Search Results - "Bouchut, François"

An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows by Bouchut, François, Chalons, Christophe, Guisset, Sébastien

“…In the first part of this work, we introduce a new relaxation system in order to approximate the solutions to the barotropic Euler equations. We show that the…”
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A multiwave approximate Riemann solver for ideal MHD based on relaxation II: numerical implementation with 3 and 5 waves by Bouchut, François, Klingenberg, Christian, Waagan, Knut

“…In the first part of this work Bouchut et al. (J Comput Phys 108:7–41, 2007) we introduced an approximate Riemann solver for one-dimensional ideal MHD derived…”
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A Low Cost Semi-implicit Low-Mach Relaxation Scheme for the Full Euler Equations by Bouchut, François, Franck, Emmanuel, Navoret, Laurent

“…We introduce a semi-implicit two-speed relaxation scheme to solve the compressible Euler equations in the low Mach regime. The scheme involves a relaxation…”
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A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: theoretical framework by BOUCHUT, Francois, KLINGENBERG, Christian, WAAGAN, Knut

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Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker–Prager yield stress and application to granular collapse by Lusso, Christelle, Ern, Alexandre, Bouchut, François, Mangeney, Anne, Farin, Maxime, Roche, Olivier

“…This work is devoted to numerical modeling and simulation of granular flows relevant to geophysical flows such as avalanches and debris flows. We consider an…”
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Dilatancy in dry granular flows with a compressible μ(I) rheology by Bouchut, François, Fernández-Nieto, Enrique D., Koné, El Hadji, Mangeney, Anne, Narbona-Reina, Gladys

“…Dilatancy plays a key role in mixtures of grains and fluid but is poorly investigated in dry granular flows. These flows may however dilate by more than 10% in…”
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Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system by Audusse, Emmanuel, Bouchut, François, Bristeau, Marie-Odile, Sainte-Marie, Jacques

“…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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A multi well-balanced scheme for the shallow water MHD system with topography by Bouchut, François, Lhébrard, Xavier

“…The shallow water magnetohydrodynamic system involves several families of physically relevant steady states. In this paper we design a well-balanced numerical…”
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Influence of the scar geometry on landslide dynamics and deposits: Application to Martian landslides by Lucas, Antoine, Mangeney, Anne, Mège, Daniel, Bouchut, François

“…Landslides dynamics prediction remains difficult in spite of a considerable number of studies. The runout distance is widely used in analysis of landslide…”
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A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers by Pelanti, Marica, Bouchut, François, Mangeney, Anne

“…We present a Riemann solver derived by a relaxation technique for classical single-phase shallow flow equations and for a two-phase shallow flow model…”
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Convection and total variation flow—erratum and improvement by Bouchut, François, Doyen, David, Eymard, Robert

“…This paper includes an erratum to (Bouchut et al. (2014) Convection and total variation flow. IMA J. Numer. Anal.,34, 1037–1071.) which deals with a nonlinear…”
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Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids by Bouchut, François, Boyaval, Sébastien

“…We propose a unified framework to derive thin-layer reduced models for some shallow free-surface flows driven by gravity. It applies to incompressible…”
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A Free Interface Model for Static/Flowing Dynamics in Thin-Layer Flows of Granular Materials with Yield: Simple Shear Simulations and Comparison with Experiments by Lusso, Christelle, Bouchut, François, Ern, Alexandre, Mangeney, Anne

“…Flows of dense granular materials comprise regions where the material is flowing, and regions where it is static. Describing the dynamics of the interface…”
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Geostrophic vs magneto-geostrophic adjustment and nonlinear magneto-inertia-gravity waves in rotating shallow water magnetohydrodynamics by Zeitlin, Vladimir, Lusso, Christelle, Bouchut, François

“…The evolution of localised jets and periodic nonlinear waves in rotating shallow water magnetohydrodynamics (rotating SWMHD) and standard rotating shallow…”
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Viscoplastic modeling of granular column collapse with pressure-dependent rheology by Ionescu, Ioan R., Mangeney, Anne, Bouchut, François, Roche, Olivier

“…•The two parameters rheological model very well reproduces the laboratory experiments.•Drucker–Prager plasticity with a constant viscosity better than the μ(I)…”
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Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness by François, Bouchut, François, James

“…We introduce for the system of pressureless gases a new notion of solution, which consist in interpreting the system as two nonlinearly coupled linear…”
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Lagrangian solutions to the 2D Euler system with L 1 vorticity and infinite energy by Bohun, Anna, Bouchut, François, Crippa, Gianluca

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Lagrangian solutions to the Vlasov–Poisson system with L 1 density by Bohun, Anna, Bouchut, François, Crippa, Gianluca

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Numerical simulation of the 30–45 ka debris avalanche flow of Montagne Pelée volcano, Martinique: from volcano flank collapse to submarine emplacement by Brunet, Morgane, Moretti, Laurent, Le Friant, Anne, Mangeney, Anne, Fernández Nieto, Enrique Domingo, Bouchut, Francois

“…We simulate here the emplacement of the debris avalanche generated by the last flank collapse event of Montagne Pelée volcano (30–45 ka), Martinique, Lesser…”
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Topography Curvature Effects in Thin‐Layer Models for Gravity‐Driven Flows Without Bed Erosion by Peruzzetto, Marc, Mangeney, Anne, Bouchut, François, Grandjean, Gilles, Levy, Clara, Thiery, Yannick, Lucas, Antoine

“…Depth‐averaged thin‐layer models are commonly used to model rapid gravity‐driven flows such as debris flows or debris avalanches. However, the formal…”
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