An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques

Remi Abgrall 1, 2 Héloïse Beaugendre 2, 1 Cécile Dobrzynski 2, 1
2 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : The interest on embedded boundary methods increases in Computational Fluid Dynamics (CFD) because they simplify then mesh generation problem in the case of the Navier-Stokes equations. The same simplifications occur for the simulation of multi-physics flows, the coupling of fluid-solid interactions in situation of large motions or deformations, to give a few examples. Nevertheless an accurate treatment of the wall boundary conditions remains an issue of the method. In this work, the wall boundary conditions are easily taken into account through a penalization technique, and the accuracy of the method is recovered using mesh adaptation, thanks to the potential of unstructured meshes. Several classical examples are used used to demonstrate that claim.
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Submitted on : Sunday, February 10, 2013 - 11:38:46 PM
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Remi Abgrall, Héloïse Beaugendre, Cécile Dobrzynski. An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques. [Research Report] RR-8228, 2013. ⟨hal-00786853⟩

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