[vtkusers] Polyhedral challenge

[Will Schroeder]

Hua and I have made progress on adding a vtkPolyhedron cell to VTK. We have
a wiki page describing the tasks (which will take some time
to implement depending on our funding and schedule
http://www.vtk.org/Wiki/VTK/Polyhedron_Support). We are using the
interpolation method of mean value coordinates which Hua has already
implemented, thus far it is a super algorithm. Comments are welcome.

We are now starting the integration into vtkUnstructuredGrid. If you are
interested let me know and at the appropriate point we can make our git
repository available.



On Thu, Jan 21, 2010 at 6:53 AM, Will Schroeder
<will.schroeder at kitware.com>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.
>
> We are also researching other approaches. However in the interest of
> completeness, if anybody has suggestions for alternatives we'd love to hear
> about them.
>
> Will
>



-- 
William J. Schroeder, PhD
Kitware, Inc.
28 Corporate Drive
Clifton Park, NY 12065
will.schroeder at kitware.com
http://www.kitware.com
(518) 881-4902
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