Journal Articles Journal of Computational Physics Year : 2014

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

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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Dates and versions

hal-00940302 , version 1 (31-01-2014)

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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, 2014, 257, pp.83-101. ⟨10.1016/j.jcp.2013.08.052⟩. ⟨hal-00940302⟩
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