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

  • Authors:

  • R. Abgrall;H. Beaugendre;C. Dobrzynski

  • Affiliations:

  • INRIA, F-33400 Talence, France and Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France and CNRS, IMB, UMR 5251, F-33400 Talence, France;Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France and CNRS, IMB, UMR 5251, F-33400 Talence, France and INRIA, F-33400 Talence, France;Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France and CNRS, IMB, UMR 5251, F-33400 Talence, France and INRIA, F-33400 Talence, France

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2014

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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 to demonstrate that claim.