Cell quality metric and variational grid smoothing algorithm

Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.371-390, Sept. 2003

MESHING
RESEARCH
CORNER

12th International Meshing Roundtable
September 14-17, 2003
Santa Fe, New Mexico, U.S.A.

CFDLAB, Institute of Computational Engineering Sciences, The University of Texas at Austin
larisa@ices.utexas.edu; carey@cfdlab.ae.utexas.edu

Abstract
A local cell quality metric is introduced as a function of Jacobian matrix and used to construct a variational functional for a grid smoothing algorithm. The properties of the local quality measure which combines element shape and size control metrics are examined and the effectiveness of the algorithm is tested on several representative grids. The approach can be applied to different cell types and dimensions.

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