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  1. No Access

    Article

    Convergence of the Fully Discrete Incremental Projection Scheme for Incompressible Flows

    The present paper addresses the convergence of a first-order in time incremental projection scheme for the time-dependent incompressible Navier–Stokes equations to a weak solution. We prove the convergence of ...

    T. Gallouët, R. Herbin, J. C. Latché, D. Maltese in Journal of Mathematical Fluid Mechanics (2023)

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    Article

    Lax–Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes

    We prove in this paper the Lax–Wendroff consistency of a general finite volume convection operator acting on discrete functions which are possibly not piecewise-constant over the cells of the mesh and over the...

    T. Gallouët, R. Herbin, J.-C. Latché in SeMA Journal (2022)

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    Article

    Modelling of a spherical deflagration at constant speed

    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 instantaneous chemical reaction. T...

    D. Grapsas, R. Herbin, J.-C. Latché, Y. Nasseri in Computational and Applied Mathematics (2021)

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    Article

    On the weak consistency of finite volumes schemes for conservation laws on general meshes

    The aim of this paper is to develop some tools in order to obtain the weak consistency of (in other words, an analogue of the Lax–Wendroff theorem for) finite volume schemes for balance laws in the multi-dimen...

    T. Gallouët, R. Herbin, J.-C. Latché in SeMA Journal (2019)

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    Article

    Convergence of the Marker-and-Cell Scheme for the Incompressible Navier–Stokes Equations on Non-uniform Grids

    We prove in this paper the convergence of the Marker-and-Cell scheme for the discretization of the steady-state and time-dependent incompressible Navier–Stokes equations in primitive variables, on non-uniform ...

    T. Gallouët, R. Herbin, J.-C. Latché, K. Mallem in Foundations of Computational Mathematics (2018)

  6. No Access

    Article

    Analysis of a fractional-step scheme for the P \(_1\) radiative diffusion model

    We address in this paper a non-linear parabolic system, which is built to retain the main mathematical difficulties of the P ...

    T. Gallouët, R. Herbin, A. Larcher, J.-C. Latché in Computational and Applied Mathematics (2016)

  7. No Access

    Article

    W1,q stability of the Fortin operator for the MAC scheme

    We prove in this paper the continuity of the natural projection operator from \(W^{1,q}_{0}(\varOmega )^{d}\) , q∈[1,+∞)...

    T. Gallouët, R. Herbin, J.-C. Latché in Calcolo (2012)

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    Article

    On the stability of colocated clustered finite volume simplicial discretizations for the 2D Stokes problem

    In this paper, we give a new (and simpler) stability proof for a cell-centered colocated finite volume scheme for the 2D Stokes problem, which may be seen as a particular case of a wider class of methods analy...

    R. Eymard, R. Herbin, J.C. Latché, B. Piar in Calcolo (2007)