Polyhedral Mesh Optimization Using The Interpolation Tensor

Proceedings, 11th International Meshing Roundtable, Sandia National Laboratories, pp.19-28, September 15-18 2002

MESHING
RESEARCH
CORNER

11th International Meshing Roundtable
Ithaca, New York, USA
September 15-18, 2002

Stefano Paoletti
Adapco, Melville, NY, U.S.A.
Email:stefano@adapco.com

Abstract
A method for improving the quality of general conformal polygonal and polyhedral meshes is presented. The method is based on local optimization of a cell quality function that can be derived from the inertia tensor of the arrangement of nodes that belong to the cell. A definition of global mesh quality is also presented as a function of the quality of the cells in the mesh. The cell quality function is related to the ability of the arrangement of points to correctly interpolate test fields.

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