activity
20052023
most citedA unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods

227 citations · 323 across the 28 of their papers we have counts for

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Showing 2017Show all

6 papers · 1 filter

math.NA2017★ 3 cited

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…

math.NA2017

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.

math.NA2017

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…

math.NA2017

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…

math.NA2017

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…

math.NA2017★ 36 cited

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…