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All‐hexahedral mesh smoothing with a node‐based measure of quality
Author(s) -
Calvo N. A.,
Idelsohn S. R.
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.104
Subject(s) - hexahedron , polygon mesh , measure (data warehouse) , metric (unit) , smoothing , algorithm , simulated annealing , jacobian matrix and determinant , computer science , discretization , node (physics) , mathematics , mathematical optimization , finite element method , geometry , data mining , mathematical analysis , engineering , computer vision , structural engineering , operations management
This research 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 chosen metric is a bound for deviation from orthogonality of faces and dihedral angles. 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 © 2001 John Wiley & Sons, Ltd.