A non homogeneous Riemann Solver for shallow water and two phase flows

Fayssal Benkhaldoun (1, 2) , Laure Quivy (1, 2)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 CMLA - Centre de Mathématiques et de Leurs Applications

In this work we consider a two steps finite volume scheme, recently developed to solve nonhomogeneous systems. The first step of the scheme depends on a diffusion control parameter which we modulate, using the limiters theory. Results on Shallow water equations and two phase flows are presented.

Mots clés: Non homogeneous systems; Finite volumes; SRNHR scheme; two phase flows; Shallow water equations; Euler equations

Domaines: Analyse numérique [math.NA]

Fayssal Benkhaldoun, Laure Quivy. A non homogeneous Riemann Solver for shallow water and two phase flows. Flow, Turbulence and Combustion, 2006, 76, pp.391-402. ⟨10.1007/s10494-006-9027-5⟩. ⟨hal-00114337⟩