Towards very high-order accurate schemes for unsteady convection problems on unstructured meshes.
Langue
en
Article de revue
Ce document a été publié dans
International Journal for Numerical Methods in Fluids. 2005, vol. 47, n° 8-9, p. 679-691
Wiley
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
unstructured meshes
hyperbolic problems
residual-distribution schemes
fluctuation splitting schemes
Origine
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