1 citations · 2 across the 2 of their papers we have counts for
3 papers
Hyperbolicity of a semi-Lagrangian formulation of the hydrostatic free-surface Euler system
Bernard Di Martino, Chourouk El Hassanieh, Edwige Godlewski +2
By a semi-Lagrangian change of coordinates, the hydrostatic Euler equations describing free-surface sheared flows is rewritten as a system of quasilinear equations, where stability…
Layer-averaged Euler and Navier-Stokes equations
Marie-Odile Bristeau, Cindy Guichard, Bernard Di Martino +1
In this paper we propose a strategy to approximate incompressible hydrostatic free surface Euler and Navier-Stokes models. The main advantage of the proposed models is that the wat…
Simulation of a viscous fluid spreading by a bidimensional shallow water model
Bernard Di Martino, Catherine Giacomoni, Jean-Martin Paoli +1
In this paper we propose a numerical method to solve the Cauchy problem based on the viscous shallow water equations in an horizontally moving domain. More precisely, we are intere…