The standard multilayer Saint-Venant system consists in introducing fluid layers that are
advected by the interfacial velocities. As a consequence there is no mass exchanges …

In this paper, we present an original derivation process of a non-hydrostatic shallow water-
type model which aims at approximating the incompressible Euler and Navier-Stokes …

This paper describes the Simulation Program for River Networks (SPRINT) that is proposed
as a tool for studying Continental River Dynamics (CRD), the solution of physics-based …

New integral, finite-volume forms of the Saint-Venant equations for one-dimensional (1-D)
open-channel flow are derived. The new equations are in the flux-gradient conservation …

We propose an extension of the discretization approaches for multilayer shallow water
models, aimed at making them more flexible and efficient for realistic applications to coastal …

Abstract Continental River Dynamics (CRD) is herein defined as modelling the flow
dynamics in all channels of a continental-scale river basin using the physics-based Saint …

The solution stability of river models using the one-dimensional (1D) Saint-Venant equations
can be easily undermined when source terms in the discrete equations do not satisfy the …

In this paper, we formulate a model for weakly compressible two-layer shallow water flows
with friction in general channels. The formulated model is non-conservative, and in contrast …

Starting from the Euler equations for incompressible flows, we propose an extension of the
classical Saint-Venant system where the non-hydrostatic pressure terms are taken into …

A formulation of the two-dimensional shallow water equations adapted to general and
complex terrains is proposed. Its derivation starts from the observation that the typical …