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
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
UPMC Univ Paris 06, UMR 7598, Laboratoire J.L. Lions, F-75005 Paris, France
Universidad de Chile, UMI 2807, Centro de Modelamiento Matem¥atico,
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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