Grid Generation and Adaptation by Functionals

Details Grid Generation and Adaptation by Functionals Grid Generation and Adaptation by Functionals

2006-07-17

arxiv.org/abs/math/0607388v1

Mathematics

Numerical Analysis

13

Scientific paper

Accuracy of a simulation is strongly depend on the grid quality. Here, quality means orthogonality at the boundaries and quasi-orthogonality within the critical regions, smoothness, bounded aspect ratios, solution adaptive behaviour, etc. We review various functionals for generating high quality structured quadrilateral meshes in two dimensional domains. Analysis of Winslow and Modified Liao functionals are presented. Numerical examples are also presented to support our theoretical analysis. We will demonstrate the use of the Area functional for generating adaptive quadrilateral meshes.

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