Schémas volumes finis sur des triangles couplés avec une analyse multirésolution
Schémas volumes finis sur des triangles couplés avec une analyse multirésolution
Summary: 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.
hyperbolic conservation law, multiresolution, finite volume scheme, algorithm, Hyperbolic conservation laws, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, numerical experiments
hyperbolic conservation law, multiresolution, finite volume scheme, algorithm, Hyperbolic conservation laws, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, numerical experiments