CGAL users discussion list

[Monique Teillaud <>]

Dear Matthew,

In fact, if you add points on the facets of the cube and you ensure that the facets are triangulated as mael suggests, then you are enforcing the periodicity through these points. You are not using the functionality that is offered by the periodic mesh package.

In other words, this should rather be done with the non-periodic meshing package.

(In fact I would be curious why you need the facets to be triangulated... Our algorithm is precisely designed to avoid adding such artificial points...)

Best regards,

--
Monique Teillaud
https://members.loria.fr/Monique.Teillaud/
INRIA Nancy - Grand Est, LORIA
Institut National de Recherche en Informatique et Automatique

----- Le 15 Mar 21, à 17:21, cgal-discuss <> a écrit :

Hi Mael,

Thanks for your reply.

It's a shame the periodic mesher can't do this currently. Would you be able to give some hints on how to implement your idea of using the standard 3D mesh package? I'm slightly wary about manually moving vertices around - won't this reduce the quality of the resulting mesh?

Thanks,

Matt

On Mon, 15 Mar 2021, 08:04 Mael Rouxel-Labbé, <> wrote:

Hello,

This is not currently possible in a straightforward manner in the
periodic mesh generator, as there is no 3D constrained Delaunay
triangulations in CGAL yet.

In a less straight forward manner, if you wish your elements to lie
exactly on the boundary of the periodic domain, you might be able to do
away with the periodic mesh generation algorithm: generate a 3D mesh of
the implicit function clipped by the periodic domain, and then ensure
that the vertices are identical on both sides.

Best,
Mael

On 15/03/2021 02:05, Matthew Russell ( via
cgal-discuss Mailing List) wrote:
> Dear all,
>
> I would like to generate periodic 3D meshes of regions bounded by
> implicit functions and so I was pleased to find examples such as [1]
> that do almost exactly what I want. The problem that I'm having is
> that cells in the meshes generated from this example are able to lie
> across the bounding unit cube, but to use the meshes in finite element
> simulations I need the faces of the cells to align with the boundaries
> of the cube.
>
> For example, the CGAL example [1] (with a different implciit function)
> generates meshes like [cgal.jpg], but I would like one like
> [gmsh.jpg].
>
> I haven't been able to find a way to do this in CGAL. Is it possible?
>
> Many thanks,
> Matt
>
> [1] https://doc.cgal.org/latest/Periodic_3_mesh_3/Periodic_3_mesh_3_2mesh_implicit_shape_8cpp-example.html
>

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