Finite volume schemes on triangles coupled with multiresolution analysis |
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Institution: | Laboratoire d''analyse numérique, Université Pierre-et-Marie-Curie, 4, place Jussieu, 75252 Paris cedex 05, France |
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Abstract: | A multiresolution procedure is used to reduce the costs of flux evaluations in a finite volume scheme. A two-dimensional hyperbolic conservation law is solved on the finest grid among a hierarchy of nested grids. The mean values of the solution on triangles of a given grid are estimated from the coarser level using an original reconstruction algorithm. The size of the differences between the mean values and their reconstruction is a local regularity criterium and dictates the choice of the flux computation method. Numerical experiments with computing time comparisons are presented. |
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