Generation of structured hexahedral meshes in volumes with holes

The submapping method is one of the most used techniques to generate structured hexahedral meshes. This method splits the geometry into pieces logically equivalent to an hexahedron. Then, it meshes each patch keeping the mesh compatibility between pieces by solving an integer linear problem. The qua...

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Veröffentlicht in:Finite elements in analysis and design Jg. 46; H. 10; S. 792 - 804
Hauptverfasser: Ruiz-Gironés, E., Sarrate, J.
Format: Journal Article Verlag
Sprache:Englisch
Veröffentlicht: Amsterdam Elsevier B.V 01.10.2010
Elsevier
Schlagworte:
Algorithms
Anàlisi numèrica
Computational geometry
Design engineering
Discretization
Elements finits, Mètode dels
Equivalence
Exact sciences and technology
Finite element method
Geometria
Geometria computacional
Intervals
Linear programming
Matemàtiques i estadística
Mathematical analysis
Mathematical models
Mathematics
Mesh generation
Methods of scientific computing (including symbolic computation, algebraic computation)
Multiply connected geometries
Numerical analysis. Scientific computation
Numerical grid generation (Numerical analysis)
Numerical methods and algorithms
Programació lineal
Sciences and techniques of general use
Structured hexahedra
Submapping
Transfinite interpolation
Àrees temàtiques de la UPC
Structured hexahedra
Linear programming
Submapping
Multiply connected geometries
Mesh generation
Transfinite interpolation
Hole
Automatic mesh generation
Modeling
Polyhedron
Discretization
Volume
Objective function
Compatibility
Data structure
ISSN:0168-874X, 1872-6925
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Zusammenfassung:The submapping method is one of the most used techniques to generate structured hexahedral meshes. This method splits the geometry into pieces logically equivalent to an hexahedron. Then, it meshes each patch keeping the mesh compatibility between pieces by solving an integer linear problem. The quality of the final discretization is governed by the objective function that defines the linear problem. Thus, in this work we propose a new objective function that better distributes the number of intervals among the edges of the geometry. In addition, special procedures have to be developed in order to apply the submapping method to volumes with holes. This article also presents two original contributions to efficiently mesh geometries that contain holes. Finally, it presents several numerical examples that show the applicability of the developed algorithms.
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ISSN:0168-874X
1872-6925
DOI:10.1016/j.finel.2010.04.005