The receding front method applied to hexahedral mesh generation of exterior domains

Two of the most successful methods to generate unstructured hexahedral meshes are the grid-based methods and the advancing front methods. On the one hand, the grid-based methods generate high-quality hexahedra in the inner part of the domain using an inside–outside approach. On the other hand, advan...

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Vydané v:	Engineering with computers Ročník 28; číslo 4; s. 391 - 408
Hlavní autori:	Ruiz-Gironés, Eloi, Roca, Xevi, Sarrate, Josep
Médium:	Journal Article Publikácia
Jazyk:	English
Vydavateľské údaje:	London Springer-Verlag 01.10.2012 Springer Nature B.V
Predmet:	68 Computer science 68U Computing methodologies and applications Boundaries CAE) and Design Calculus of Variations and Optimal Control; Optimization Classical Mechanics Classificació AMS Computer graphics Computer Science Computer-Aided Engineering (CAD Control Eikonal equation Exteriors Finite element method Geometria Geometria computacional Matemàtiques i estadística Math. Applications in Chemistry Mathematical analysis Mathematical and Computational Engineering Mathematical models Mesh generation Number theory Original Article Systems Theory Unstructured hexahedra Àrees temàtiques de la UPC Eikonal equation Mesh generation Unstructured hexahedra
ISSN:	0177-0667, 1435-5663
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Popis
Shrnutí:	Two of the most successful methods to generate unstructured hexahedral meshes are the grid-based methods and the advancing front methods. On the one hand, the grid-based methods generate high-quality hexahedra in the inner part of the domain using an inside–outside approach. On the other hand, advancing front methods generate high-quality hexahedra near the boundary using an outside–inside approach. To combine the advantages of both methodologies, we extend the receding front method: an inside–outside mesh generation approach by means of a reversed advancing front. We apply this approach to generate unstructured hexahedral meshes of exterior domains. To reproduce the shape of the boundaries, we first pre-compute the mesh fronts by combining two solutions of the Eikonal equation on a tetrahedral reference mesh. Then, to generate high-quality elements, we expand the quadrilateral surface mesh of the inner body towards the unmeshed external boundary using the pre-computed fronts as a guide.
Bibliografia:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23
ISSN:	0177-0667 1435-5663
DOI:	10.1007/s00366-011-0233-y