A hybrid linking approach for solving the conservation equations with an adaptive mesh refinement method

  • Authors:
  • Stephanie Delage;Stephane Vincent;Jean-Paul Caltagirone;Jean-Philippe Heliot

  • Affiliations:
  • Laboratoire TREFLE, Universite de science Bordeaux, Pessac, France;Laboratoire TREFLE, Universite de science Bordeaux, Pessac, France;Laboratoire TREFLE, Universite de science Bordeaux, Pessac, France;CEA-CESTA, Le Barp, France

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue: The international conference on computational methods in sciences and engineering 2004
  • Year:
  • 2006

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Abstract

Accurate numerical computation of complex flows on a single grid requires very fine meshes to capture phenomena occurring at both large and small scales. The use of adaptive mesh refinement (AMR) methods, significantly reduces the involved computational time and memory. In the present article, a hybrid linking approach for solving the conservation equations with an AMR method is proposed. This method is essentially a coupling between the h-AMR and the multigrid methods. The efficiency of the present approach has been demonstrated by solving species and Navier-Stokes equations.