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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Bibliographic Details
Published in:Engineering with computers Vol. 28; no. 4; pp. 391 - 408
Main Authors: Ruiz-Gironés, Eloi, Roca, Xevi, Sarrate, Josep
Format: Journal Article Publication
Language:English
Published: London Springer-Verlag 01.10.2012
Springer Nature B.V
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:0177-0667
1435-5663
DOI:10.1007/s00366-011-0233-y