We consider the Saint-Venant system for shallow water flows, with nonflat bottom. It is a
hyperbolic system of conservation laws that approximately describes various geophysical …

This book is devoted to finite volume methods for hyperbolic systems of conservation laws. It
differs from previous expositions on the subject in that the accent is put on the development …

We present one-and two-dimensional central-upwind schemes for approximating solutions
of the Saint-Venant system with source terms due to bottom topography. The Saint-Venant …

The aim of this paper is to present a numerical scheme to compute Saint-Venant equations
with a source term, due to the bottom topography, in a one-dimensional framework, which …

Numerical modeling of debris avalanche is presented here. The model uses the long‐wave
approximation based on the small aspect ratio of debris avalanches as in classical Saint …

The entrainment of channel-path material plays an important role during runout of many
rapid landslides. Such a mechanism is able to change the mobility of a flow significantly …

This paper is about the extension of the gas-kinetic BGK scheme to the shallow-water
equations with source terms. In the current study, the particle velocity change due to the …

We consider the system of partial differential equations governing the one-dimensional flow
of two superposed immiscible layers of shallow water. The difficulty in this system comes …

Background Tailings dams are made up of mining residue deposits, and they represent a
high risk, in terms of mechanical instability. In the event of collapse, the tailings in such dams …

L'objectif de ce travail est le développement d'un modèle et d'une méthode numérique
adaptés à la simulation duruissellement d'eau de pluie sur des surfaces agricoles. Pour …