1 citations · 1 across the 2 of their papers we have counts for
3 papers
A fully well-balanced hydrodynamic reconstruction
Christophe Berthon, Victor Michel-Dansac
The present work focuses on the numerical approximation of the weak solutions of the shallow water model over a non-flat topography. In particular, we pay close attention to steady…
A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction
Victor Michel-Dansac, Christophe Berthon, Stéphane Clain +1
We develop a two-dimensional high-order numerical scheme that exactly preserves and captures the moving steady states of the shallow water equations with topography or Manning fric…
Numerical Convergence Rate for a Diffusive Limit of Hyperbolic Systems: p-System with Damping
Christophe Berthon, Marianne Bessemoulin-Chatard, Hélène Mathis
This paper deals with diffusive limit of the p-system with damping and its approximation by an Asymptotic Preserving (AP) Finite Volume scheme. Provided the system is endowed with…