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Anisotropic Delaunay Mesh Adaptation for Unsteady Simulations

Dobrzynski, C. and P. Frey

Proceedings, 17th International Meshing Roundtable, Springer-Verlag, pp.177-194, October 12-15 2008

IMR
PROCEEDINGS

17th International Meshing Roundtable
Pittsburgh, Pennsylvania, U.S.A.
October 12-15, 2008

IMB, UMR 5251, Universit¥e Bordeaux 1, 351 cours de la Lib¥eration,
33405 Talence cedex, France and INRIA Futurs, Scalapplix team
cecile.dobrzynski@math.u-bordeaux1.fr
UPMC Univ Paris 06, UMR 7598, Laboratoire J.L. Lions, F-75005 Paris, France
frey@ann.jussieu.fr
Universidad de Chile, UMI 2807, Centro de Modelamiento Matem¥atico,
Santiago, Chile

Abstract
Anisotropic mesh adaptation is a key feature in many numerical simulations to capture the physical behavior of a complex phenomenon at a reasonable computational cost. It is a challenging problem, especially when dealing with time dependent and interface capturing or tracking problems. In this paper, we describe a local mesh adaptation method based on an extension of the Delaunay kernel for creating anisotropic mesh elements with respect to adequate metric tensors. In addition, we show that this approach can be successfully applied to deal with fluid-structure interaction problems where parts of the domain boundaries undergo large displacements. The accuracy and efficiency of the method is assessed on various numerical examples of complex three-dimensional simulations.

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