[petsc-users] non-manifold DMPLEX

Sun Dec 12 15:36:09 CST 2021

Dear Patrick and Matthew,

Thank you very much for your answers. I am gonna try to set up such a test by assigning cell types.
Shall I open a MR in order to contribute this example ?

Regards,
Nicolas

________________________________
De : knepley at gmail.com <knepley at gmail.com>
Envoyé : dimanche 12 décembre 2021 12:17
À : Patrick Sanan <patrick.sanan at gmail.com>
Cc : TARDIEU Nicolas <nicolas.tardieu at edf.fr>; petsc-users at mcs.anl.gov <petsc-users at mcs.anl.gov>
Objet : Re: [petsc-users] non-manifold DMPLEX

On Sun, Dec 12, 2021 at 6:11 AM Patrick Sanan <patrick.sanan at gmail.com<mailto:patrick.sanan at gmail.com>> wrote:
Here you have the following "points":

- 1 3-cell (the cube volume)
- 7 2-cells (the 6 faces of the cube plus the extra one)
- 16 1-cells  (the 12 edges of the cube, plus 3 extra ones from the extra face, plus the extra edge)
- 11 0-cells (the 8 vertices of the cube, pus 2 extra ones from the extra face, plus the extra vertex)

You could encode your mesh as here, by directly specifying relationships between these points in the Hasse diagram:
https://petsc.org/release/docs/manual/dmplex/#representing-unstructured-grids<https://eur01.safelinks.protection.outlook.com/?url=https%3A%2F%2Fpetsc.org%2Frelease%2Fdocs%2Fmanual%2Fdmplex%2F%23representing-unstructured-grids&data=04%7C01%7Cnicolas.tardieu%40edf.fr%7Cb7faa53e924149df02bb08d9bd610c10%7Ce242425b70fc44dc9ddfc21e304e6c80%7C1%7C0%7C637749046784571371%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000&sdata=NX0gPHyjCX3kU%2BZIAZwZQ4951FpJCdri36OzDfRoLbk%3D&reserved=0>

Then, maybe the special relation is captured because you've defined the "cone" or "support" for each "point", which tells you about the local topology everywhere. E.g. to take the simpler case, three of the faces have the yellow edge in their "cone", or equivalently the yellow edge has those three faces in its "support".

This is correct. I can help you make this if you want. I think if you assign cell types, you can even get Plex to automatically interpolate.

Note that with this kind of mesh, algorithms which assume a uniform cell dimension will break, but I am guessing you would not
be interested in those anyway.

  Thanks,

    Matt

Am Fr., 10. Dez. 2021 um 17:04 Uhr schrieb TARDIEU Nicolas via petsc-users <petsc-users at mcs.anl.gov<mailto:petsc-users at mcs.anl.gov>>:
Dear PETSc Team,

Following a previous discussion on the mailing list, I'd like to experiment with DMPLEX with a very simple non-manifold mesh as shown in the attached picture : a cube connected to a square by an edge and to an edge by a point.
I have read some of the papers that Matthew et al. have written, but I must admit that I do not see how to start...
I see how the define the different elements but I do not see how to specify the special relationship between the cube and the square and between the cube and the edge.
Once it will have been set correctly, what I am hoping is to be able to use all the nice features of the DMPLEX object.

Best regards,
Nicolas

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