Qualitative measures for initial meshes

International Journal For Numerical Methods In Engineering, John Wiley, Vol 47, pp.887-906, 2000

MESHING
RESEARCH
CORNER

Correspondence to: David A. Field, General Motors Research and Development Center, 30500 Mound Road, Mail Code 480-106-285, Box 9055, Warren Ml 48090-9055, U.S.A.
E-mail: aes4ur@daf.ma.gmr.com

Abstract
This paper reviews geometric measures used to assess the shape of finite elements in two- and three- dimensional meshes. Measures have been normalized and made scale invariant whenever possible. This paper also introduces a Universal Similarity Region that enhances comparisons of triangles and their measures. As a byproduct, the USR provides a dynamic way to compare improved triangular meshes.