Added description of aniso problems.

This commit is contained in:
Jan Nikl
2025-07-28 01:21:47 -07:00
parent 121a1c73a8
commit 0ea2624feb
+21 -3
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@@ -33,9 +33,27 @@
// are offered:
// 1) sine diffusion - with the asymptotic (a -> infinity) reference
// solution with the first order correction
// 2) MFEM logo convection-diffusion - random Gaussian blobs of
// conductivity and circular velocity
// with ASCII art of MFEM text as IC
// 2) MFEM text conv-diff - random Gaussian blobs of conductivity
// and circular velocity with ASCII art
// of MFEM text as IC
// 3) diffusion ring - arc segment IC diffused along circle
// 4) diffusion ring Gauss - Gaussian blobs IC diffused along circle
// 5) diffusion ring sine - sine profile in radial and angular
// direction is diffused along circle,
// analytic solution for asymptotic
// diffusion with zero radial diffusion
// 6) boundary layer - exponentially decaying boundary layer problem
// 7) steady peak - a peak profile with a constant conductivity and
// a manufactured steady-state solution
// 8) steady varying angle - a concave radial profile diffused
// along the circle with a manufactured
// steady-state solution
// 9) Sovinec problem - a sine profile with diffusion perpendicular
// to gradient of potential with a manufactured
// steady-state solution
// 10) Umansky problem - a transition profile with with diffusion
// along the interface, where the width is
// measured automatically
// We discretize with Raviart-Thomas finite elements (heat flux q)
// and piecewise discontinuous polynomials (temperature T). Alternatively,
// the piecewise discontinuous polynomials are used for both quantities.