[petsc-users] non-manifold DMPLEX

Sun Dec 12 20:12:36 CST 2021

On Sun, Dec 12, 2021 at 4:36 PM TARDIEU Nicolas <nicolas.tardieu at edf.fr>
wrote:

> 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 ?
>

Yes, that would be great.

  Thanks,

    Matt

> 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>
> 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>:
>
> 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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-- 
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

https://www.cse.buffalo.edu/~knepley/ <http://www.cse.buffalo.edu/~knepley/>
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