132 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institut de Mathématiques de MarseilleFR110 papers
- Institut Polytechnique de BordeauxFR70 papers
- Centre National de la Recherche ScientifiqueFR53 papers
- Université de BordeauxFR53 papers
- Château GombertFR36 papers
- Arts et MétiersFR19 papers
- Aix-Marseille UniversitéFR13 papers
- Rutgers, The State University of New JerseyUS12 papers
- Institut de Radioprotection et de Sûreté NucléaireFR9 papers
- Institut National de Recherche pour l'Agriculture, l'Alimentation et l'EnvironnementFR8 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR7 papers
- Institut de Mathématiques de BordeauxFR7 papers
24 papers · 1 filter
Semi-implicit Eulerian method for the fluid structure interaction of elastic membranes
Mirco Ciallella, Thomas Milcent
In this paper we propose a novel and general approach to design semi-implicit methods for the simulation of fluid-structure interaction problems in a fully Eulerian framework. In o…
A MUSCL-like finite volumes approximation of the momentum convection operator for low-order nonconforming face-centred discretizations
Aubin Brunel, Raphaele Herbin, Jean-Claude Latché
We propose in this paper a discretization of the momentum convection operator for fluid flow simulations on quadrangular or hexahedral meshes. The space discretization is performed…
A staggered scheme for the compressible Euler equations on general 3D meshes
Aubin Brunel, Raphaèle Herbin, Jean-Claude Latché
We address here the discretization of the momentum convection operator for fluid flow simulations on 2D triangular and quadrangular meshes and 3D polyhedral meshes containing hexah…
A new convergence proof for approximations of the Stefan problem
Robert Eymard, Thierry Gallouët
We consider the Stefan problem, firstly with regular data and secondly with irregular data. In both cases is given a proof for the convergence of an approximation obtained by regul…
Arbitrary High Order WENO Finite Volume Scheme with Flux Globalization for Moving Equilibria Preservation
Mirco Ciallella, Davide Torlo, Mario Ricchiuto
In the context of preserving stationary states, e.g. lake at rest and moving equilibria, a new formulation of the shallow water system, called Flux Globalization has been introduce…
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…
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…
Highly efficient schemes for time fractional Allen-Cahn equation using extended SAV approach
Dianming Hou, Hongyi Zhu, Chuanju Xu
In this paper, we propose and analyze high order efficient schemes for the time fractional Allen-Cahn equation. The proposed schemes are based on the L1 discretization for the time…
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…
A convergent FV-FEM scheme for the stationary compressible Navier-Stokes equations
Charlotte Perrin, Khaled Saleh
In this paper, we propose a discretization of the multi-dimensional stationary compressible Navier-Stokes equations combining finite element and finite volume techniques. As the me…
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 Müntz-Collocation spectral method for weakly singular volterra integral equations
Dianming Hou, Yumin Lin, Mejdi Azaiez +1
In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the second kind Volterra integral equations (VIEs) with weakly singular kernel $(x-s)^{-μ},…
The gradient discretisation method for linear advection problems
Jérôme Droniou, Robert Eymard, T. Gallouët +1
We adapt the Gradient Discretisation Method (GDM), originally designed for elliptic and parabolic partial differential equations, to the case of a linear scalar hyperbolic equation…
Finite element method with local damage on the mesh
Michel Duprez, Vanessa Lleras, Alexei Lozinski
We consider the finite element method on locally damaged meshes allowing for some distorted cells which are isolated from one another. In the case of the Poisson equation and piece…
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…
Convergence of the mac scheme for variable density flows
Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché +1
We prove in this paper the convergence of an semi-implicit MAC scheme for the time-dependent variable density Navier-Stokes equations.
Two models for the computation of laminar flames in dust clouds
Dionysios Grapsas, Raphaele Herbin, J Latché
We address two models for the simulation of dust clouds premixed combustion: the first one consists in usual balance equations, to derive the second one, we suppose that the soluti…
Analysis of a fractional-step scheme for the P1 radiative diffusion model
Raphaele Herbin, Thierry Gallouët, Jean-Claude Latché +1
We address in this paper a nonlinear parabolic system, which is built to retain the main mathematical difficulties of the P1 radiative diffusion physical model. We propose a finite…
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 simple Cartesian scheme for compressible multimaterials
Yannick Gorsse, Angelo Iollo, Thomas Milcent +1
We present a simple numerical method to simulate the interaction of two non-miscible compressible materials separated by an interface. The media considered may have significantly d…