ABGRALL, Remi; BEAUGENDRE, Héloïse; DOBRZYNSKI, Cecile

doi:10.1016/j.jcp.2013.08.052

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ABGRALL, Remi
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]

BEAUGENDRE, Héloïse
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]

DOBRZYNSKI, Cecile
Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
Institut de Mathématiques de Bordeaux [IMB]

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Journal of Computational Physics. 2014, vol. 257, p. 83-101

Elsevier

Résumé en anglais

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.< Réduire

Mots clés en anglais

Penalization technique

unstructured mesh

level-set

anisotropic mesh

mesh adaptation

embedded method

Navier Stokes equations.

Navier Stokes equations

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

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