A non-negativity preserving and well-balanced scheme that exactly preserves all the smooth
steady states of the shallow water system, including the moving ones, is proposed. In …

We consider the shallow-water equations with Manning friction or topography, as well as a
combination of both these source terms. The main purpose of this work concerns the …

The numerical solutions of shallow water equations are useful for applications related to
geophysical flows that usually take place in large computational domains and could require …

The goal of this work is to develop high-order well-balanced schemes for the one-
dimensional shallow-water equations with Coriolis terms. The main contribution is the …

The present work is devoted to the derivation of a fully well-balanced and positivepreserving
numerical scheme for the shallow water equations with Coriolis force. The first main issue …

Recent applications of remote sensing techniques produce rich spatially distributed
observations for flood monitoring. In order to improve numerical flood prediction, we have …

The goal of this paper is to obtain a well-balanced, stable, fast, and robust HLLC-type
approximate Riemann solver for a hyperbolic nonconservative PDE system arising in a …

We study the superposition of 1D and 2D shallow-water equations with non-flat
topographies, in the context of river-flood modeling. Since we superpose both models in the …

We address the problem of coupling 2D shallow water equations with 1D shallow water
equations (St-Venant equations), as applied to river-floodplain flows. Mathematical coupling …

A non-hydrostatic depth-averaged model for dry granular flows is proposed, taking into
account vertical acceleration. A variable friction coefficient based on the μ (I) μ (I) rheology is …