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Conformal Refinement of All-Quadrilateral and All-Hexahedral Meshes According to an Anisotropic Metric

Tchon, Ko-Foa, Julien Dompierre and Ricardo Camarero

Proceedings, 11th International Meshing Roundtable, Springer-Verlag, pp.231-242, September 15-18 2002

IMR
PROCEEDINGS

11th International Meshing Roundtable
Ithaca, New York, USA.
September 15-18 2002

Centre de recherche en calcul appliquÈ (CERCA)
5160, boul. DÈcarie, bureau 400, MontrÈal, QC, H3X 2H9, Canada.
[tchon|julien|ricardo]@cerca.umontreal.ca

Abstract
Conformal refinement using a shrink and connect strategy known as pillowing or buffer insertion contracts contiguous elements of an all-quadrilateral or an all-hexahedral mesh and reconnects them to locally increase vertex density. Using layers as shrink sets, the present method anisotropically refines an initial mesh to match a prescribed size map expressed as a metric field. An anisotropic smoother further enhances vertex clustering to capture the features of the metric. Both two and three-dimensional test cases confirm the feasibility of such an approach. The present refinement method is not yet complete, however, because it lacks local vertex removal and reconnection capabilities. It is, nevertheless, a step towards an automated tool for conformal adaptation of all-quadrilateral and all-hexahedral meshes.

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