[vtk-developers] Polyhedral challenge

[Mark Olesen]

On Thu, 2010-01-21 at 06:53 -0500, Will Schroeder wrote:
> FYI-
> 
> Hua Yang and I are adding a new cell type to VTK: the polyhedral cell.
> This is mainly to support our CFD friends who like to compute flow
> solutions using flux approaches (balance mass and energy in and out of
> a region).
> 
> One of the key questions is how to interpolate across the interior of
> such a cell. In the past I have seen two typical approaches 1)
> tessellate the polyhedron into tetrahedra, and then use the tetrahedra
> to interpolate; and 2) use a 1/r**2 (or similar weighting function) to
> interpolate from the cell nodes to an interior point in the
> polyhedron. Both approaches have problems with continuity, etc.

No answers, but how are you interpolating from cell values (which are
what you would normally have for finite-volume CFD results) to obtain
node values? This might be an important aspect to consider (in case you
haven't already). Ideally you'd like the consistent interpolated value
regardless of if you interpolate from node values or from cell values.
By "problems with continuity", do you mean on the cell faces or within
the cell itself?

/mark

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