On 9/25/20 4:58 AM, Paras Kumar wrote:
In the quest of alternative solutions, I came across the Mesquite library and
was curious to know if that could be helpful to improve the quality of the
Delaunay based Hex mesh so as to avoid the issue with stress irregularities.
It also seems that Mequite's integration within deal.II is under
progress[https://github.com/dealii/dealii/pull/5971]. \
Since, I have no prior experience with this library, some guidance wrt the
current issue would be of great help.
You could try that patch (though I don't know the current status of it -- the
issue is that Mesquite is no longer maintained).
But I suspect that it will not help very much. You can understand this in 2d:
Even if you have a perfect triangular mesh and then subdivide each triangle
into 3 quadrilaterals, you end up with quadrilaterals shows shape can not be
improved by moving around nodes. Furthermore, and that seems to be the key
issue for theoretical reasons too complicated to discuss here, you really want
2d meshes where at the majority of nodes 4 quadrilaterals come together. But
the quadrilateral mesh you get out of subdividing triangles has nodes where
either 3, 4, or 6 quadrilaterals come together (corresponding to triangle
centers, triangle edge midpoints, and triangle vertices). You end up with much
higher errors on these kinds of meshes, and I think that is what you are
seeing. Libraries like Mesquite optimize the mesh by moving around nodes, and
that has no effect on the valence of nodes.
(I'm sure Mesquite can also do other operations, but they are far more
complicated on quad and hex meshes and I don't think the interface enabled that.)
Best
W.
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Wolfgang Bangerth email: bange...@colostate.edu
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