11 citations · 16 across the 8 of their papers we have counts for
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Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations
Emmanuel Audusse, Marie-Odile Bristeau, Jacques Sainte-Marie +1
We are interested in the numerical approximation of the hydrostatic free surface incompressible Navier-Stokes equations. By using a layer-averaged version of the equations, we are…
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…
A combined finite volume - finite element scheme for a dispersive shallow water system
N. Aissiouene, M. -O. Bristeau, E. Godlewski +1
We propose a variational framework for the resolution of a non-hydrostatic Saint-Venant type model with bottom topography. This model is a shallow water type approximation of the i…
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system
Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau +1
A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system for shallow water flows with non-flat bottom. Among them, the hydrostatic recon…
An energy-consistent depth-averaged Euler system: derivation and properties
Marie-Odile Bristeau, Anne Mangeney, Jacques Sainte-Marie +1
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 system…
A 2D model for hydrodynamics and biology coupling applied to algae growth simulations
Olivier Bernard, Anne-Celine Boulanger, Marie-Odile Bristeau +1
Cultivating oleaginous microalgae in specific culturing devices such as raceways is seen as a future way to produce biofuel. The complexity of this process coupling non linear biol…
Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems
Jacques Sainte-Marie, Marie-Odile Bristeau
From the free surface Navier-Stokes system, we derive the non-hydrostatic Saint-Venant system for the shallow waters including friction and viscosity. The derivation leads to two f…