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MUSCL shock capturing on high aspect ratio meshes

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Old   September 28, 2012, 14:21
Default MUSCL shock capturing on high aspect ratio meshes
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Vijay Paul
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I have noticed that MUSCL generates oscillations (non-monotone behavior) behind oblique shocks if the mesh aspect ratio is high. The problem does not seem to occur near walls where structured meshes have very high aspect ratios. There are situations like backward facing step problem where downstream of the corner, mesh is highly anisotropic. If the shock is at an angle of 45 degrees and aspect ratio is 10, then shock will be 2-3 points wide in one direction and 20-30 points in the other. When the limiter tries to sharpen the shock front in latter direction, one ends with a stair case shaped shock and post shock oscillations. Any thoughts on this other than the simple suggestion of avoiding high anisotropy will be greatly appreciated.
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Old   September 29, 2012, 00:16
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Your mesh is not able to resolve the shock. There is not much that can be done in this case, other than to adapt your mesh.

Using a higher order method like weno might help to some extent.
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