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Title:
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High-order mesh generation on CAD geometries
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Author:
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Gargallo Peiró, Abel; Roca Navarro, Francisco Javier; Peraire Guitart, Jaume; Sarrate Ramos, Josep
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Other authors:
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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 |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Computational geometry
-high-order quality
-high-order mesh generation
-mesh optimization
-curved elements
-parameterized surfaces
-Geometria computacional |
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Rights:
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Document type:
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Article - Published version
Conference Object |
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Published by:
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Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE)
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