5 Result(s)
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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...
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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...
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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...
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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 ...
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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 ...
