36 citations · 68 across the 16 of their papers we have counts for
18 papers
A Consistent Quasi-Second Order Staggered Scheme for the Two-Dimensional Shallow Water Equations
R Herbin, J. -C Latché, Y Nasseri +1
A quasi-second order scheme is developed to obtain approximate solutions of the shallow water equationswith bathymetry. The scheme is based on a staggered finite volume scheme for…
Finite volume schemes and Lax-Wendroff consistency
R Eymard, T Gallouët, R Herbin +1
We present a (partial) historical summary of the mathematical analysis of finite differences and finite volumes methods, paying a special attention to the Lax-Richtmyer and Lax-Wen…
Weak Consistency of Finite Volume Schemes for Systems of Non Linear Conservation Laws: Extension to Staggered Schemes
T Gallouët, R Herbin, J. -C Latché
We prove in this paper the weak consistency of a general finite volume convection operator acting on discrete functions which are possibly not piecewise-constant over the cells of…
Modelling of a spherical deflagration at constant speed
D Grapsas, R Herbin, J. -C Latché +1
We build in this paper a numerical solution procedure to compute the flow induced by a spherical flame expanding from a point source at a constant expansion velocity, with an insta…
A staggered pressure correction numerical scheme to compute a travelling reactive interface in a partially premixed mixture
D Grapsas, Raphaèle Herbin, J. -C Latché +1
We address in this paper a model for the simulation of turbulent deflagrations in industrial applications. The flow is governed by the Euler equations for a variable composition mi…
A Class of Collocated Finite Volume Schemes for Incompressible Flow Problems
R. Eymard, R. Herbin, J. -C Latché +1
In this paper, we present a class of finite volume schemes for incompressible flow problems. The unknowns are collocated at the center of the control volumes, and the stability of…
Conservativity and Weak Consistency of a Class of Staggered Finite Volume Methods for the Euler Equations
R. Herbin, J. -C. Latché, S. Minjeaud +1
We address a class of schemes for the Euler equations with the following features: the space discretization is staggered, possible upwinding is performed with respect to the materi…
Consistent Internal Energy Based Schemes for the Compressible Euler Equations
R. Herbin, T. Gallouët, J. -C Latché +1
Numerical schemes for the solution of the Euler equations have recently been developed, which involve the discretisation of the internal energy equation, with corrective terms to e…
A decoupled staggered scheme for the shallow water equations
Raphaèle Herbin, Jean-Claude Latché, Youssouf Nasseri +1
We present a first order scheme based on a staggered grid for the shallow water equations with topography in two space dimensions, which enjoys several properties: positivity of th…
On The Weak Consistency of Finite Volumes Schemes for Conservation Laws on General Meshes
Thierry Gallouët, R. Herbin, J. -C Latché
The aim of this paper is to develop some tools in order to obtain the weak consistency of (in other words, analogues of the Lax-Wendroff theorem for) finite volume schemes for bala…
Low Mach number limit of some staggered schemes for compressible barotropic flows
R. Herbin, J. -C Latché, Khaled Saleh
In this paper, we study the behaviour at low Mach number of numerical schemes based on staggered discretizations for the barotropic Navier-Stokes equations. Three time discretizati…
Entropy estimates for a class of schemes for the euler equations
Thierry Gallouet, Raphaele Herbin, J. -C Latché +1
In this paper, we derive entropy estimates for a class of schemes for the Euler equations which present the following features: they are based on the internal energy equation (even…
Low Mach number limit of a pressure correction MAC scheme for compressible barotropic flows
Raphaele Herbin, J. -C. Latché, K. Saleh
We study the incompressible limit of a pressure correction MAC scheme [3] for the unstationary compressible barotropic Navier-Stokes equations. Provided the initial data are well-p…
Convergence of the MAC scheme for the incompressible Navier-Stokes equations
Thierry Gallouët, Raphaele Herbin, J. -C Latché +1
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 Navier-Stokes equations in…
Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations
Thierry Gallouet, Raphaele Herbin, Jean-Claude Latché +1
We prove in this paper the convergence of the Marker and Cell (MAC) scheme for the discretization of the steady state compressible and isentropic Navier-Stokes equations on two or…
A Convergent Staggered Scheme for the Variable Density Incompressible Navier-Stokes Equations
Jean-Claude Latché, Khaled Saleh
In this paper, we analyze a scheme for the time-dependent variable density Navier-Stokes equations. The algorithm is implicit in time, and the space approximation is based on a low…
An entropy preserving finite-element/finite-volume pressure correction scheme for the drift-flux model
Laura Gastaldo, Raphaele Herbin, Jean-Claude Latché
We present in this paper a pressure correction scheme for the drift-flux model combining finite element and finite volume discretizations, which is shown to enjoy essential stabili…
An unconditionnally stable pressure correction scheme for compressible barotropic Navier-Stokes equations
Thierry Gallouët, Laura Gastaldo, Jean-Claude Latché +1
We present in this paper a pressure correction scheme for barotropic compressible Navier-Stokes equations, which enjoys an unconditional stability property, in the sense that the e…