A local cell quality metric and variational grid smoothing algorithm
| Autor: | Larisa V. Branets, Graham F. Carey |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
General Engineering
Grid Topology Mathematics::Numerical Analysis Computer Science Applications Computer Science::Graphics Level set Maximum principle Modeling and Simulation Distortion Metric (mathematics) Polygon mesh Laplacian smoothing Algorithm Software Smoothing ComputingMethodologies_COMPUTERGRAPHICS Mathematics |
| Zdroj: | Engineering with Computers. 21:19-28 |
| ISSN: | 1435-5663 0177-0667 |
| DOI: | 10.1007/s00366-005-0309-7 |
| Popis: | A local cell quality metric is introduced and used to construct a variational functional for a grid smoothing algorithm. A maximum principle is proved and the properties of the local quality measure, which combines element shape and size control metrics, are investigated. Level set contours are displayed to indicate the effect of cell distortion. The approach is demonstrated for meshes of triangles and quadrilaterals in 2D and a test case with hexahedral cells in 3D. Issues such as the use of a penalty for folded meshes and the effect of valence change in the mesh patches are considered. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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