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- Emmanuel Audusse, FranÃ§ois Bouchut, Marie-Odile Bristeau, Rupert Klein, Benoit Perthame
- SIAM J. Scientific Computing
- 2004

We consider the Saint-Venant system for shallow water flows, with nonflat bottom. It is a hyperbolic system of conservation laws that approximately describes various geophysical flows, such as rivers, coastal areas, and oceans when completed with a Coriolis term, or granular flows when completed with friction. Numerical approximate solutions to this systemâ€¦ (More)

- Emmanuel Audusse, M. O. Bristeau, BenÃ´Ä±t Perthame, Jacques Sainte-Marie
- 2009

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 between these layers and each layer is described by its height and its average velocity. Here we introduce another multilayer system with mass exchanges between the neighborhing layersâ€¦ (More)

The aim of this paper is to present a finite volume kinetic method to compute the transport of a passive pollutant by a flow modeled by the shallow water equations using a new time discretization that allows large time steps for the pollutant computation. For the hydrodynamic part the kinetic solver ensures â€“ even in the case of a non flat bottom â€“ theâ€¦ (More)

- Emmanuel Audusse, Marie-Odile Bristeau, Marica Pelanti, Jacques Sainte-Marie
- J. Comput. Physics
- 2011

- Emmanuel Audusse, Christophe Chalons, +5 authors Georges Sadaka
- 2012

In this note we are interested in the modelling of sediment transport phenomena. We mostly focus on bedload transport and we do not consider suspension sediment processes. We first propose a coupled numerical scheme for the classical Saint-Venant â€“ Exner model. It is based on a relaxation approach and it works with all sediment flux function. We exhibitâ€¦ (More)

- Emmanuel Audusse, Eric Blayo, Laurence Halpern, Caroline Japhet, V. Martin, E. NOURTIER-MAZAURIC
- 2007

The ocean circulation is notably heterogeneous, both in time and space: models have to deal with phenomena as varied as mesoscale eddies, fronts, and the general circulation. A single ocean general circulation model (OGCM) cannot describe completely such a various physics. A way to improve modelling is to couple OGCMs with high resolution regional oceanâ€¦ (More)

- Emmanuel Audusse, M.-O. Bristeau, Marica Pelanti, Jacques Sainte-Marie
- 2011

Due to computational issues associated with the free surface NavierStokes or Euler equations, the simulations of geophysical flows are often carried out with shallow water type models of reduced complexity. Thus the hydrostatic assumption for shallow water flows leads to non-linear hyperbolic systems of Saint-Venant type [1]. For these vertically averagedâ€¦ (More)

- Emmanuel Audusse, Pierre Dreyfuss, BenoÃ®t Merlet
- SIAM J. Scientific Computing
- 2010

In this article we are interested in the derivation of efficient domain decomposition methods for the viscous primitive equations of the ocean. We consider the rotating 3d incompressible hydrostatic Navier-Stokes equations with free surface. Performing an asymptotic analysis of the system with respect to the Rossby number, we compute an approximatedâ€¦ (More)

- Emmanuel Audusse, Rupert Klein, A. Owinoh
- J. Comput. Physics
- 2009

In this article we are interested in the problem of numerical simulations for a shallow fluid flow in a rotating system. This problem is closely related to climate or meteorological simulations. Our purpose is to introduce a new finite volume technique which allows us to guarantee conservation of linear momentum in an inertial frame of reference.â€¦ (More)

- Emmanuel Audusse, Fayssal Benkhaldoun, Saida Sari, Mohammed SeaÃ¯d, Pablo Tassi
- J. Comput. Physics
- 2014