Solène Bulteau
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View article: A multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations
A multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations Open
We present a new multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations. This scheme relies on relaxation and splitting techniques and can be easily used at high order. A fully conservative version is…
View article: An asymptotic preserving scheme for the shallow‐water equations with Manning friction using viscous correction of the HLL scheme
An asymptotic preserving scheme for the shallow‐water equations with Manning friction using viscous correction of the HLL scheme Open
The aim of this article is to propose a numerical scheme for the shallow‐water equations with a Manning's friction source term able to preserve the diffusive regime, namely the behavior of the solutions in long time and stiff friction limi…
View article: A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms
A Very Easy High-Order Well-Balanced Reconstruction for Hyperbolic Systems with Source Terms Open
International audience
View article: A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with Manning friction
A fully well-balanced and asymptotic preserving scheme for the shallow-water equations with Manning friction Open
The aim of this paper is to prove the preservation of the diffusive limit by a numerical scheme for the shallow-water equations with a Manning friction source term. This asymptotic behavior coincides with the long time and stiff friction l…
View article: Convergence rate of an asymptotic preserving scheme for the diffusive limit of the p-system with damping
Convergence rate of an asymptotic preserving scheme for the diffusive limit of the p-system with damping Open
International audience