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

Remi Abgrall 1 Héloïse Beaugendre 1, 2 Cecile Dobrzynski 1, 2
1 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 the 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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https://hal.inria.fr/hal-00940302
Contributor : Héloïse Beaugendre <>
Submitted on : Friday, January 31, 2014 - 4:56:42 PM
Last modification on : Thursday, January 11, 2018 - 6:22:35 AM

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  • HAL Id : hal-00940302, version 1

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Remi Abgrall, Héloïse Beaugendre, Cecile Dobrzynski. An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques. Journal of Computational Physics, Elsevier, 2014, 257, pp.83-101. ⟨hal-00940302⟩

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