All-hexahedral Mesh Smoothing with a Normalizad Jacobian Metric Combining Gradient Driven and Simulated Annealing

Nestor. A. Calvo, Sergio. R. Idelsohn


The present work deals with the analysis and test of a normalized-Jacobian metric used as a measure of the quality of all-hexahedral meshes. Instead of element qualities, a measure of node quality was chosen. The normalized-Jacobian metric is a bound for deviation from ortogonality of faces and dihedral angles. We outline the main steps and algorithms of a program that is successful in rising the quality of initially invalid meshes to acceptable levels. For node movements, the program relies on a combination of gradient driven and simulated annealing. Some example of the results and speed are also shown.

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