@ -15,17 +15,12 @@
|
||||
// mpirun -np 4 ex6p -m ../data/square-disc-surf.mesh -o 2
|
||||
// mpirun -np 4 ex6p -m ../data/amr-quad.mesh
|
||||
//
|
||||
// Device sample runs:
|
||||
// mpirun -np 4 ex6p -pa -d cuda
|
||||
// mpirun -np 4 ex6p -pa -d occa-cuda
|
||||
// mpirun -np 4 ex6p -pa -d raja-omp
|
||||
//
|
||||
// Description: This is a version of Example 1 with a simple adaptive mesh
|
||||
// refinement loop. The problem being solved is again the Laplace
|
||||
// equation -Delta u = 1 with homogeneous Dirichlet boundary
|
||||
// conditions. The problem is solved on a sequence of meshes which
|
||||
// are locally refined in a conforming (triangles, tetrahedrons)
|
||||
// or non-conforming (quadrilaterals, hexahedra) manner according
|
||||
// or non-conforming (quadrilateral, hexahedrons) manner according
|
||||
// to a simple ZZ error estimator.
|
||||
//
|
||||
// The example demonstrates MFEM's capability to work with both
|
||||
@@ -54,8 +49,6 @@ int main(int argc, char *argv[])
|
||||
// 2. Parse command-line options.
|
||||
const char *mesh_file = "../data/star.mesh";
|
||||
int order = 1;
|
||||
bool pa = false;
|
||||
const char *device = "cpu";
|
||||
bool visualization = true;
|
||||
|
||||
OptionsParser args(argc, argv);
|
||||
@@ -63,10 +56,6 @@ int main(int argc, char *argv[])
|
||||
"Mesh file to use.");
|
||||
args.AddOption(&order, "-o", "--order",
|
||||
"Finite element order (polynomial degree).");
|
||||
args.AddOption(&pa, "-pa", "--partial-assembly", "-no-pa",
|
||||
"--no-partial-assembly", "Enable Partial Assembly.");
|
||||
args.AddOption(&device, "-d", "--device",
|
||||
"Device configuration string, see Device::Configure().");
|
||||
args.AddOption(&visualization, "-vis", "--visualization", "-no-vis",
|
||||
"--no-visualization",
|
||||
"Enable or disable GLVis visualization.");
|
||||
@@ -117,15 +106,10 @@ int main(int argc, char *argv[])
|
||||
H1_FECollection fec(order, dim);
|
||||
ParFiniteElementSpace fespace(&pmesh, &fec);
|
||||
|
||||
// 7. Set device config parameters from the command line options.
|
||||
Device::Configure(device);
|
||||
if (myid == 0) { Device::Print(); }
|
||||
|
||||
// 8. As in Example 1p, we set up bilinear and linear forms corresponding to
|
||||
// 7. As in Example 1p, we set up bilinear and linear forms corresponding to
|
||||
// the Laplace problem -\Delta u = 1. We don't assemble the discrete
|
||||
// problem yet, this will be done in the main loop.
|
||||
ParBilinearForm a(&fespace);
|
||||
if (pa) { a.SetAssemblyLevel(AssemblyLevel::PARTIAL); }
|
||||
ParLinearForm b(&fespace);
|
||||
|
||||
ConstantCoefficient one(1.0);
|
||||
@@ -134,12 +118,12 @@ int main(int argc, char *argv[])
|
||||
a.AddDomainIntegrator(integ);
|
||||
b.AddDomainIntegrator(new DomainLFIntegrator(one));
|
||||
|
||||
// 9. The solution vector x and the associated finite element grid function
|
||||
// 8. The solution vector x and the associated finite element grid function
|
||||
// will be maintained over the AMR iterations. We initialize it to zero.
|
||||
ParGridFunction x(&fespace);
|
||||
x = 0;
|
||||
|
||||
// 10. Connect to GLVis.
|
||||
// 9. Connect to GLVis.
|
||||
char vishost[] = "localhost";
|
||||
int visport = 19916;
|
||||
|
||||
@@ -161,7 +145,7 @@ int main(int argc, char *argv[])
|
||||
sout.precision(8);
|
||||
}
|
||||
|
||||
// 11. Set up an error estimator. Here we use the Zienkiewicz-Zhu estimator
|
||||
// 10. Set up an error estimator. Here we use the Zienkiewicz-Zhu estimator
|
||||
// with L2 projection in the smoothing step to better handle hanging
|
||||
// nodes and parallel partitioning. We need to supply a space for the
|
||||
// discontinuous flux (L2) and a space for the smoothed flux (H(div) is
|
||||
@@ -175,14 +159,14 @@ int main(int argc, char *argv[])
|
||||
// ParFiniteElementSpace smooth_flux_fes(&pmesh, &smooth_flux_fec, dim);
|
||||
L2ZienkiewiczZhuEstimator estimator(*integ, x, flux_fes, smooth_flux_fes);
|
||||
|
||||
// 12. A refiner selects and refines elements based on a refinement strategy.
|
||||
// 11. A refiner selects and refines elements based on a refinement strategy.
|
||||
// The strategy here is to refine elements with errors larger than a
|
||||
// fraction of the maximum element error. Other strategies are possible.
|
||||
// The refiner will call the given error estimator.
|
||||
ThresholdRefiner refiner(estimator);
|
||||
refiner.SetTotalErrorFraction(0.7);
|
||||
|
||||
// 13. The main AMR loop. In each iteration we solve the problem on the
|
||||
// 12. The main AMR loop. In each iteration we solve the problem on the
|
||||
// current mesh, visualize the solution, and refine the mesh.
|
||||
const int max_dofs = 100000;
|
||||
for (int it = 0; ; it++)
|
||||
@@ -194,48 +178,41 @@ int main(int argc, char *argv[])
|
||||
cout << "Number of unknowns: " << global_dofs << endl;
|
||||
}
|
||||
|
||||
// 14. Assemble the right-hand side and determine the list of true
|
||||
// (i.e. parallel conforming) essential boundary dofs.
|
||||
Array<int> ess_tdof_list;
|
||||
fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
|
||||
// 13. Assemble the stiffness matrix and the right-hand side. Note that
|
||||
// MFEM doesn't care at this point that the mesh is nonconforming
|
||||
// and parallel. The FE space is considered 'cut' along hanging
|
||||
// edges/faces, and also across processor boundaries.
|
||||
a.Assemble();
|
||||
b.Assemble();
|
||||
|
||||
// 15. Switch to the device and assemble the stiffness matrix. Note that
|
||||
// MFEM doesn't care at this point that the mesh is nonconforming and
|
||||
// parallel. The FE space is considered 'cut' along hanging
|
||||
// edges/faces, and also across processor boundaries.
|
||||
Device::Enable();
|
||||
a.Assemble();
|
||||
|
||||
// 16. Create the parallel linear system: eliminate boundary conditions.
|
||||
// 14. Create the parallel linear system: eliminate boundary conditions,
|
||||
// constrain hanging nodes and nodes across processor boundaries.
|
||||
// The system will be solved for true (unconstrained/unique) DOFs only.
|
||||
OperatorPtr A;
|
||||
Vector B, X;
|
||||
Array<int> ess_tdof_list;
|
||||
fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
|
||||
|
||||
HypreParMatrix A;
|
||||
Vector B, X;
|
||||
const int copy_interior = 1;
|
||||
a.FormLinearSystem(ess_tdof_list, x, b, A, X, B, copy_interior);
|
||||
|
||||
// 17. Solve the linear system A X = B.
|
||||
// * With full assembly, use the BoomerAMG preconditioner from hypre.
|
||||
// * With partial assembly, use no preconditioner, for now.
|
||||
HypreBoomerAMG *amg = NULL;
|
||||
if (!pa) { amg = new HypreBoomerAMG; amg->SetPrintLevel(0); }
|
||||
CGSolver cg(MPI_COMM_WORLD);
|
||||
cg.SetRelTol(1e-6);
|
||||
cg.SetMaxIter(2000);
|
||||
cg.SetPrintLevel(3); // print the first and the last iterations only
|
||||
if (amg) { cg.SetPreconditioner(*amg); }
|
||||
cg.SetOperator(*A);
|
||||
cg.Mult(B, X);
|
||||
delete amg;
|
||||
// 15. Define and apply a parallel PCG solver for AX=B with the BoomerAMG
|
||||
// preconditioner from hypre.
|
||||
HypreBoomerAMG amg;
|
||||
amg.SetPrintLevel(0);
|
||||
CGSolver pcg(A.GetComm());
|
||||
pcg.SetPreconditioner(amg);
|
||||
pcg.SetOperator(A);
|
||||
pcg.SetRelTol(1e-6);
|
||||
pcg.SetMaxIter(200);
|
||||
pcg.SetPrintLevel(3); // print the first and the last iterations only
|
||||
pcg.Mult(B, X);
|
||||
|
||||
// 18. Switch back to the host and extract the parallel grid function
|
||||
// corresponding to the finite element approximation X. This is the
|
||||
// local solution on each processor.
|
||||
Device::Disable();
|
||||
// 16. Extract the parallel grid function corresponding to the finite element
|
||||
// approximation X. This is the local solution on each processor.
|
||||
a.RecoverFEMSolution(X, b, x);
|
||||
|
||||
// 19. Send the solution by socket to a GLVis server.
|
||||
// 17. Send the solution by socket to a GLVis server.
|
||||
if (visualization)
|
||||
{
|
||||
sout << "parallel " << num_procs << " " << myid << "\n";
|
||||
@@ -251,7 +228,7 @@ int main(int argc, char *argv[])
|
||||
break;
|
||||
}
|
||||
|
||||
// 20. Call the refiner to modify the mesh. The refiner calls the error
|
||||
// 18. Call the refiner to modify the mesh. The refiner calls the error
|
||||
// estimator to obtain element errors, then it selects elements to be
|
||||
// refined and finally it modifies the mesh. The Stop() method can be
|
||||
// used to determine if a stopping criterion was met.
|
||||
@@ -265,7 +242,7 @@ int main(int argc, char *argv[])
|
||||
break;
|
||||
}
|
||||
|
||||
// 21. Update the finite element space (recalculate the number of DOFs,
|
||||
// 19. Update the finite element space (recalculate the number of DOFs,
|
||||
// etc.) and create a grid function update matrix. Apply the matrix
|
||||
// to any GridFunctions over the space. In this case, the update
|
||||
// matrix is an interpolation matrix so the updated GridFunction will
|
||||
@@ -273,7 +250,7 @@ int main(int argc, char *argv[])
|
||||
fespace.Update();
|
||||
x.Update();
|
||||
|
||||
// 22. Load balance the mesh, and update the space and solution. Currently
|
||||
// 20. Load balance the mesh, and update the space and solution. Currently
|
||||
// available only for nonconforming meshes.
|
||||
if (pmesh.Nonconforming())
|
||||
{
|
||||
@@ -285,7 +262,7 @@ int main(int argc, char *argv[])
|
||||
x.Update();
|
||||
}
|
||||
|
||||
// 23. Inform also the bilinear and linear forms that the space has
|
||||
// 21. Inform also the bilinear and linear forms that the space has
|
||||
// changed.
|
||||
a.Update();
|
||||
b.Update();
|
||||
|
||||
@@ -4,10 +4,8 @@
|
||||
//
|
||||
// Sample runs: ex8 -m ../data/square-disc.mesh
|
||||
// ex8 -m ../data/star.mesh
|
||||
// ex8 -m ../data/star-mixed.mesh
|
||||
// ex8 -m ../data/escher.mesh
|
||||
// ex8 -m ../data/fichera.mesh
|
||||
// ex8 -m ../data/fichera-mixed.mesh
|
||||
// ex8 -m ../data/square-disc-p2.vtk
|
||||
// ex8 -m ../data/square-disc-p3.mesh
|
||||
// ex8 -m ../data/star-surf.mesh -o 2
|
||||
|
||||
@@ -4,10 +4,8 @@
|
||||
//
|
||||
// Sample runs: mpirun -np 4 ex8p -m ../data/square-disc.mesh
|
||||
// mpirun -np 4 ex8p -m ../data/star.mesh
|
||||
// mpirun -np 4 ex8p -m ../data/star-mixed.mesh
|
||||
// mpirun -np 4 ex8p -m ../data/escher.mesh
|
||||
// mpirun -np 4 ex8p -m ../data/fichera.mesh
|
||||
// mpirun -np 4 ex8p -m ../data/fichera-mixed.mesh
|
||||
// mpirun -np 4 ex8p -m ../data/square-disc-p2.vtk
|
||||
// mpirun -np 4 ex8p -m ../data/square-disc-p3.mesh
|
||||
// mpirun -np 4 ex8p -m ../data/star-surf.mesh -o 2
|
||||
@@ -125,13 +123,9 @@ int main(int argc, char *argv[])
|
||||
test_order++;
|
||||
}
|
||||
if (test_order < trial_order)
|
||||
{
|
||||
if (myid == 0)
|
||||
{
|
||||
cerr << "Warning, test space not enriched enough to handle primal"
|
||||
<< " trial space\n";
|
||||
}
|
||||
}
|
||||
|
||||
FiniteElementCollection *x0_fec, *xhat_fec, *test_fec;
|
||||
|
||||
|
||||
+13
-13
@@ -10,7 +10,6 @@
|
||||
// ex9 -m ../data/periodic-hexagon.mesh -p 1 -r 2 -dt 0.005 -tf 9
|
||||
// ex9 -m ../data/amr-quad.mesh -p 1 -r 2 -dt 0.002 -tf 9
|
||||
// ex9 -m ../data/star-q3.mesh -p 1 -r 2 -dt 0.005 -tf 9
|
||||
// ex9 -m ../data/star-mixed.mesh -p 1 -r 2 -dt 0.005 -tf 9
|
||||
// ex9 -m ../data/disc-nurbs.mesh -p 1 -r 3 -dt 0.005 -tf 9
|
||||
// ex9 -m ../data/disc-nurbs.mesh -p 2 -r 3 -dt 0.005 -tf 9
|
||||
// ex9 -m ../data/periodic-square.mesh -p 3 -r 4 -dt 0.0025 -tf 9 -vs 20
|
||||
@@ -132,8 +131,8 @@ int main(int argc, char *argv[])
|
||||
|
||||
// 2. Read the mesh from the given mesh file. We can handle geometrically
|
||||
// periodic meshes in this code.
|
||||
Mesh mesh(mesh_file, 1, 1);
|
||||
int dim = mesh.Dimension();
|
||||
Mesh *mesh = new Mesh(mesh_file, 1, 1);
|
||||
int dim = mesh->Dimension();
|
||||
|
||||
// 3. Define the ODE solver used for time integration. Several explicit
|
||||
// Runge-Kutta methods are available.
|
||||
@@ -147,6 +146,7 @@ int main(int argc, char *argv[])
|
||||
case 6: ode_solver = new RK6Solver; break;
|
||||
default:
|
||||
cout << "Unknown ODE solver type: " << ode_solver_type << '\n';
|
||||
delete mesh;
|
||||
return 3;
|
||||
}
|
||||
|
||||
@@ -156,18 +156,18 @@ int main(int argc, char *argv[])
|
||||
// a (piecewise-polynomial) high-order mesh.
|
||||
for (int lev = 0; lev < ref_levels; lev++)
|
||||
{
|
||||
mesh.UniformRefinement();
|
||||
mesh->UniformRefinement();
|
||||
}
|
||||
if (mesh.NURBSext)
|
||||
if (mesh->NURBSext)
|
||||
{
|
||||
mesh.SetCurvature(max(order, 1));
|
||||
mesh->SetCurvature(max(order, 1));
|
||||
}
|
||||
mesh.GetBoundingBox(bb_min, bb_max, max(order, 1));
|
||||
mesh->GetBoundingBox(bb_min, bb_max, max(order, 1));
|
||||
|
||||
// 5. Define the discontinuous DG finite element space of the given
|
||||
// polynomial order on the refined mesh.
|
||||
DG_FECollection fec(order, dim);
|
||||
FiniteElementSpace fes(&mesh, &fec);
|
||||
FiniteElementSpace fes(mesh, &fec);
|
||||
|
||||
cout << "Number of unknowns: " << fes.GetVSize() << endl;
|
||||
|
||||
@@ -207,7 +207,7 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
ofstream omesh("ex9.mesh");
|
||||
omesh.precision(precision);
|
||||
mesh.Print(omesh);
|
||||
mesh->Print(omesh);
|
||||
ofstream osol("ex9-init.gf");
|
||||
osol.precision(precision);
|
||||
u.Save(osol);
|
||||
@@ -221,14 +221,14 @@ int main(int argc, char *argv[])
|
||||
if (binary)
|
||||
{
|
||||
#ifdef MFEM_USE_SIDRE
|
||||
dc = new SidreDataCollection("Example9", &mesh);
|
||||
dc = new SidreDataCollection("Example9", mesh);
|
||||
#else
|
||||
MFEM_ABORT("Must build with MFEM_USE_SIDRE=YES for binary output.");
|
||||
#endif
|
||||
}
|
||||
else
|
||||
{
|
||||
dc = new VisItDataCollection("Example9", &mesh);
|
||||
dc = new VisItDataCollection("Example9", mesh);
|
||||
dc->SetPrecision(precision);
|
||||
}
|
||||
dc->RegisterField("solution", &u);
|
||||
@@ -253,7 +253,7 @@ int main(int argc, char *argv[])
|
||||
else
|
||||
{
|
||||
sout.precision(precision);
|
||||
sout << "solution\n" << mesh << u;
|
||||
sout << "solution\n" << *mesh << u;
|
||||
sout << "pause\n";
|
||||
sout << flush;
|
||||
cout << "GLVis visualization paused."
|
||||
@@ -285,7 +285,7 @@ int main(int argc, char *argv[])
|
||||
|
||||
if (visualization)
|
||||
{
|
||||
sout << "solution\n" << mesh << u << flush;
|
||||
sout << "solution\n" << *mesh << u << flush;
|
||||
}
|
||||
|
||||
if (visit)
|
||||
|
||||
@@ -10,7 +10,6 @@
|
||||
// mpirun -np 4 ex9p -m ../data/periodic-hexagon.mesh -p 1 -dt 0.005 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/amr-quad.mesh -p 1 -rp 1 -dt 0.002 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/star-q3.mesh -p 1 -rp 1 -dt 0.004 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/star-mixed.mesh -p 1 -rp 1 -dt 0.004 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/disc-nurbs.mesh -p 1 -rp 1 -dt 0.005 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/disc-nurbs.mesh -p 2 -rp 1 -dt 0.005 -tf 9
|
||||
// mpirun -np 4 ex9p -m ../data/periodic-square.mesh -p 3 -rp 2 -dt 0.0025 -tf 9 -vs 20
|
||||
|
||||
+2
-10
@@ -22,9 +22,9 @@ MFEM_LIB_FILE = mfem_is_not_built
|
||||
-include $(CONFIG_MK)
|
||||
|
||||
SEQ_EXAMPLES = ex1 ex2 ex3 ex4 ex5 ex6 ex7 ex8 ex9 ex10 ex14 ex15 ex16 ex17\
|
||||
ex18 ex19 ex20 ex22
|
||||
ex18 ex19
|
||||
PAR_EXAMPLES = ex1p ex2p ex3p ex4p ex5p ex6p ex7p ex8p ex9p ex10p ex11p ex12p\
|
||||
ex13p ex14p ex15p ex16p ex17p ex18p ex19p ex20p ex22p
|
||||
ex13p ex14p ex15p ex16p ex17p ex18p ex19p
|
||||
|
||||
ifeq ($(MFEM_USE_MPI),NO)
|
||||
EXAMPLES = $(SEQ_EXAMPLES)
|
||||
@@ -96,12 +96,6 @@ ex15-test-seq: ex15
|
||||
@$(call mfem-test,$<,, Serial example,-e 1)
|
||||
ex15p-test-par: ex15p
|
||||
@$(call mfem-test,$<, $(RUN_MPI), Parallel example,-e 1)
|
||||
# Testing: optional tests
|
||||
ifeq ($(MFEM_USE_STRUMPACK),YES)
|
||||
ex11p-test-strumpack: ex11p
|
||||
@$(call mfem-test,$<, $(RUN_MPI), STRUMPACK example,--strumpack)
|
||||
test-par-YES: ex11p-test-strumpack
|
||||
endif
|
||||
|
||||
# Testing: "test" target and mfem-test* variables are defined in config/test.mk
|
||||
|
||||
@@ -124,5 +118,3 @@ clean-exec:
|
||||
@rm -f ex16.mesh ex16-mesh.* ex16-init.* ex16-final.*
|
||||
@rm -f vortex-mesh.* vortex.mesh vortex-?-init.* vortex-?-final.*
|
||||
@rm -f deformation.* pressure.*
|
||||
@rm -f ex20.dat ex20p_?????.dat gnuplot_ex20.inp gnuplot_ex20p.inp
|
||||
@rm -f ex22*.mesh ex22*.sol ex22p_*.*
|
||||
|
||||
@@ -96,7 +96,7 @@ foreach(TEST_OPTIONS_VAR
|
||||
# All PETSC tests are parallel.
|
||||
if (MFEM_USE_MPI)
|
||||
add_test(NAME ${TEST_NAME_FULL}_np=4
|
||||
COMMAND ${MPIEXEC} ${MPIEXEC_NUMPROC_FLAG} ${MFEM_MPI_NP}
|
||||
COMMAND ${MPIEXEC} ${MPIEXEC_NUMPROC_FLAG} 4
|
||||
${MPIEXEC_PREFLAGS}
|
||||
$<TARGET_FILE:${TEST_NAME}> ${TEST_OPTIONS}
|
||||
${MPIEXEC_POSTFLAGS})
|
||||
|
||||
@@ -239,7 +239,7 @@ int main(int argc, char *argv[])
|
||||
// 2b. We initialize PETSc
|
||||
if (use_petsc)
|
||||
{
|
||||
MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL);
|
||||
PetscInitialize(NULL,NULL,petscrc_file,NULL);
|
||||
}
|
||||
|
||||
// 3. Read the serial mesh from the given mesh file on all processors. We can
|
||||
@@ -446,7 +446,7 @@ int main(int argc, char *argv[])
|
||||
delete oper;
|
||||
|
||||
// We finalize PETSc
|
||||
if (use_petsc) { MFEMFinalizePetsc(); }
|
||||
if (use_petsc) { PetscFinalize(); }
|
||||
|
||||
MPI_Finalize();
|
||||
|
||||
|
||||
@@ -123,7 +123,7 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// 2b. We initialize PETSc
|
||||
MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL);
|
||||
PetscInitialize(NULL,NULL,petscrc_file,NULL);
|
||||
|
||||
// 3. Read the (serial) mesh from the given mesh file on all processors. We
|
||||
// can handle triangular, quadrilateral, tetrahedral, hexahedral, surface
|
||||
@@ -266,6 +266,7 @@ int main(int argc, char *argv[])
|
||||
if (visualization && petscmonitor)
|
||||
{
|
||||
pcg->SetMonitor(&mymon);
|
||||
pcg->SetPrintLevel(4);
|
||||
pcg->iterative_mode = true;
|
||||
X.Randomize();
|
||||
}
|
||||
@@ -313,7 +314,7 @@ int main(int argc, char *argv[])
|
||||
delete pmesh;
|
||||
|
||||
// We finalize PETSc
|
||||
MFEMFinalizePetsc();
|
||||
PetscFinalize();
|
||||
|
||||
MPI_Finalize();
|
||||
|
||||
|
||||
@@ -101,7 +101,7 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// 2b. We initialize PETSc
|
||||
if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
|
||||
if (use_petsc) { PetscInitialize(NULL,NULL,petscrc_file,NULL); }
|
||||
|
||||
// 3. Read the (serial) mesh from the given mesh file on all processors. We
|
||||
// can handle triangular, quadrilateral, tetrahedral, hexahedral, surface
|
||||
@@ -359,7 +359,7 @@ int main(int argc, char *argv[])
|
||||
delete pmesh;
|
||||
|
||||
// We finalize PETSc
|
||||
if (use_petsc) { MFEMFinalizePetsc(); }
|
||||
if (use_petsc) { PetscFinalize(); }
|
||||
|
||||
MPI_Finalize();
|
||||
|
||||
|
||||
@@ -96,7 +96,7 @@ int main(int argc, char *argv[])
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
// 2b. We initialize PETSc
|
||||
if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
|
||||
if (use_petsc) { PetscInitialize(NULL,NULL,petscrc_file,NULL); }
|
||||
kappa = freq * M_PI;
|
||||
|
||||
// 3. Read the (serial) mesh from the given mesh file on all processors. We
|
||||
@@ -309,7 +309,7 @@ int main(int argc, char *argv[])
|
||||
delete pmesh;
|
||||
|
||||
// We finalize PETSc
|
||||
if (use_petsc) { MFEMFinalizePetsc(); }
|
||||
if (use_petsc) { PetscFinalize(); }
|
||||
|
||||
MPI_Finalize();
|
||||
|
||||
|
||||
@@ -97,7 +97,7 @@ int main(int argc, char *argv[])
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
// 2b. We initialize PETSc
|
||||
if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
|
||||
if (use_petsc) { PetscInitialize(NULL,NULL,petscrc_file,NULL); }
|
||||
kappa = freq * M_PI;
|
||||
|
||||
// 3. Read the (serial) mesh from the given mesh file on all processors. We
|
||||
@@ -330,7 +330,7 @@ int main(int argc, char *argv[])
|
||||
delete pmesh;
|
||||
|
||||
// We finalize PETSc
|
||||
if (use_petsc) { MFEMFinalizePetsc(); }
|
||||
if (use_petsc) { PetscFinalize(); }
|
||||
|
||||
MPI_Finalize();
|
||||
|
||||
|
||||
@@ -105,7 +105,7 @@ int main(int argc, char *argv[])
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
// 2b. We initialize PETSc
|
||||
if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
|
||||
if (use_petsc) { PetscInitialize(NULL,NULL,petscrc_file,NULL); }
|
||||
|
||||
// 3. Read the (serial) mesh from the given mesh file on all processors. We
|
||||
// can handle triangular, quadrilateral, tetrahedral, hexahedral, surface
|
||||
@@ -544,7 +544,7 @@ int main(int argc, char *argv[])
|
||||
delete pmesh;
|
||||
|
||||
// We finalize PETSc
|
||||
if (use_petsc) { MFEMFinalizePetsc(); }
|
||||
if (use_petsc) { PetscFinalize(); }
|
||||
|
||||
MPI_Finalize();
|
||||
|
||||
|
||||
@@ -12,7 +12,7 @@
|
||||
// equation -Delta u = 1 with homogeneous Dirichlet boundary
|
||||
// conditions. The problem is solved on a sequence of meshes which
|
||||
// are locally refined in a conforming (triangles, tetrahedrons)
|
||||
// or non-conforming (quadrilaterals, hexahedra) manner according
|
||||
// or non-conforming (quadrilateral, hexahedrons) manner according
|
||||
// to a simple ZZ error estimator.
|
||||
//
|
||||
// The example demonstrates MFEM's capability to work with both
|
||||
@@ -88,7 +88,7 @@ int main(int argc, char *argv[])
|
||||
args.PrintOptions(cout);
|
||||
}
|
||||
// 2b. We initialize PETSc
|
||||
if (use_petsc) { MFEMInitializePetsc(NULL,NULL,petscrc_file,NULL); }
|
||||
if (use_petsc) { PetscInitialize(NULL,NULL,petscrc_file,NULL); }
|
||||
|
||||
// 3. Read the (serial) mesh from the given mesh file on all processors. We
|
||||
// can handle triangular, quadrilateral, tetrahedral, hexahedral, surface
|
||||
@@ -315,7 +315,7 @@ int main(int argc, char *argv[])
|
||||
}
|
||||
|
||||
// We finalize PETSc
|
||||
if (use_petsc) { MFEMFinalizePetsc(); }
|
||||
if (use_petsc) { PetscFinalize(); }
|
||||
|
||||
MPI_Finalize();
|
||||
return 0;
|
||||
|
||||
@@ -248,7 +248,7 @@ int main(int argc, char *argv[])
|
||||
{
|
||||
// When using PETSc, we just create the ODE solver. We use command line
|
||||
// customization to select a specific solver.
|
||||
MFEMInitializePetsc(NULL, NULL, petscrc_file, NULL);
|
||||
PetscInitialize(NULL, NULL, petscrc_file, NULL);
|
||||
ode_solver = pode_solver = new PetscODESolver(MPI_COMM_WORLD);
|
||||
}
|
||||
|
||||
@@ -481,7 +481,7 @@ int main(int argc, char *argv[])
|
||||
delete pmon;
|
||||
|
||||
// We finalize PETSc
|
||||
if (use_petsc) { MFEMFinalizePetsc(); }
|
||||
if (use_petsc) { PetscFinalize(); }
|
||||
|
||||
MPI_Finalize();
|
||||
return 0;
|
||||
|
||||
@@ -40,8 +40,7 @@ add_mfem_examples(PUMI_EXAMPLES_SRCS ${PFX} "" test_pumi)
|
||||
# Command line options for the tests.
|
||||
# TODO...
|
||||
|
||||
# Set the number of processors for the parallel examples. The value of
|
||||
# MFEM_MPI_NP is ignored.
|
||||
# Set the number of processors for the parallel examples.
|
||||
set(EX1_TEST_NP 1)
|
||||
set(EX1P_TEST_NP 8)
|
||||
set(EX2_TEST_NP 1)
|
||||
|
||||
@@ -209,15 +209,15 @@ int main(int argc, char *argv[])
|
||||
Transform(Geometries.GetCenter(mesh->GetElementBaseGeometry(el)),cent);
|
||||
if (cent(0) <= -0.05)
|
||||
{
|
||||
mesh->SetAttribute(el, 1);
|
||||
mesh->SetAttribute(el , 1);
|
||||
}
|
||||
else if (cent(0) >= 0.05)
|
||||
{
|
||||
mesh->SetAttribute(el, 2);
|
||||
mesh->SetAttribute(el , 2);
|
||||
}
|
||||
else
|
||||
{
|
||||
mesh->SetAttribute(el, 3);
|
||||
mesh->SetAttribute(el , 3);
|
||||
}
|
||||
}
|
||||
mesh->SetAttributes();
|
||||
|
||||
@@ -68,7 +68,7 @@ foreach(SRC_FILE ${SUNDIALS_EXAMPLES_SRCS})
|
||||
COMMAND ${TEST_NAME} ${THIS_TEST_OPTIONS})
|
||||
else()
|
||||
add_test(NAME ${TEST_NAME}_np=4
|
||||
COMMAND ${MPIEXEC} ${MPIEXEC_NUMPROC_FLAG} ${MFEM_MPI_NP}
|
||||
COMMAND ${MPIEXEC} ${MPIEXEC_NUMPROC_FLAG} 4
|
||||
${MPIEXEC_PREFLAGS}
|
||||
$<TARGET_FILE:${TEST_NAME}> ${THIS_TEST_OPTIONS}
|
||||
${MPIEXEC_POSTFLAGS})
|
||||
|
||||
@@ -11,9 +11,7 @@
|
||||
|
||||
set(SRCS
|
||||
bilinearform.cpp
|
||||
bilinearform_ext.cpp
|
||||
bilininteg.cpp
|
||||
bilininteg_ext.cpp
|
||||
coefficient.cpp
|
||||
datacollection.cpp
|
||||
eltrans.cpp
|
||||
@@ -35,9 +33,7 @@ set(SRCS
|
||||
|
||||
set(HDRS
|
||||
bilinearform.hpp
|
||||
bilinearform_ext.hpp
|
||||
bilininteg.hpp
|
||||
bilininteg_ext.hpp
|
||||
coefficient.hpp
|
||||
datacollection.hpp
|
||||
eltrans.hpp
|
||||
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user