[MOAB-dev] Compute volume and surface areas of dual mesh

[Jed Brown]

On Fri, Sep 16, 2011 at 14:40, Iulian Grindeanu <iulian at mcs.anl.gov> wrote:

> Hello,
>
> What is the dual of a tetrahedral mesh?
> If the mesh is Delaunay, one dual is the Voronoi partition.
> If the mesh is arbitrary, I don't think there is a unique partition that
> can be defined.
> You can always define a voronoi partition, but it will not be necessarily
> dual to initial tetra mesh.
>

Yeah, I'm thinking of the Delaunay/Voronoi dual (vertices become dual
centers). I think the initial mesh will typically be Delaunay. The issue is
that vertex-centered finite volume discretizations don't need cell
connectivity, they only need to know the volumes of dual cells (primal
vertices) and the surface area of dual faces (primal edges).

In this case, I already have tetrahedral meshes and just want to compute the
sizes of these dual volumes. (I don't need the dual volumes themselves, just
the sizes.
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