53 citations · 53 across the 6 of their papers we have counts for
7 papers
Nonparametric face-based finite element methods on complex hybrid three-dimensional meshes
Aubin Brunel, J. -C. Latch{é}
In this work, we propose and analyze low-order nonconforming face-based finite element methods for elliptic problems on complex hybrid three-dimensional meshes, composed of arbitra…
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…
Convergence of the implicit MAC-discretized Navier--Stokes equations with variable density and viscosity on non-uniform grids
Léa Batteux, Thierry Gallouët, Raphaele Herbin +2
The present paper is focused on the proof of the convergence of the discrete implicit Marker-and-Cell (MAC) scheme for time-dependent Navier--Stokes equations with variable density…
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…
A convergent Finite Element-Finite Volume scheme for the compressible Stokes problem Part I -- the isothermal case
Thierry Gallouët, Raphaele Herbin, Jean-Claude Latché
In this paper, we propose a discretization for the (nonlinearized) compressible Stokes problem with a linear equation of state , based on Crouzeix-Raviart elements. The approx…
Convergence analysis of a colocated finite volume scheme for the incompressible Navier-Stokes equations on general 2 or 3D meshes
Robert Eymard, Raphaele Herbin, Jean-Claude Latché
We study a colocated cell centered finite volume method for the approximation of the incompressible Navier-Stokes equations posed on a 2D or 3D finite domain. The discrete unknowns…