36 citations · 36 across the 2 of their papers we have counts for
3 papers
Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density
Jean-Paul Vila, Gael Richard, Didier Bresch +7
In this paper, we introduce a new extended version of the shallow water equations with surface tension which is skew-symmetric with respect to the L2 scalar product and allows for…
An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification
Frédéric Couderc, Arnaud Duran, Jean-Paul Vila
We present an explicit scheme for a two-dimensional multilayer shallow water model with density stratification, for general meshes and collocated variables. The proposed strategy i…
New Extended Formulations of Euler-Korteweg Equations Based on a Generalization of the Quantum Bohm Identity
Didier Bresch, Frédéric Couderc, Pascal Noble +1
In this note, we propose an original extended formulation of Euler-Korteweg systems based on a generalization of the quantum Bohm potential identity. This new formulation allows to…