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7 Result(s)

within J.-C. Latché Remove this filter Applications of Mathematics Remove this filter

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  1. No Access

    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)

  2. No Access

    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)

  3. No Access

    Chapter

    Consistent Internal Energy Based Schemes for the Compressible Euler Equations

    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 ensure the correct capture of ...

    T. Gallouët, R. Herbin, J. -C. Latché… in Numerical Simulation in Physics and Engine… (2021)

  4. No Access

    Chapter and Conference Paper

    A Staggered Pressure Correction Numerical Scheme to Compute a Travelling Reactive Interface in a Partially Premixed Mixture

    We address a turbulent deflagration model with a flow governed by the compositional Euler equations and the flame propagation represented by the transport of the characteristic function. The numerical scheme w...

    D. Grapsas, R. Herbin, J.-C. Latché… in Recent Advances in Numerical Methods for H… (2021)

  5. No Access

    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)

  6. No Access

    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)

  7. 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)