Grid Generation and Adaptation by Functionals

2006/07/17 by Sanjay Kumar Khattri, khattri, sanjay kumar
Computer Science · Earth and Planetary Sciences · #65M50 #76-08 #Computational Geometry and Mesh Generation #Computer Graphics and Visualization Techniques #FOS: Mathematics #Geological Modeling and Analysis #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.math/0607388

openalex publication_date 2006/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Algebraic Mesh Quality Metrics

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