Search Results - "Audusse, Emmanuel"
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Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system
Published in Mathematics of computation (01-11-2016)“…A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system for shallow water flows with nonflat bottom. Among them,…”
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Journal Article -
2
A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes
Published in Journal of computational physics (10-06-2005)“…We consider the solution of the Saint-Venant equations with topographic source terms on 2D unstructured meshes by a finite volume approach. We first present a…”
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Journal Article -
3
Godunov type scheme for the linear wave equation with Coriolis source term
Published in ESAIM. Proceedings and surveys (01-01-2017)“…We propose a method to explain the behaviour of the Godunov finite volume scheme applied to the linear wave equation with Coriolis source term at low Froude…”
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4
Numerical simulations of the inviscid burgers equation with periodic boundary conditions and stochastic forcing
Published in ESAIM. Proceedings and surveys (01-01-2015)“…We perform numerical simulations in the one-dimensional torus for the first order Burgers equation forced by a stochastic source term with zero spatial…”
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5
Numerical simulation of the dynamics of sedimentary river beds with a stochastic Exner equation
Published in ESAIM. Proceedings and surveys (01-01-2015)“…At the scale of a river reach, the dynamics of the river bed is typically modelled by Exner equation (conservation of the solid mass) with an empirical solid…”
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Journal Article -
6
A fast finite volume solver for multi-layered shallow water flows with mass exchange
Published in Journal of computational physics (01-09-2014)“…A fast finite volume solver for hydrostatic multi-layered shallow water flows with mass exchange is investigated. In contrast to many models for multi-layered…”
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7
Analysis of modified Godunov type schemes for the two-dimensional linear wave equation with Coriolis source term on cartesian meshes
Published in Journal of computational physics (15-11-2018)“…The study deals with collocated Godunov type finite volume schemes applied to the two-dimensional linear wave equation with Coriolis source term. The purpose…”
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8
A simple three‐wave approximate Riemann solver for the Saint‐Venant‐Exner equations
Published in International journal for numerical methods in fluids (10-08-2018)“…Summary Erosion and sediments transport processes have a great impact on industrial structures and on water quality. Despite its limitations, the…”
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Journal Article -
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Approximation of the hydrostatic Navier–Stokes system for density stratified flows by a multilayer model: Kinetic interpretation and numerical solution
Published in Journal of computational physics (01-05-2011)“…We present a multilayer Saint-Venant system for the numerical simulation of free surface density-stratified flows over variable topography. The proposed model…”
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10
Numerical approximation of the shallow water equations with coriolis source term
Published in ESAIM. Proceedings and surveys (01-01-2021)“…We investigate in this work a class of numerical schemes dedicated to the non-linear Shallow Water equations with topography and Coriolis force. The proposed…”
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11
Comparison of models for the simulation of landslide generated Tsunamis
Published in ESAIM. Proceedings and surveys (2021)“…In this paper, we analyze the relevance of the use of the shallow water model and the Boussinesq model to simulate tsunamis generated by a landslide. In a…”
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12
Parametric Study of the Accuracy of an Approximate Solution for the Mild-Slope Equation
Published in 2017 19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC) (01-09-2017)“…In this paper, we call and study a classical equation modeling the refraction and diffraction phenomena of water waves in harbors. This equation is called the…”
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Conference Proceeding -
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Kinetic entropy for the layer-averaged hydrostatic Navier-Stokes equations
Published 11-10-2017“…We are interested in the numerical approximation of the hydrostatic free surface incompressible Navier-Stokes equations. By using a layer-averaged version of…”
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Journal Article -
14
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system
Published 12-09-2014“…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,…”
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Journal Article -
15
Optimized Schwarz waveform relaxation for Primitive Equations of the ocean
Published 22-05-2009“…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…”
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Journal Article -
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Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow
Published 01-07-2013“…ESAIM: Proc. 43 (2013) 80-94 In this work we are interested in numerical simulations for bedload erosion processes. We present a relaxation solver that we…”
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Journal Article -
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A multilayer Saint-Venant system with mass exchanges for Shallow Water flows. Derivation and numerical validation
Published 25-01-2009“…Modelisation Math\'ematique et Analyse Num\'erique (2009) 1-30 The standard multilayer Saint-Venant system consists in introducing fluid layers that are…”
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Journal Article