Search Results - "HERBIN, Raphaèle"

A Staggered Scheme for the Compressible Euler Equations on General 3D Meshes by Brunel, Aubin, Herbin, Raphaèle, Latché, Jean-Claude

“…We develop and analyze in this paper a momentum convection operator for variable density flows, and apply it to obtain a finite volume scheme for the Euler…”
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Error estimates for a numerical approximation to the compressible barotropic Navier–Stokes equations by Gallouët, Thierry, Herbin, Raphaèle, Maltese, David, Novotny, Antonin

“…We present here a general method based on the investigation of the relative energy of the system, that provides an unconditional error estimate for the…”
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A cell-centred pressure-correction scheme for the compressible Euler equations by Herbin, Raphaèle, Latché, Jean-Claude, Zaza, Chady

“…We propose a robust pressure-correction scheme for the numerical solution of the compressible Euler equations discretized by a collocated finite volume method…”
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A Unified Analysis of Elliptic Problems with Various Boundary Conditions and Their Approximation by Droniou, Jérôme, Eymard, Robert, Gallouët, Thierry, Herbin, Raphaèle

“…We design an abstract setting for the approximation in Banach spaces of operators acting in duality. A typical example are the gradient and divergence…”
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A consistent quasi–second-order staggered scheme for the two-dimensional shallow water equations by Herbin, Raphaèle, Latché, Jean-Claude, Nasseri, Youssouf, Therme, Nicolas

“…A quasi–second-order scheme is developed to obtain approximate solutions of the two-dimensional shallow water equations (SWEs) with bathymetry. The scheme is…”
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A MUSCL-type segregated – explicit staggered scheme for the Euler equations by Gastaldo, Laura, Herbin, Raphaèle, Latché, Jean-Claude, Therme, Nicolas

“…We present a numerical scheme for the solution of Euler equations based on staggered discretizations and working either on structured meshes or on general…”
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Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation by Eymard, R., Guichard, C., Herbin, R., Masson, R.

“…The gradient scheme family, which includes the conforming and mixed finite elements as well as the mimetic mixed hybrid family, is used for the approximation…”
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RTk mixed finite elements for some nonlinear problems by Eymard, Robert, Gallouët, Thierry, Herbin, Raphaèle

“…We show that the discrete operators and spaces of gradient discretizations can be designed so that the corresponding gradient scheme for a linear diffusion…”
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Pressure correction staggered schemes for barotropic one-phase and two-phase flows by Kheriji, Walid, Herbin, Raphaèle, Latché, Jean-Claude

“…•A staggered pressure correction scheme is used to compute irregular solutions of barotropic two phase inviscid flows.•The mass balance and the transport…”
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"A Note on the Entropy Solutions of the Hydrodynamic Model of Traffic Flow" Revisited by Herbin, Raphaèle, Leclercq, Ludovic

“…This note revisits a paper from Velan and Florian (Velan, S., M. Florian. 2002. A note on the entropy solutions of the hydrodynamic model of traffic flow…”
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An extension of the MAC scheme to locally refined meshes: convergence analysis for the full tensor time-dependent Navier–Stokes equations by Chénier, Eric, Eymard, Robert, Gallouët, Thierry, Herbin, Raphaèle

“…A variational formulation of the standard marker-and-cell scheme for the approximation of the Navier–Stokes problem yields an extension of the scheme to…”
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A collocated finite volume scheme to solve free convection for general non-conforming grids by Chénier, Eric, Eymard, Robert, Herbin, Raphaèle

“…We present a new collocated numerical scheme for the approximation of the Navier–Stokes and energy equations under the Boussinesq assumption for general grids,…”
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Lateral Diffusion of CO₂ in Leaves Is Not Sufficient to Support Photosynthesis by James I. L. Morison, Emily Gallouët, Lawson, Tracy, Gabriel Cornic, Herbin, Raphaèle, Baker, Neil R.

“…Lateral diffusion of CO2 was investigated in photosynthesizing leaves with different anatomy by gas exchange and chlorophyll a fluorescence imaging using…”
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Convergence of a finite volume scheme for nonlinear degenerate parabolic equations by EYMARD, Robert, GALLOUËT, Thierry, HERBIN, Raphaèle, MICHEL, Anthony

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Applications of approximate gradient schemes for nonlinear parabolic equations by Eymard, Robert, Handlovičová, Angela, Herbin, Raphaèle, Mikula, Karol, Stašová, Olga

“…We develop gradient schemes for the approximation of the Perona-Malik equations and nonlinear tensor-diffusion equations. We prove the convergence of these…”
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A discretization of the phase mass balance in fractional step algorithms for the drift-flux model by GASTALDO, Laura, HERBIN, Raphaèle, LATCHE, Jean-Claude

“…We address in this paper a parabolic equation used to model the phase mass balance in two-phase flows, which differs from the mass balance for chemical species…”
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Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods by Bradji, Abdallah, Herbin, Raphaèle

“…We consider a nonlinear system of elliptic equations, which arises when modelling the heat diffusion problem coupled with the electrical diffusion problem. The…”
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Collocated finite volume schemes for the simulation of natural convective flows on unstructured meshes by Chénier, Eric, Eymard, Robert, Herbin, Raphaèle, Touazi, Ouardia

“…We describe here a collocated finite volume scheme that was recently developed for the numerical simulation of the incompressible Navier–Stokes equations on…”
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Anti‐diffusive alternate‐directions schemes for the transport of step functions by Batteux, Léa, Duval, Fabien, Herbin, Raphaële, Latché, Jean‐Claude, Poullet, Pascal

“…The purpose in this article is to design finite‐volume schemes on structured grids for the transport of piecewise‐constant functions (typically, indicator…”
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A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data by Droniou, Jérôme, Gallouët, Thierry, Herbin, Raphaèle

“…We show here the convergence of the finite volume approximate solutions of a convection-diffusion equation to a weak solution, without the usual coercitivity…”
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