Search Results - "Herbin, Raphaele"

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

"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…”
Get full text

Finite volume schemes and Lax–Wendroff consistency by Eymard, Robert, Gallouët, Thierry, Herbin, Raphaele, Latché, Jean-Claude

“…We present a (partial) historical summary of the mathematical analysis of finite difference and finite volume methods, paying special attention to the…”
Get full text

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…”
Get full text

A centered limited finite volume approximation of the momentum convection operator for low‐order nonconforming face‐centered discretizations by Brunel, A., Herbin, R., Latché, J.‐C.

“…We propose in this article a discretization of the momentum convection operator for fluid flow simulations on quadrangular or generalized hexahedral meshes…”
Get full text

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,…”
Get full text

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…”
Get full text

Vertex-centred discretization of multiphase compositional Darcy flows on general meshes by Eymard, Robert, Guichard, Cindy, Herbin, Raphaele, Masson, Roland

“…This paper concerns the discretisation on general 3D meshes of multiphase compositional Darcy flows in heterogeneous anisotropic porous media. Extending Coats’…”
Get full text

Convergence of the MAC scheme for the incompressible Navier-Stokes equations by Gallouët, Thierry, Herbin, Raphaele, Latché, J.-C, Mallem, K.

“…We prove in this paper the convergence of the Marker and cell (MAC) scheme for the dis-cretization of the steady-state and unsteady-state incompressible…”
Get full text

Convergence of a finite volume scheme for nonlinear degenerate parabolic equations by EYMARD, Robert, GALLOUËT, Thierry, HERBIN, Raphaèle, MICHEL, Anthony

Get full text

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…”
Get full text