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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| Vydáno v: | Finite elements in analysis and design Ročník 46; číslo 10; s. 792 - 804 |
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| Médium: | Journal Article Publikace |
| Jazyk: | angličtina |
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Elsevier B.V
01.10.2010
Elsevier |
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| ISSN: | 0168-874X, 1872-6925 |
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| Abstract | 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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| AbstractList | 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. 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. |
| Author | Ruiz-Gironés, E. Sarrate, J. |
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| Cites_doi | 10.1007/s00366-009-0161-2 10.1007/s00366-009-0172-z 10.1007/BF01198730 10.1016/j.advengsoft.2009.06.009 10.1002/nme.1620381910 10.1002/(SICI)1097-0207(19970115)40:1<111::AID-NME56>3.0.CO;2-K 10.1002/(SICI)1097-0207(19961015)39:19<3327::AID-NME2>3.0.CO;2-H 10.1007/BF01198733 10.1142/S0218195900000231 10.1007/s003660050016 10.1007/BF01198732 10.1016/S0045-7825(99)00199-1 |
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| Contributor | 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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| Copyright | 2010 Elsevier B.V. 2015 INIST-CNRS Attribution-NonCommercial-NoDerivs 3.0 Spain info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/3.0/es |
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| Keywords | 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 |
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| Snippet | The submapping method is one of the most used techniques to generate structured hexahedral meshes. This method splits the geometry into pieces logically... The submapping method is one of the most used techniques to generate structured hexahedral meshes. This method splits the geometry into pieces logically... |
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| SubjectTerms | 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 |
| Title | Generation of structured hexahedral meshes in volumes with holes |
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