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5 papers · 2 filters
On a C2-nonlinear subdivision scheme avoiding Gibbs oscillations
Sergio Amat, Karine Dadourian, Jacques Liandrat
This paper is devoted to the presentation and the analysis of a new nonlinear subdivision scheme eliminating the Gibbs oscillations close to discontinuities. Its convergence, stabi…
A unified approach to Mimetic Finite Difference, Hybrid Finite Volume and Mixed Finite Volume methods
Jerome Droniou, Robert Eymard, Thierry Gallouët +1
We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids. We prove that the Mimetic Fi…
A collocated finite volume scheme to solve free convection for general non-conforming grids
Eric Chénier, Robert Eymard, Raphaele Herbin
We present a new collocated numerical scheme for the approximation of the Navier-Stokes and energy equations under the Boussinesq assumption for general grids, using the velocity-p…
An entropy preserving finite-element/finite-volume pressure correction scheme for the drift-flux model
Laura Gastaldo, Raphaele Herbin, Jean-Claude Latché
We present in this paper a pressure correction scheme for the drift-flux model combining finite element and finite volume discretizations, which is shown to enjoy essential stabili…
Discretisation of heterogeneous and anisotropic diffusion problems on general non-conforming meshes. SUSHI: a scheme using stabilisation and hybrid interfaces
Robert Eymard, Thierry Gallouët, Raphaele Herbin
A discretisation scheme for heterogeneous anisotropic diffusion problems on general meshes is developed and studied. The unknowns of this scheme are the values at the centre of the…