1080 lines
37 KiB
C++
1080 lines
37 KiB
C++
// Copyright (c) 2010-2025, Lawrence Livermore National Security, LLC. Produced
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// at the Lawrence Livermore National Laboratory. All Rights reserved. See files
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// LICENSE and NOTICE for details. LLNL-CODE-806117.
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//
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// This file is part of the MFEM library. For more information and source code
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// availability visit https://mfem.org.
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//
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// MFEM is free software; you can redistribute it and/or modify it under the
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// terms of the BSD-3 license. We welcome feedback and contributions, see file
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// CONTRIBUTING.md for details.
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#include "../../general/forall.hpp"
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#include "../bilininteg.hpp"
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#include "../gridfunc.hpp"
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namespace mfem
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{
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// PA Divergence Assemble 2D kernel
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static void PADivergenceSetup2D(const int Q1D,
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const int NE,
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const Array<real_t> &w,
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const Vector &j,
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const real_t COEFF,
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Vector &op)
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{
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const int NQ = Q1D*Q1D;
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auto W = w.Read();
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auto J = Reshape(j.Read(), NQ, 2, 2, NE);
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auto y = Reshape(op.Write(), NQ, 2, 2, NE);
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mfem::forall(NE, [=] MFEM_HOST_DEVICE (int e)
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{
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for (int q = 0; q < NQ; ++q)
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{
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const real_t J11 = J(q,0,0,e);
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const real_t J12 = J(q,0,1,e);
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const real_t J21 = J(q,1,0,e);
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const real_t J22 = J(q,1,1,e);
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// Store wq * Q * adj(J)
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y(q,0,0,e) = W[q] * COEFF * J22; // 1,1
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y(q,0,1,e) = W[q] * COEFF * -J12; // 1,2
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y(q,1,0,e) = W[q] * COEFF * -J21; // 2,1
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y(q,1,1,e) = W[q] * COEFF * J11; // 2,2
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}
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});
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}
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// PA Divergence Assemble 3D kernel
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static void PADivergenceSetup3D(const int Q1D,
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const int NE,
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const Array<real_t> &w,
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const Vector &j,
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const real_t COEFF,
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Vector &op)
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{
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const int NQ = Q1D*Q1D*Q1D;
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auto W = w.Read();
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auto J = Reshape(j.Read(), NQ, 3, 3, NE);
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auto y = Reshape(op.Write(), NQ, 3, 3, NE);
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mfem::forall(NE, [=] MFEM_HOST_DEVICE (int e)
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{
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for (int q = 0; q < NQ; ++q)
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{
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const real_t J11 = J(q,0,0,e);
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const real_t J21 = J(q,1,0,e);
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const real_t J31 = J(q,2,0,e);
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const real_t J12 = J(q,0,1,e);
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const real_t J22 = J(q,1,1,e);
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const real_t J32 = J(q,2,1,e);
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const real_t J13 = J(q,0,2,e);
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const real_t J23 = J(q,1,2,e);
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const real_t J33 = J(q,2,2,e);
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const real_t cw = W[q] * COEFF;
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// adj(J)
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const real_t A11 = (J22 * J33) - (J23 * J32);
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const real_t A12 = (J32 * J13) - (J12 * J33);
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const real_t A13 = (J12 * J23) - (J22 * J13);
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const real_t A21 = (J31 * J23) - (J21 * J33);
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const real_t A22 = (J11 * J33) - (J13 * J31);
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const real_t A23 = (J21 * J13) - (J11 * J23);
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const real_t A31 = (J21 * J32) - (J31 * J22);
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const real_t A32 = (J31 * J12) - (J11 * J32);
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const real_t A33 = (J11 * J22) - (J12 * J21);
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// Store wq * Q * adj(J)
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y(q,0,0,e) = cw * A11; // 1,1
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y(q,0,1,e) = cw * A12; // 1,2
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y(q,0,2,e) = cw * A13; // 1,3
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y(q,1,0,e) = cw * A21; // 2,1
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y(q,1,1,e) = cw * A22; // 2,2
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y(q,1,2,e) = cw * A23; // 2,3
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y(q,2,0,e) = cw * A31; // 3,1
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y(q,2,1,e) = cw * A32; // 3,2
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y(q,2,2,e) = cw * A33; // 3,3
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}
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});
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}
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static void PADivergenceSetup(const int dim,
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const int TR_D1D,
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const int TE_D1D,
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const int Q1D,
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const int NE,
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const Array<real_t> &W,
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const Vector &J,
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const real_t COEFF,
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Vector &op)
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{
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if (dim == 1) { MFEM_ABORT("dim==1 not supported in PADivergenceSetup"); }
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if (dim == 2)
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{
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PADivergenceSetup2D(Q1D, NE, W, J, COEFF, op);
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}
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if (dim == 3)
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{
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PADivergenceSetup3D(Q1D, NE, W, J, COEFF, op);
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}
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}
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void VectorDivergenceIntegrator::AssemblePA(const FiniteElementSpace &trial_fes,
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const FiniteElementSpace &test_fes)
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{
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// Assumes tensor-product elements ordered by nodes
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MFEM_ASSERT(trial_fes.GetOrdering() == Ordering::byNODES,
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"PA Only supports Ordering::byNODES!");
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Mesh *mesh = trial_fes.GetMesh();
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const FiniteElement &trial_fe = *trial_fes.GetTypicalFE();
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const FiniteElement &test_fe = *test_fes.GetTypicalFE();
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ElementTransformation *trans = mesh->GetTypicalElementTransformation();
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const IntegrationRule *ir = IntRule ? IntRule : &GetRule(trial_fe, test_fe,
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*trans);
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const int dims = trial_fe.GetDim();
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const int dimsToStore = dims * dims;
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nq = ir->GetNPoints();
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dim = mesh->Dimension();
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ne = trial_fes.GetNE();
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geom = mesh->GetGeometricFactors(*ir, GeometricFactors::JACOBIANS);
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trial_maps = &trial_fe.GetDofToQuad(*ir, DofToQuad::TENSOR);
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trial_dofs1D = trial_maps->ndof;
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quad1D = trial_maps->nqpt;
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test_maps = &test_fe.GetDofToQuad(*ir, DofToQuad::TENSOR);
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test_dofs1D = test_maps->ndof;
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MFEM_ASSERT(quad1D == test_maps->nqpt,
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"PA requires test and trial space to have same number of quadrature points!");
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pa_data.SetSize(nq * dimsToStore * ne, Device::GetMemoryType());
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real_t coeff = 1.0;
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if (Q)
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{
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ConstantCoefficient *cQ = dynamic_cast<ConstantCoefficient*>(Q);
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MFEM_VERIFY(cQ != NULL, "only ConstantCoefficient is supported!");
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coeff = cQ->constant;
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}
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PADivergenceSetup(dim, trial_dofs1D, test_dofs1D, quad1D,
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ne, ir->GetWeights(), geom->J, coeff, pa_data);
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}
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// PA Divergence Apply 2D kernel
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template<const int T_TR_D1D = 0, const int T_TE_D1D = 0, const int T_Q1D = 0>
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static void PADivergenceApply2D(const int NE,
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const Array<real_t> &b,
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const Array<real_t> &g,
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const Array<real_t> &bt,
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const Vector &op_,
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const Vector &x_,
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Vector &y_,
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const int tr_d1d = 0,
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const int te_d1d = 0,
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const int q1d = 0)
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{
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const int TR_D1D = T_TR_D1D ? T_TR_D1D : tr_d1d;
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const int TE_D1D = T_TE_D1D ? T_TE_D1D : te_d1d;
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const int Q1D = T_Q1D ? T_Q1D : q1d;
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MFEM_VERIFY(TR_D1D <= DeviceDofQuadLimits::Get().MAX_D1D, "");
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MFEM_VERIFY(TE_D1D <= DeviceDofQuadLimits::Get().MAX_D1D, "");
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MFEM_VERIFY(Q1D <= DeviceDofQuadLimits::Get().MAX_Q1D, "");
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auto B = Reshape(b.Read(), Q1D, TR_D1D);
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auto G = Reshape(g.Read(), Q1D, TR_D1D);
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auto Bt = Reshape(bt.Read(), TE_D1D, Q1D);
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auto op = Reshape(op_.Read(), Q1D*Q1D, 2,2, NE);
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auto x = Reshape(x_.Read(), TR_D1D, TR_D1D, 2, NE);
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auto y = Reshape(y_.ReadWrite(), TE_D1D, TE_D1D, NE);
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mfem::forall(NE, [=] MFEM_HOST_DEVICE (int e)
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{
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const int TR_D1D = T_TR_D1D ? T_TR_D1D : tr_d1d;
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const int TE_D1D = T_TE_D1D ? T_TE_D1D : te_d1d;
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const int Q1D = T_Q1D ? T_Q1D : q1d;
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const int VDIM = 2;
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// the following variables are evaluated at compile time
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constexpr int max_TE_D1D = T_TE_D1D ? T_TE_D1D : DofQuadLimits::MAX_D1D;
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constexpr int max_Q1D = T_Q1D ? T_Q1D : DofQuadLimits::MAX_Q1D;
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real_t grad[max_Q1D][max_Q1D][VDIM];
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real_t div[max_Q1D][max_Q1D];
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for (int qy = 0; qy < Q1D; ++qy)
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{
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for (int qx = 0; qx < Q1D; ++qx)
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{
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div[qy][qx] = 0.0;
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}
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}
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for (int c = 0; c < VDIM; ++c)
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{
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for (int qy = 0; qy < Q1D; ++qy)
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{
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for (int qx = 0; qx < Q1D; ++qx)
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{
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grad[qy][qx][0] = 0.0;
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grad[qy][qx][1] = 0.0;
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}
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}
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for (int dy = 0; dy < TR_D1D; ++dy)
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{
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real_t gradX[max_Q1D][VDIM];
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for (int qx = 0; qx < Q1D; ++qx)
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{
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gradX[qx][0] = 0.0;
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gradX[qx][1] = 0.0;
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}
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for (int dx = 0; dx < TR_D1D; ++dx)
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{
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const real_t s = x(dx,dy,c,e);
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for (int qx = 0; qx < Q1D; ++qx)
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{
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gradX[qx][0] += s * G(qx,dx);
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gradX[qx][1] += s * B(qx,dx);
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}
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}
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for (int qy = 0; qy < Q1D; ++qy)
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{
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const real_t wy = B(qy,dy);
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const real_t wDy = G(qy,dy);
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for (int qx = 0; qx < Q1D; ++qx)
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{
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grad[qy][qx][0] += gradX[qx][0] * wy;
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grad[qy][qx][1] += gradX[qx][1] * wDy;
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}
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}
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}
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// We've now calculated grad(u_c) = [Dxy_1, xDy_2] in plane
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for (int qy = 0; qy < Q1D; ++qy)
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{
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for (int qx = 0; qx < Q1D; ++qx)
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{
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const int q = qx + qy * Q1D;
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const real_t gradX = grad[qy][qx][0];
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const real_t gradY = grad[qy][qx][1];
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div[qy][qx] += gradX*op(q,0,c,e) + gradY*op(q,1,c,e);
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}
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}
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}
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// We've now calculated div = reshape(div phi * op) * u
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for (int qy = 0; qy < Q1D; ++qy)
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{
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real_t opX[max_TE_D1D];
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for (int dx = 0; dx < TE_D1D; ++dx)
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{
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opX[dx] = 0.0;
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for (int qx = 0; qx < Q1D; ++qx)
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{
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opX[dx] += Bt(dx,qx)*div[qy][qx];
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}
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}
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for (int dy = 0; dy < TE_D1D; ++dy)
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{
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for (int dx = 0; dx < TE_D1D; ++dx)
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{
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y(dx,dy,e) += Bt(dy,qy)*opX[dx];
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}
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}
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}
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// We've now calculated y = p * div
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});
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}
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// Shared memory PA Divergence Apply 2D kernel
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template<const int T_TR_D1D = 0, const int T_TE_D1D = 0, const int T_Q1D = 0,
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const int T_NBZ = 0>
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static void SmemPADivergenceApply2D(const int NE,
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const Array<real_t> &b_,
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const Array<real_t> &g_,
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const Array<real_t> &bt_,
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const Vector &op_,
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const Vector &x_,
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Vector &y_,
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const int tr_d1d = 0,
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const int te_d1d = 0,
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const int q1d = 0)
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{
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// TODO
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MFEM_ASSERT(false, "SHARED MEM NOT PROGRAMMED YET");
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}
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// PA Divergence Apply 2D kernel transpose
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template<const int T_TR_D1D = 0, const int T_TE_D1D = 0, const int T_Q1D = 0>
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static void PADivergenceApplyTranspose2D(const int NE,
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const Array<real_t> &bt,
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const Array<real_t> >,
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const Array<real_t> &b,
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const Vector &op_,
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const Vector &x_,
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Vector &y_,
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const int tr_d1d = 0,
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const int te_d1d = 0,
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const int q1d = 0)
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{
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const int TR_D1D = T_TR_D1D ? T_TR_D1D : tr_d1d;
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const int TE_D1D = T_TE_D1D ? T_TE_D1D : te_d1d;
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const int Q1D = T_Q1D ? T_Q1D : q1d;
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MFEM_VERIFY(TR_D1D <= DeviceDofQuadLimits::Get().MAX_D1D, "");
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MFEM_VERIFY(TE_D1D <= DeviceDofQuadLimits::Get().MAX_D1D, "");
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MFEM_VERIFY(Q1D <= DeviceDofQuadLimits::Get().MAX_Q1D, "");
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auto Bt = Reshape(bt.Read(), TR_D1D, Q1D);
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auto Gt = Reshape(gt.Read(), TR_D1D, Q1D);
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auto B = Reshape(b.Read(), Q1D, TE_D1D);
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auto op = Reshape(op_.Read(), Q1D*Q1D, 2,2, NE);
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auto x = Reshape(x_.Read(), TE_D1D, TE_D1D, NE);
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auto y = Reshape(y_.ReadWrite(), TR_D1D, TR_D1D, 2, NE);
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mfem::forall(NE, [=] MFEM_HOST_DEVICE (int e)
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{
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const int TR_D1D = T_TR_D1D ? T_TR_D1D : tr_d1d;
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const int TE_D1D = T_TE_D1D ? T_TE_D1D : te_d1d;
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const int Q1D = T_Q1D ? T_Q1D : q1d;
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const int VDIM = 2;
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// the following variables are evaluated at compile time
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constexpr int max_TR_D1D = T_TR_D1D ? T_TR_D1D : DofQuadLimits::MAX_D1D;
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constexpr int max_Q1D = T_Q1D ? T_Q1D : DofQuadLimits::MAX_Q1D;
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real_t quadTest[max_Q1D][max_Q1D];
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real_t grad[max_Q1D][max_Q1D][VDIM];
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for (int qy = 0; qy < Q1D; ++qy)
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{
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for (int qx = 0; qx < Q1D; ++qx)
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{
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quadTest[qy][qx] = 0.0;
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}
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}
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for (int dy = 0; dy < TE_D1D; ++dy)
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{
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real_t quadTestX[max_Q1D];
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for (int qx = 0; qx < Q1D; ++qx)
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{
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quadTestX[qx] = 0.0;
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}
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for (int dx = 0; dx < TE_D1D; ++dx)
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{
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const real_t s = x(dx,dy,e);
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for (int qx = 0; qx < Q1D; ++qx)
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{
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quadTestX[qx] += s * B(qx,dx);
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}
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}
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for (int qy = 0; qy < Q1D; ++qy)
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{
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const real_t wy = B(qy,dy);
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for (int qx = 0; qx < Q1D; ++qx)
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{
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quadTest[qy][qx] += quadTestX[qx] * wy;
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}
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}
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}
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// We've now calculated x on the quads
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for (int c = 0; c < VDIM; ++c)
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{
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for (int qy = 0; qy < Q1D; ++qy)
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{
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for (int qx = 0; qx < Q1D; ++qx)
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{
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const int q = qx + qy * Q1D;
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grad[qy][qx][0] = quadTest[qy][qx]*op(q,0,c,e);
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grad[qy][qx][1] = quadTest[qy][qx]*op(q,1,c,e);
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}
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}
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// We've now calculated op_c^T * x
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for (int qy = 0; qy < Q1D; ++qy)
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{
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real_t gradX[max_TR_D1D][VDIM];
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for (int dx = 0; dx < TR_D1D; ++dx)
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{
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gradX[dx][0] = 0.0;
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gradX[dx][1] = 0.0;
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}
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for (int qx = 0; qx < Q1D; ++qx)
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{
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const real_t gX = grad[qy][qx][0];
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const real_t gY = grad[qy][qx][1];
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for (int dx = 0; dx < TR_D1D; ++dx)
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{
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const real_t wx = Bt(dx,qx);
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const real_t wDx = Gt(dx,qx);
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gradX[dx][0] += gX * wDx;
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gradX[dx][1] += gY * wx;
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}
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}
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for (int dy = 0; dy < TR_D1D; ++dy)
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{
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const real_t wy = Bt(dy,qy);
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const real_t wDy = Gt(dy,qy);
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for (int dx = 0; dx < TR_D1D; ++dx)
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{
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y(dx,dy,c,e) += ((gradX[dx][0] * wy) + (gradX[dx][1] * wDy));
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}
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}
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}
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|
}
|
|
// We've now calculated y = reshape(div u * op^T) * x
|
|
});
|
|
}
|
|
|
|
// PA Vector Divergence Apply 3D kernel
|
|
template<const int T_TR_D1D = 0, const int T_TE_D1D = 0, const int T_Q1D = 0>
|
|
static void PADivergenceApply3D(const int NE,
|
|
const Array<real_t> &b,
|
|
const Array<real_t> &g,
|
|
const Array<real_t> &bt,
|
|
const Vector &op_,
|
|
const Vector &x_,
|
|
Vector &y_,
|
|
int tr_d1d = 0,
|
|
int te_d1d = 0,
|
|
int q1d = 0)
|
|
{
|
|
const int TR_D1D = T_TR_D1D ? T_TR_D1D : tr_d1d;
|
|
const int TE_D1D = T_TE_D1D ? T_TE_D1D : te_d1d;
|
|
const int Q1D = T_Q1D ? T_Q1D : q1d;
|
|
MFEM_VERIFY(TR_D1D <= DeviceDofQuadLimits::Get().MAX_D1D, "");
|
|
MFEM_VERIFY(TE_D1D <= DeviceDofQuadLimits::Get().MAX_D1D, "");
|
|
MFEM_VERIFY(Q1D <= DeviceDofQuadLimits::Get().MAX_Q1D, "");
|
|
auto B = Reshape(b.Read(), Q1D, TR_D1D);
|
|
auto G = Reshape(g.Read(), Q1D, TR_D1D);
|
|
auto Bt = Reshape(bt.Read(), TE_D1D, Q1D);
|
|
auto op = Reshape(op_.Read(), Q1D*Q1D*Q1D, 3,3, NE);
|
|
auto x = Reshape(x_.Read(), TR_D1D, TR_D1D, TR_D1D, 3, NE);
|
|
auto y = Reshape(y_.ReadWrite(), TE_D1D, TE_D1D, TE_D1D, NE);
|
|
mfem::forall(NE, [=] MFEM_HOST_DEVICE (int e)
|
|
{
|
|
const int TR_D1D = T_TR_D1D ? T_TR_D1D : tr_d1d;
|
|
const int TE_D1D = T_TE_D1D ? T_TE_D1D : te_d1d;
|
|
const int Q1D = T_Q1D ? T_Q1D : q1d;
|
|
const int VDIM = 3;
|
|
// the following variables are evaluated at compile time
|
|
constexpr int max_TE_D1D = T_TE_D1D ? T_TE_D1D : DofQuadLimits::MAX_D1D;
|
|
constexpr int max_Q1D = T_Q1D ? T_Q1D : DofQuadLimits::MAX_Q1D;
|
|
|
|
real_t grad[max_Q1D][max_Q1D][max_Q1D][VDIM];
|
|
real_t div[max_Q1D][max_Q1D][max_Q1D];
|
|
for (int qz = 0; qz < Q1D; ++qz)
|
|
{
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
div[qz][qy][qx] = 0.0;
|
|
}
|
|
}
|
|
}
|
|
|
|
for (int c = 0; c < VDIM; ++c)
|
|
{
|
|
for (int qz = 0; qz < Q1D; ++qz)
|
|
{
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
grad[qz][qy][qx][0] = 0.0;
|
|
grad[qz][qy][qx][1] = 0.0;
|
|
grad[qz][qy][qx][2] = 0.0;
|
|
}
|
|
}
|
|
}
|
|
for (int dz = 0; dz < TR_D1D; ++dz)
|
|
{
|
|
real_t gradXY[max_Q1D][max_Q1D][VDIM];
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
gradXY[qy][qx][0] = 0.0;
|
|
gradXY[qy][qx][1] = 0.0;
|
|
gradXY[qy][qx][2] = 0.0;
|
|
}
|
|
}
|
|
for (int dy = 0; dy < TR_D1D; ++dy)
|
|
{
|
|
real_t gradX[max_Q1D][VDIM];
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
gradX[qx][0] = 0.0;
|
|
gradX[qx][1] = 0.0;
|
|
gradX[qx][2] = 0.0;
|
|
}
|
|
for (int dx = 0; dx < TR_D1D; ++dx)
|
|
{
|
|
const real_t s = x(dx,dy,dz,c,e);
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
gradX[qx][0] += s * G(qx,dx);
|
|
gradX[qx][1] += s * B(qx,dx);
|
|
gradX[qx][2] += s * B(qx,dx);
|
|
}
|
|
}
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
const real_t wy = B(qy,dy);
|
|
const real_t wDy = G(qy,dy);
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
gradXY[qy][qx][0] += gradX[qx][0] * wy;
|
|
gradXY[qy][qx][1] += gradX[qx][1] * wDy;
|
|
gradXY[qy][qx][2] += gradX[qx][2] * wy;
|
|
}
|
|
}
|
|
}
|
|
for (int qz = 0; qz < Q1D; ++qz)
|
|
{
|
|
const real_t wz = B(qz,dz);
|
|
const real_t wDz = G(qz,dz);
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
grad[qz][qy][qx][0] += gradXY[qy][qx][0] * wz;
|
|
grad[qz][qy][qx][1] += gradXY[qy][qx][1] * wz;
|
|
grad[qz][qy][qx][2] += gradXY[qy][qx][2] * wDz;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
// We've now calculated grad(u_c) = [Dxyz_1, xDyz_2, xyDz_3] in plane
|
|
for (int qz = 0; qz < Q1D; ++qz)
|
|
{
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
const int q = qx + (qy + qz * Q1D) * Q1D;
|
|
const real_t gradX = grad[qz][qy][qx][0];
|
|
const real_t gradY = grad[qz][qy][qx][1];
|
|
const real_t gradZ = grad[qz][qy][qx][2];
|
|
|
|
div[qz][qy][qx] += gradX*op(q,0,c,e) + gradY*op(q,1,c,e) + gradZ*op(q,2,c,e);
|
|
|
|
}
|
|
}
|
|
}
|
|
}
|
|
// We've now calculated div = reshape(div phi * op) * u
|
|
for (int qz = 0; qz < Q1D; ++qz)
|
|
{
|
|
real_t opXY[max_TE_D1D][max_TE_D1D];
|
|
for (int dy = 0; dy < TE_D1D; ++dy)
|
|
{
|
|
for (int dx = 0; dx < TE_D1D; ++dx)
|
|
{
|
|
opXY[dy][dx] = 0.0;
|
|
}
|
|
}
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
real_t opX[max_TE_D1D];
|
|
for (int dx = 0; dx < TE_D1D; ++dx)
|
|
{
|
|
opX[dx] = 0.0;
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
opX[dx] += Bt(dx,qx)*div[qz][qy][qx];
|
|
}
|
|
}
|
|
for (int dy = 0; dy < TE_D1D; ++dy)
|
|
{
|
|
for (int dx = 0; dx < TE_D1D; ++dx)
|
|
{
|
|
opXY[dy][dx] += Bt(dy,qy)*opX[dx];
|
|
}
|
|
}
|
|
}
|
|
for (int dz = 0; dz < TE_D1D; ++dz)
|
|
{
|
|
for (int dy = 0; dy < TE_D1D; ++dy)
|
|
{
|
|
for (int dx = 0; dx < TE_D1D; ++dx)
|
|
{
|
|
y(dx,dy,dz,e) += Bt(dz,qz)*opXY[dy][dx];
|
|
}
|
|
}
|
|
}
|
|
}
|
|
// We've now calculated y = p * div
|
|
});
|
|
}
|
|
|
|
// PA Vector Divergence Apply 3D kernel
|
|
template<const int T_TR_D1D = 0, const int T_TE_D1D = 0, const int T_Q1D = 0>
|
|
static void PADivergenceApplyTranspose3D(const int NE,
|
|
const Array<real_t> &bt,
|
|
const Array<real_t> >,
|
|
const Array<real_t> &b,
|
|
const Vector &op_,
|
|
const Vector &x_,
|
|
Vector &y_,
|
|
int tr_d1d = 0,
|
|
int te_d1d = 0,
|
|
int q1d = 0)
|
|
{
|
|
const int TR_D1D = T_TR_D1D ? T_TR_D1D : tr_d1d;
|
|
const int TE_D1D = T_TE_D1D ? T_TE_D1D : te_d1d;
|
|
const int Q1D = T_Q1D ? T_Q1D : q1d;
|
|
MFEM_VERIFY(TR_D1D <= DeviceDofQuadLimits::Get().MAX_D1D, "");
|
|
MFEM_VERIFY(TE_D1D <= DeviceDofQuadLimits::Get().MAX_D1D, "");
|
|
MFEM_VERIFY(Q1D <= DeviceDofQuadLimits::Get().MAX_Q1D, "");
|
|
auto Bt = Reshape(bt.Read(), TR_D1D, Q1D);
|
|
auto Gt = Reshape(gt.Read(), TR_D1D, Q1D);
|
|
auto B = Reshape(b.Read(), Q1D, TE_D1D);
|
|
auto op = Reshape(op_.Read(), Q1D*Q1D*Q1D, 3,3, NE);
|
|
auto x = Reshape(x_.Read(), TE_D1D, TE_D1D, TE_D1D, NE);
|
|
auto y = Reshape(y_.ReadWrite(), TR_D1D, TR_D1D, TR_D1D, 3, NE);
|
|
mfem::forall(NE, [=] MFEM_HOST_DEVICE (int e)
|
|
{
|
|
const int TR_D1D = T_TR_D1D ? T_TR_D1D : tr_d1d;
|
|
const int TE_D1D = T_TE_D1D ? T_TE_D1D : te_d1d;
|
|
const int Q1D = T_Q1D ? T_Q1D : q1d;
|
|
const int VDIM = 3;
|
|
// the following variables are evaluated at compile time
|
|
constexpr int max_TR_D1D = T_TR_D1D ? T_TR_D1D : DofQuadLimits::MAX_D1D;
|
|
constexpr int max_Q1D = T_Q1D ? T_Q1D : DofQuadLimits::MAX_Q1D;
|
|
|
|
real_t quadTest[max_Q1D][max_Q1D][max_Q1D];
|
|
real_t grad[max_Q1D][max_Q1D][max_Q1D][VDIM];
|
|
for (int qz = 0; qz < Q1D; ++qz)
|
|
{
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
quadTest[qz][qy][qx] = 0.0;
|
|
}
|
|
}
|
|
}
|
|
for (int dz = 0; dz < TE_D1D; ++dz)
|
|
{
|
|
real_t quadTestXY[max_Q1D][max_Q1D];
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
quadTestXY[qy][qx] = 0.0;
|
|
}
|
|
}
|
|
for (int dy = 0; dy < TE_D1D; ++dy)
|
|
{
|
|
real_t quadTestX[max_Q1D];
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
quadTestX[qx] = 0.0;
|
|
}
|
|
for (int dx = 0; dx < TE_D1D; ++dx)
|
|
{
|
|
const real_t s = x(dx,dy,dz,e);
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
quadTestX[qx] += s * B(qx,dx);
|
|
}
|
|
}
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
const real_t wy = B(qy,dy);
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
quadTestXY[qy][qx] += quadTestX[qx] * wy;
|
|
}
|
|
}
|
|
}
|
|
for (int qz = 0; qz < Q1D; ++qz)
|
|
{
|
|
const real_t wz = B(qz,dz);
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
quadTest[qz][qy][qx] += quadTestXY[qy][qx] * wz;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
// We've now calculated x on the quads
|
|
for (int c = 0; c < VDIM; ++c)
|
|
{
|
|
for (int qz = 0; qz < Q1D; ++qz)
|
|
{
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
const int q = qx + (qy + qz * Q1D) * Q1D;
|
|
grad[qz][qy][qx][0] = quadTest[qz][qy][qx]*op(q,0,c,e);
|
|
grad[qz][qy][qx][1] = quadTest[qz][qy][qx]*op(q,1,c,e);
|
|
grad[qz][qy][qx][2] = quadTest[qz][qy][qx]*op(q,2,c,e);
|
|
}
|
|
}
|
|
}
|
|
// We've now calculated op_c^T * x
|
|
for (int qz = 0; qz < Q1D; ++qz)
|
|
{
|
|
real_t gradXY[max_TR_D1D][max_TR_D1D][VDIM];
|
|
for (int dy = 0; dy < TR_D1D; ++dy)
|
|
{
|
|
for (int dx = 0; dx < TR_D1D; ++dx)
|
|
{
|
|
gradXY[dy][dx][0] = 0.0;
|
|
gradXY[dy][dx][1] = 0.0;
|
|
gradXY[dy][dx][2] = 0.0;
|
|
}
|
|
}
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
real_t gradX[max_TR_D1D][VDIM];
|
|
for (int dx = 0; dx < TR_D1D; ++dx)
|
|
{
|
|
gradX[dx][0] = 0.0;
|
|
gradX[dx][1] = 0.0;
|
|
gradX[dx][2] = 0.0;
|
|
}
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
const real_t gX = grad[qz][qy][qx][0];
|
|
const real_t gY = grad[qz][qy][qx][1];
|
|
const real_t gZ = grad[qz][qy][qx][2];
|
|
for (int dx = 0; dx < TR_D1D; ++dx)
|
|
{
|
|
const real_t wx = Bt(dx,qx);
|
|
const real_t wDx = Gt(dx,qx);
|
|
gradX[dx][0] += gX * wDx;
|
|
gradX[dx][1] += gY * wx;
|
|
gradX[dx][2] += gZ * wx;
|
|
}
|
|
}
|
|
for (int dy = 0; dy < TR_D1D; ++dy)
|
|
{
|
|
const real_t wy = Bt(dy,qy);
|
|
const real_t wDy = Gt(dy,qy);
|
|
for (int dx = 0; dx < TR_D1D; ++dx)
|
|
{
|
|
gradXY[dy][dx][0] += gradX[dx][0] * wy;
|
|
gradXY[dy][dx][1] += gradX[dx][1] * wDy;
|
|
gradXY[dy][dx][2] += gradX[dx][2] * wy;
|
|
}
|
|
}
|
|
}
|
|
for (int dz = 0; dz < TR_D1D; ++dz)
|
|
{
|
|
const real_t wz = Bt(dz,qz);
|
|
const real_t wDz = Gt(dz,qz);
|
|
for (int dy = 0; dy < TR_D1D; ++dy)
|
|
{
|
|
for (int dx = 0; dx < TR_D1D; ++dx)
|
|
{
|
|
y(dx,dy,dz,c,e) +=
|
|
((gradXY[dy][dx][0] * wz) +
|
|
(gradXY[dy][dx][1] * wz) +
|
|
(gradXY[dy][dx][2] * wDz));
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
// We've now calculated y = reshape(div u * op^T) * x
|
|
});
|
|
}
|
|
|
|
// Shared memory PA Vector Divergence Apply 3D kernel
|
|
template<const int T_TR_D1D = 0, const int T_TE_D1D = 0, const int T_Q1D = 0>
|
|
static void SmemPADivergenceApply3D(const int NE,
|
|
const Array<real_t> &b_,
|
|
const Array<real_t> &g_,
|
|
const Array<real_t> &bt_,
|
|
const Vector &q_,
|
|
const Vector &x_,
|
|
Vector &y_,
|
|
const int tr_d1d = 0,
|
|
const int te_d1d = 0,
|
|
const int q1d = 0)
|
|
{
|
|
const int TR_D1D = T_TR_D1D ? T_TR_D1D : tr_d1d;
|
|
const int TE_D1D = T_TE_D1D ? T_TE_D1D : te_d1d;
|
|
const int Q1D = T_Q1D ? T_Q1D : q1d;
|
|
|
|
MFEM_VERIFY(TR_D1D <= DeviceDofQuadLimits::Get().MAX_D1D, "");
|
|
MFEM_VERIFY(TE_D1D <= DeviceDofQuadLimits::Get().MAX_D1D, "");
|
|
MFEM_VERIFY(Q1D <= DeviceDofQuadLimits::Get().MAX_Q1D, "");
|
|
|
|
auto b = Reshape(b_.Read(), Q1D, TR_D1D);
|
|
auto g = Reshape(g_.Read(), Q1D, TR_D1D);
|
|
auto bt = Reshape(bt_.Read(), TE_D1D, Q1D);
|
|
auto Q = Reshape(q_.Read(), Q1D*Q1D*Q1D, 3,3, NE);
|
|
auto x = Reshape(x_.Read(), TR_D1D, TR_D1D, TR_D1D, 3, NE);
|
|
auto y = Reshape(y_.ReadWrite(), TE_D1D, TE_D1D, TE_D1D, NE);
|
|
|
|
mfem::forall_3D(NE, Q1D, Q1D, Q1D, [=] MFEM_HOST_DEVICE (int e)
|
|
{
|
|
constexpr int VDIM = 3;
|
|
const int tidz = MFEM_THREAD_ID(z);
|
|
const int D1DR = T_TR_D1D ? T_TR_D1D : tr_d1d;
|
|
const int D1DE = T_TE_D1D ? T_TE_D1D : te_d1d;
|
|
const int Q1D = T_Q1D ? T_Q1D : q1d;
|
|
constexpr int MQ1 = T_Q1D ? T_Q1D : DofQuadLimits::MAX_Q1D;
|
|
constexpr int MD1R = T_TR_D1D ? T_TR_D1D : DofQuadLimits::MAX_D1D;
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|
constexpr int MD1E = T_TE_D1D ? T_TE_D1D : DofQuadLimits::MAX_D1D;
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constexpr int MD1 = MD1E > MD1R ? MD1E : MD1R;
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constexpr int MDQ = MQ1 > MD1 ? MQ1 : MD1;
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|
MFEM_SHARED real_t sBG[2][MQ1*MD1];
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|
real_t (*B)[MD1] = (real_t (*)[MD1]) (sBG+0);
|
|
real_t (*G)[MD1] = (real_t (*)[MD1]) (sBG+1);
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|
real_t (*Bt)[MQ1] = (real_t (*)[MQ1]) (sBG+0);
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|
MFEM_SHARED real_t sm0[3][MDQ*MDQ*MDQ];
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|
MFEM_SHARED real_t sm1[3][MDQ*MDQ*MDQ];
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|
real_t (*X)[MD1][MD1] = (real_t (*)[MD1][MD1]) (sm0+2);
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real_t (*DDQ0)[MD1][MQ1] = (real_t (*)[MD1][MQ1]) (sm0+0);
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|
real_t (*DDQ1)[MD1][MQ1] = (real_t (*)[MD1][MQ1]) (sm0+1);
|
|
real_t (*DQQ0)[MQ1][MQ1] = (real_t (*)[MQ1][MQ1]) (sm1+0);
|
|
real_t (*DQQ1)[MQ1][MQ1] = (real_t (*)[MQ1][MQ1]) (sm1+1);
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|
real_t (*DQQ2)[MQ1][MQ1] = (real_t (*)[MQ1][MQ1]) (sm1+2);
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|
real_t (*QQQ0)[MQ1][MQ1] = (real_t (*)[MQ1][MQ1]) (sm0+0);
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|
real_t (*QQQ1)[MQ1][MQ1] = (real_t (*)[MQ1][MQ1]) (sm0+1);
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real_t (*QQQ2)[MQ1][MQ1] = (real_t (*)[MQ1][MQ1]) (sm0+2);
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|
real_t (*QQD0)[MQ1][MD1] = (real_t (*)[MQ1][MD1]) (sm1+0);
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|
real_t (*QDD0)[MD1][MD1] = (real_t (*)[MD1][MD1]) (sm0+0);
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MFEM_SHARED real_t div[MQ1][MQ1][MQ1];
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|
|
|
if (tidz == 0)
|
|
{
|
|
MFEM_FOREACH_THREAD(d,y,D1DR)
|
|
{
|
|
MFEM_FOREACH_THREAD(q,x,Q1D)
|
|
{
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|
B[q][d] = b(q,d);
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|
G[q][d] = g(q,d);
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|
}
|
|
}
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|
}
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|
MFEM_SYNC_THREAD;
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|
MFEM_FOREACH_THREAD(qz,z,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(qy,y,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(qx,x,Q1D)
|
|
{
|
|
div[qz][qy][qx] = 0.0;
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|
}
|
|
}
|
|
}
|
|
MFEM_SYNC_THREAD;
|
|
|
|
for (int c = 0; c < VDIM; ++c)
|
|
{
|
|
MFEM_FOREACH_THREAD(qz,z,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(qy,y,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(qx,x,Q1D)
|
|
{
|
|
QQQ0[qz][qy][qx] = 0.0;
|
|
QQQ1[qz][qy][qx] = 0.0;
|
|
QQQ2[qz][qy][qx] = 0.0;
|
|
}
|
|
}
|
|
}
|
|
MFEM_SYNC_THREAD;
|
|
MFEM_FOREACH_THREAD(dz,z,D1DR)
|
|
{
|
|
MFEM_FOREACH_THREAD(dy,y,D1DR)
|
|
{
|
|
MFEM_FOREACH_THREAD(dx,x,D1DR)
|
|
{
|
|
X[dz][dy][dx] = x(dx,dy,dz,c,e);
|
|
}
|
|
}
|
|
}
|
|
MFEM_SYNC_THREAD;
|
|
MFEM_FOREACH_THREAD(dz,z,D1DR)
|
|
{
|
|
MFEM_FOREACH_THREAD(dy,y,D1DR)
|
|
{
|
|
MFEM_FOREACH_THREAD(qx,x,Q1D)
|
|
{
|
|
real_t u = 0.0;
|
|
real_t v = 0.0;
|
|
for (int dx = 0; dx < D1DR; ++dx)
|
|
{
|
|
const real_t coord = X[dz][dy][dx];
|
|
u += coord * B[qx][dx];
|
|
v += coord * G[qx][dx];
|
|
}
|
|
DDQ0[dz][dy][qx] = u;
|
|
DDQ1[dz][dy][qx] = v;
|
|
}
|
|
}
|
|
}
|
|
MFEM_SYNC_THREAD;
|
|
MFEM_FOREACH_THREAD(dz,z,D1DR)
|
|
{
|
|
MFEM_FOREACH_THREAD(qy,y,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(qx,x,Q1D)
|
|
{
|
|
real_t u = 0.0;
|
|
real_t v = 0.0;
|
|
real_t w = 0.0;
|
|
for (int dy = 0; dy < D1DR; ++dy)
|
|
{
|
|
u += DDQ1[dz][dy][qx] * B[qy][dy];
|
|
v += DDQ0[dz][dy][qx] * G[qy][dy];
|
|
w += DDQ0[dz][dy][qx] * B[qy][dy];
|
|
}
|
|
DQQ0[dz][qy][qx] = u;
|
|
DQQ1[dz][qy][qx] = v;
|
|
DQQ2[dz][qy][qx] = w;
|
|
}
|
|
}
|
|
}
|
|
MFEM_SYNC_THREAD;
|
|
MFEM_FOREACH_THREAD(qz,z,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(qy,y,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(qx,x,Q1D)
|
|
{
|
|
real_t u = 0.0;
|
|
real_t v = 0.0;
|
|
real_t w = 0.0;
|
|
for (int dz = 0; dz < D1DR; ++dz)
|
|
{
|
|
u += DQQ0[dz][qy][qx] * B[qz][dz];
|
|
v += DQQ1[dz][qy][qx] * B[qz][dz];
|
|
w += DQQ2[dz][qy][qx] * G[qz][dz];
|
|
}
|
|
QQQ0[qz][qy][qx] = u;
|
|
QQQ1[qz][qy][qx] = v;
|
|
QQQ2[qz][qy][qx] = w;
|
|
}
|
|
}
|
|
}
|
|
MFEM_SYNC_THREAD;
|
|
MFEM_FOREACH_THREAD(qz,z,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(qy,y,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(qx,x,Q1D)
|
|
{
|
|
const int q = qx + (qy + qz * Q1D) * Q1D;
|
|
const real_t gX = QQQ0[qz][qy][qx];
|
|
const real_t gY = QQQ1[qz][qy][qx];
|
|
const real_t gZ = QQQ2[qz][qy][qx];
|
|
div[qz][qy][qx] += gX*Q(q,0,c,e) + gY*Q(q,1,c,e) + gZ*Q(q,2,c,e);
|
|
}
|
|
}
|
|
}
|
|
MFEM_SYNC_THREAD;
|
|
}
|
|
|
|
if (tidz == 0)
|
|
{
|
|
MFEM_FOREACH_THREAD(d,y,D1DE)
|
|
{
|
|
MFEM_FOREACH_THREAD(q,x,Q1D)
|
|
{
|
|
Bt[d][q] = bt(d,q);
|
|
}
|
|
}
|
|
}
|
|
MFEM_SYNC_THREAD;
|
|
|
|
MFEM_FOREACH_THREAD(qz,z,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(qy,y,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(dx,x,D1DE)
|
|
{
|
|
real_t u = 0.0;
|
|
for (int qx = 0; qx < Q1D; ++qx)
|
|
{
|
|
u += div[qz][qy][qx] * Bt[dx][qx];
|
|
}
|
|
QQD0[qz][qy][dx] = u;
|
|
}
|
|
}
|
|
}
|
|
MFEM_SYNC_THREAD;
|
|
MFEM_FOREACH_THREAD(qz,z,Q1D)
|
|
{
|
|
MFEM_FOREACH_THREAD(dy,y,D1DE)
|
|
{
|
|
MFEM_FOREACH_THREAD(dx,x,D1DE)
|
|
{
|
|
real_t u = 0.0;
|
|
for (int qy = 0; qy < Q1D; ++qy)
|
|
{
|
|
u += QQD0[qz][qy][dx] * Bt[dy][qy];
|
|
}
|
|
QDD0[qz][dy][dx] = u;
|
|
}
|
|
}
|
|
}
|
|
MFEM_SYNC_THREAD;
|
|
MFEM_FOREACH_THREAD(dz,z,D1DE)
|
|
{
|
|
MFEM_FOREACH_THREAD(dy,y,D1DE)
|
|
{
|
|
MFEM_FOREACH_THREAD(dx,x,D1DE)
|
|
{
|
|
real_t u = 0.0;
|
|
for (int qz = 0; qz < Q1D; ++qz)
|
|
{
|
|
u += QDD0[qz][dy][dx] * Bt[dz][qz];
|
|
}
|
|
y(dx,dy,dz,e) += u;
|
|
}
|
|
}
|
|
}
|
|
});
|
|
}
|
|
|
|
static void PADivergenceApply(const int dim,
|
|
const int TR_D1D,
|
|
const int TE_D1D,
|
|
const int Q1D,
|
|
const int NE,
|
|
const Array<real_t> &B,
|
|
const Array<real_t> &G,
|
|
const Array<real_t> &Bt,
|
|
const Vector &op,
|
|
const Vector &x,
|
|
Vector &y,
|
|
bool transpose=false)
|
|
{
|
|
if (dim == 2)
|
|
{
|
|
if (transpose)
|
|
{
|
|
return PADivergenceApplyTranspose2D(NE,B,G,Bt,op,x,y,TR_D1D,TE_D1D,Q1D);
|
|
}
|
|
else
|
|
{
|
|
return PADivergenceApply2D(NE,B,G,Bt,op,x,y,TR_D1D,TE_D1D,Q1D);
|
|
}
|
|
}
|
|
if (dim == 3)
|
|
{
|
|
if (transpose)
|
|
{
|
|
return PADivergenceApplyTranspose3D(NE,B,G,Bt,op,x,y,TR_D1D,TE_D1D,Q1D);
|
|
}
|
|
else
|
|
{
|
|
return PADivergenceApply3D(NE,B,G,Bt,op,x,y,TR_D1D,TE_D1D,Q1D);
|
|
}
|
|
}
|
|
MFEM_ABORT("Unknown kernel.");
|
|
}
|
|
|
|
// PA Divergence Apply kernel
|
|
void VectorDivergenceIntegrator::AddMultPA(const Vector &x, Vector &y) const
|
|
{
|
|
PADivergenceApply(dim, trial_dofs1D, test_dofs1D, quad1D, ne,
|
|
trial_maps->B, trial_maps->G, test_maps->Bt, pa_data, x, y,
|
|
false);
|
|
}
|
|
|
|
// PA Divergence Apply kernel
|
|
void VectorDivergenceIntegrator::AddMultTransposePA(const Vector &x,
|
|
Vector &y) const
|
|
{
|
|
PADivergenceApply(dim, trial_dofs1D, test_dofs1D, quad1D, ne,
|
|
trial_maps->Bt, trial_maps->Gt, test_maps->B, pa_data, x, y,
|
|
true);
|
|
}
|
|
|
|
} // namespace mfem
|