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Quadrilateral Mesh Generation with Deferred Constraint Insertion

Araujo, Chrystiano and Waldemar Celes

23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014

IMR
PROCEEDINGS

23rd International Meshing Roundtable
London, UK
October 12-15,2014

Pontifical Catholic University of Rio de Janeiro, Brazil
Email: celes@tecgraf.puc-rio.br

Summary
In this paper, we present a new method for quadrilateral mesh generation in complex 2D domains, based on deferred constraint insertion. Our method is especially designed to handle complex geological cross-sections and multi-fractured media. We first introduce a new algorithm for triangular mesh generation: starting with a initial mesh, in general simple and regular, we adaptively modify it in order to accommodate each constraint, despite its complexity. We then propose a set of heuristics to convert the achieved triangular mesh into a quadrilateral one, pursuing the alignment of elements along constraints. As a result, we achieve a very stable, ecient, good-quality, and automated mesh generator. We demonstrate the robustness of our proposal by showing resulting triangular and quadrilateral meshes for a set of geological domains with complex line constraints.

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