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A new indirect anisotropic quadrilateral mesh generation scheme with enhanced local mesh smoothing procedures
Author(s) -
Lee Y. K.,
Lee C. K.
Publication year - 2003
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.771
Subject(s) - quadrilateral , smoothing , polygon mesh , laplacian smoothing , mesh generation , parametric statistics , algorithm , anisotropy , robustness (evolution) , metric (unit) , computer science , mathematics , finite element method , mathematical optimization , geometry , engineering , structural engineering , computer vision , physics , biochemistry , statistics , chemistry , operations management , quantum mechanics , gene
An enhanced version of indirect advancing front technique is proposed for the construction of full quadrilateral anisotropic meshes on 3D surfaces. The final quadrilateral mesh is constructed from a background triangular mesh and the merging procedure is carried out in the parametric space. The proposed method employed the systemic merging technique for the formation of quadrilaterals and the metric specifications for controlling the anisotropic characteristics of the elements. In order to generate well‐graded anisotropic quadrilaterals, the selection criteria of base segment for merging are carefully defined. Furthermore, in order to improve the shape quality of the final mesh, a set of new local smoothing algorithms for anisotropic quadrilateral mesh quality enhancement has been proposed and tested in this study. Numerical examples obtained indicate that the proposed enhanced local smoothing schemes can effectively improve the quality of the quadrilateral meshes produced and increase the robustness of the mesh generation scheme. Copyright © 2003 John Wiley & Sons, Ltd.

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