7 Result(s)
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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...
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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.
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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...
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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...
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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...
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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...
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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...
