CGAL users discussion list

[Mael Rouxel-Labbé <>]

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