1. High-order mesh generation on CAD geometries
- Author
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria, Gargallo Peiró, Abel, Roca Navarro, Francisco Javier, Peraire Guitart, Jaume, Sarrate Ramos, Josep, Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria, Gargallo Peiró, Abel, Roca Navarro, Francisco Javier, Peraire Guitart, Jaume, and Sarrate Ramos, Josep
- Abstract
We present a technique to extend Jacobian-based distortion (quality) measures for planar triangles to high-order isoparametric elements of any interpolation degree on CAD parameterized surfaces. The resulting distortion (quality) measures are expressed in terms of the parametric coordinates of the nodes. These extended distortion (quality) measures can be used to check the quality and validity of a high-order surface mesh. We also apply them to simultaneously smooth and untangle high-order surface meshes by minimizing the extended distortion measure. The minimization is performed in terms of the parametric coordinates of the nodes. Thus, the nodes always lie on the surface. Finally, we include several examples to illustrate the application of the proposed technique., Peer Reviewed, Postprint (published version)
- Published
- 2013