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    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)

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    Chapter and Conference Paper

    3-Dimensional Particulate Flow Modelling Using a Viscous Penalty Combined with a Stable Projection Scheme

    introduce a strategy for the simulation a particulate flow in a 3-dimensional domain. The particles are assumed to be rigid, and the homogeneous fluid flow to be governed by the incompressible Navier–...

    L. Batteux, J. Laminie, J.-C. Latché in Finite Volumes for Complex Applications IX… (2020)

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    Chapter and Conference Paper

    MUSCL Discretization for the Fluid Flow Convection Operator on Staggered Meshes

    propose in this paper a second order discretization of the momentum convection operator for fluid flow simulation on staggered quadrangular or hexahedral meshes. The velocity is approximated by the Rann...

    A. Brunel, R. Herbin, J.-C. Latché in Finite Volumes for Complex Applications IX… (2020)

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    Chapter and Conference Paper

    A Second Order Numerical Scheme for Large-Eddy Simulation of Compressible Flows

    the context of large eddy simulation of turbulent flows, the control of kinetic energy seems to be an essential requirement for a numerical scheme. We propose in this paper a formally second order non...

    B. Gamal, L. Gastaldo, J.-C. Latché in Finite Volumes for Complex Applications IX… (2020)

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    Chapter and Conference Paper

    A Second Order Consistent MAC Scheme for the Shallow Water Equations on Non Uniform Grids

    propose in this paper a formally second order scheme for the numerical simulation of the shallow water equations in two space dimensions, based on the so-called Marker-And-Cell (MAC) staggered discret...

    T. Gallouët, R. Herbin, J.-C. Latché in Finite Volumes for Complex Applications IX… (2020)

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    Chapter and Conference Paper

    A Marker-and-Cell Scheme for Viscoelastic Flows on Non Uniform Grids

    this paper, we develop a numerical scheme for the solution of the coupled Stokes and Navier-Stokes equations with constitutive equations describing the flow of viscoelastic fluids. The space discret...

    O. Mokhtari, Y. Davit, J.-C. Latché in Finite Volumes for Complex Applications IX… (2020)

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    Chapter and Conference Paper

    Convergence of the MAC Scheme for Variable Density Flows

    We prove in paper of an semi-implicit MAC for the time-dependent variable density Navier–Stokes equations.

    T. Gallouët, R. Herbin, J.-C. Latché in Finite Volumes for Complex Applications VI… (2017)

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    Chapter and Conference Paper

    Convergence of the MAC Scheme for the Steady-State Incompressible Navier-Stokes Equations on Non-uniform Grids

    We prove in this paper the convergence of the Marker and cell (MAC) scheme for the discretization of the steady-state incompressible Navier-Stokes equations in primitive variables on non-uniform Cartesian gri...

    R. Herbin, J.-C. Latché, K. Mallem in Finite Volumes for Complex Applications VI… (2014)

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    Chapter and Conference Paper

    Discretization of the viscous dissipation term with the MAC scheme

    We propose a discretization for the MAC scheme of the viscous dissipation term τ(u) : Δu (where τ(u) stands for the shear stress tensor associated to the velocity field u), which is suitable to obtain an uncondit...

    F. Babik, R. Herbin, W. Kheriji in Finite Volumes for Complex Applications VI… (2011)

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    Chapter and Conference Paper

    Staggered discretizations, pressure correction schemes and all speed barotropic flows

    We present in this paper a class of schemes for the solution of the barotropic Navier-Stokes equations. These schemes work on general meshes, preserve the stability properties of the continuous problem, irresp...

    L. Gastaldo, R. Herbin, W. Kheriji in Finite Volumes for Complex Applications VI… (2011)

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    Chapter and Conference Paper

    Playing with Burgers’s Equation

    The 1D Burgers equation is used as a toy model to mimick the resulting behaviour of numerical schemes when replacing a conservation law by a form which is equivalent for smooth solutions, such as the total ene...

    T. Gallouët, R. Herbin, J.-C. Latché in Finite Volumes for Complex Applications VI… (2011)

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    Chapter and Conference Paper

    A Low Degree Non–Conforming Approximation of the Steady Stokes Problem with an Eddy Viscosity

    In the context of Large Eddy Simulation, the use of a turbulence model brings the question of the implementation of the eddy–viscosity. In this communication, we propose to assess the discretization of the dif...

    F. Boyer, F. Dardalhon, C. Lapuerta in Finite Volumes for Complex Applications VI… (2011)