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Adaptive triangular–quadrilateral mesh generation
Author(s) -
Borouchaki Houman,
Frey Pascal J.
Publication year - 1998
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/(sici)1097-0207(19980315)41:5<915::aid-nme318>3.0.co;2-y
Subject(s) - quadrilateral , mesh generation , laplacian smoothing , isotropy , smoothing , metric (unit) , context (archaeology) , vertex (graph theory) , computer science , triangle mesh , mathematics , algorithm , mathematical optimization , polygon mesh , geometry , finite element method , theoretical computer science , engineering , structural engineering , geology , physics , computer vision , paleontology , graph , operations management , quantum mechanics
Abstract In this paper, we begin by recalling an adaptive mesh generation method governed by isotropic and anisotropic discrete metric maps, by means of the generation of a unit mesh with respect to a Riemannian structure. We propose then an automatic triangular to quadrilateral mesh conversion scheme, which generalizes the standard case to the anisotropic context. In addition, we introduce an optimal vertex smoothing procedure. Application test examples, in particular a CFD test, are given to demonstrate the efficiency of the proposed method. © 1998 John Wiley & Sons, Ltd.