Rémi Bourgeois
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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: Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-Projection-type method for gas dynamics
Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-Projection-type method for gas dynamics Open
In this paper, we propose a modification of an acoustic-transport operator splitting Lagrange-projection method for simulating compressible flows with gravity. The original method involves two steps that respectively account for acoustic a…
View article: Multi-dimensional numerical modelling of heavy ion transport in matter using a fast and accurate method
Multi-dimensional numerical modelling of heavy ion transport in matter using a fast and accurate method Open
Simulations of ion slowing-down beams in thick targets aim at characterizing the spatial and energy distributions of incident ions inside the matter. However, to simulate the propagation of a heavy ion beam we must confront several difficu…
View article: GP-MOOD: A positive-preserving high-order finite volume method for hyperbolic conservation laws
GP-MOOD: A positive-preserving high-order finite volume method for hyperbolic conservation laws Open
We present an a posteriori shock-capturing finite volume method algorithm called GP-MOOD that solves a compressible hyperbolic conservative system at high-order solution accuracy (e.g., third-, fifth-, and seventh-order) in multiple spatia…
View article: GP-MOOD: a positivity-preserving high-order finite volume method for hyperbolic conservation laws
GP-MOOD: a positivity-preserving high-order finite volume method for hyperbolic conservation laws Open
We present an a posteriori shock-capturing finite volume method algorithm called GP-MOOD. The method solves a compressible hyperbolic conservative system at high-order solution accuracy in multiple spatial dimensions. The core design princ…