5 citations · 9 across the 4 of their papers we have counts for
5 papers
Well-posedness and potential-based formulation for the propagation of hydro-acoustic waves and tsunamis
Juliette Dubois, Sébastien Imperiale, Anne Mangeney +1
We study a linear model for the propagation of hydro-acoustic waves and tsunami in a stratified free-surface ocean. A formulation was previously obtained by linearizing the compres…
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…
Topography optimization for enhancing microalgal growth in raceway ponds
Olivier Bernard, Liu-Di Lu, Jacques Sainte-Marie +1
Modelling the evolution process for the growth of microalgae in an artificial pond is a huge challenge, given the complex interaction between hydrodynamics and biological processes…
Numerical approximation of the 3d hydrostatic Navier-Stokes system with free surface
S. Allgeyer, Marie-Odile Bristeau, D. Froger +5
In this paper we propose a stable and robust strategy to approximate the 3d incompressible hydrostatic Euler and Navier-Stokes systems with free surface. Compared to shallow water…
A robust and stable numerical scheme for a depth-averaged Euler system
N. Aissiouene, M. -O. Bristeau, E. Godlewski +1
We propose an efficient numerical scheme for the resolution of a non-hydrostatic Saint-Venant type model. The model is a shallow water type approximation of the incompressbile Eule…