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inria-00073749, version 1

A Semi-Coarsening Strategy for Unstructured MG with Agglomeration

Jérôme Francescatto 1, Alain Dervieux ()

N° RR-2950 (1996)

  • 1:  SINUS (INRIA Sophia Antipolis)

  • INRIA France

Bibliographic reference

  • Type of document: Research reports
  • Domain: Computer Science/Other
  • Title: A Semi-Coarsening Strategy for Unstructured MG with Agglomeration
  • Abstract: The extension of the ideas of multigrid to complex compressible flow calculation is generally not straightforward, especially when non-embedded grids or volume agglomerations are used in order to work with unstructured grids. In this report, we study a multigrid method for solving second order PDE's on stretched unstructured triangulations. We use the finite volume agglomeration multigrid approach developed for solving the Euler equations. First, we present a method to generate coarse grids by volume agglomeration, allowing a directional semi-coarsening based on the Poisson's equation coefficients. The second order derivatives are approximated at each level by introducing a correction factor adapted to semi-coarsening. Then, we apply this method to solve the Poisson equation and extend it to the 2D turbulent Navier-Stokes equations with a low-Reynolds boundary heatment.
  • Full text language: English
  • Publication date: 1996-07
  • Keywords: TURBULENT FLOW / COMPRESSIBLE FLOW / MULTIGRID METHODS / FINITE ELEMENTS / FINITE VOLUMES / SEMI COARSENING / NUMERICAL ANALYSIS
  • Writing date: 1996-07
  • Internal note: RR-2950

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  • inria-00073749, version 1
  • oai:hal.inria.fr:inria-00073749
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  • Submitted on: Wednesday, 24 May 2006 13:40:38
  • Updated on: Wednesday, 31 May 2006 14:24:28