This research work deals with the analysis and test of a normalized-Jacobia
n metric used as a measure of the quality of all-hexahedral meshes. Instead
of element qualities, a measure of node quality was chosen. The chosen met
ric is a bound for deviation from orthogonality of faces and dihedral angle
s. We outline the main steps and algorithms of a program that is successful
in improving the quality of initially invalid meshes to acceptable levels.
For node movements, the program relies on a combination of gradient-driven
and simulated annealing techniques. Some examples of the results and speed
are also shown. Copyright (C) 2001 John Wiley & Sons, Ltd.