Discrete kinetic finite volume schemes for multidimensional systems of conservation laws on unstructured non cartesian grid

Denise Aregba-Driollet (1) , Frédéric Krantz (1)

1 IMB - Institut de Mathématiques de Bordeaux

We construct a family of Riemann solver free finite volume schemes. The method is based on a relaxation approximation which takes the form of a BGK system. We prove convergence for unstructured grids in the scalar case and we present 2D computations for Euler equations.

Domaines: Analyse numérique [math.NA]

Denise Aregba-Driollet, Frédéric Krantz. Discrete kinetic finite volume schemes for multidimensional systems of conservation laws on unstructured non cartesian grid. ECCOMAS CFD 2010, 2010, Portugal. pp.978-989-96778-1-4. ⟨hal-00959531⟩