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inria-00402652, version 1

Towards very high-order accurate schemes for unsteady convection problems on unstructured meshes.

R. Abgrall () a, 1, N. Andrianov b, 1, M. Mezine 1

Int. J. Numer. Methods Fluids 47, 8-9 (2005) 679-691

Résumé : Summary: We construct several high-order residual-distribution methods for two-dimensional unsteady scalar advection on triangular unstructured meshes. For the first class of methods, we interpolate the solution in the space-time element. We start by calculating the first-order node residuals, then we calculate the high-order cell residual, and modify the first-order residuals to obtain high accuracy. For the second class of methods, we interpolate the solution in space only, and use high-order finite difference approximation for the time derivative. In doing so, we arrive at a multistep residual-distribution scheme. We illustrate the performance of both methods on several standard test problems.

  • a –  Université de Bordeaux
  • b –  Universite de ordeaux
  • 1 :  Institut de Mathématiques de Bordeaux (IMB)
  • CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
  • Domaine : Mathématiques/Equations aux dérivées partielles
  • Mots-clés : residual-distribution schemes – fluctuation splitting schemes – unstructured meshes – hyperbolic problems
 
  • inria-00402652, version 1
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  • Contributeur : Rémi Abgrall <>
  • Soumis le : Mardi 7 Juillet 2009, 22:43:11
  • Dernière modification le : Mardi 7 Juillet 2009, 22:43:11