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An Automatic and General Least-Squares Projection Procedure for Sweep Meshing

Roca, Xevi and Josep Sarrate

Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.487-506, September 17-20 2006

IMR
PROCEEDINGS

15th International Meshing Roundtable
Birmingham, Alabama, U.S.A.
September 17-20, 2006

Laboratori de Calcul Numeric, ETSE de Camins, Canals i Ports de Barcelona, Universitat Politecnica de Catalunya, Edifici C2, Jordi Girona 1-3, E-08034 Barcelona, Spain
xevi.roca@upc.edu, jose.sarrate@upc.edu

Abstract
In this paper we present a new node projection scheme to generate hexahedral meshes in sweeping geometries. It is based on a least-squares approximation of an affine mapping. In the last decade several functionals have been defined to perform this least-square approximation. However, all of them present several shortcomings in preserving the shape of the inner part of the projected meshes, i.e. the offset data, for simple and usual geometrical configurations. To overcome these drawbacks we propose to minimize a more general functional that depends on two vector parameters. Moreover, we detail a procedure that automatically selects these parameters in such a way that offset data is maintained in the inner part of projected meshes.

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