Hi Matt,


https://arxiv.org/pdf/1907.02604.pdf  

On Mon, Nov 25, 2019 at 7:54 PM Matthew Knepley <knepley@gmail.com> wrote:
On Mon, Nov 25, 2019 at 6:25 PM Swarnava Ghosh <swarnava89@gmail.com> wrote:
Dear PETSc users and developers,

I am working with dmplex to distribute a 3D unstructured mesh made of tetrahedrons in a cuboidal domain. I had a few queries:
1) Is there any way of ensuring load balancing based on the number of vertices per MPI process.

You can now call DMPlexRebalanceSharedPoints() to try and get better balance of vertices.
 
  Thank you for pointing out this function!  
 
2) As the global domain is cuboidal, is the resulting domain decomposition also cuboidal on every MPI process? If not, is there a way to ensure this? For example in DMDA, the default domain decomposition for a cuboidal domain is cuboidal. 

It sounds like you do not want something that is actually unstructured. Rather, it seems like you want to
take a DMDA type thing and split it into tets. You can get a cuboidal decomposition of a hex mesh easily.
Call DMPlexCreateBoxMesh() with one cell for every process, distribute, and then uniformly refine. This
will not quite work for tets since the mesh partitioner will tend to violate that constraint. You could:

No, I have an unstructured mesh that increases in resolution away from the center of the cuboid. See Figure: 5 in the ArXiv paper https://arxiv.org/pdf/1907.02604.pdf  for a slice through the midplane of the cuboid.  Given this type of mesh, will dmplex do a cuboidal domain decomposition?

Sincerely,
SG
 
  a) Prescribe the distribution yourself using the Shell partitioner type

or

  b) Write a refiner that turns hexes into tets

We already have a refiner that turns tets into hexes, but we never wrote the other direction because it was not clear
that it was useful.

  Thanks,

     Matt
 
Sincerely,
SG


--
What most experimenters take for granted before they begin their experiments is infinitely more interesting than any results to which their experiments lead.
-- Norbert Wiener