A Godunov-Type Solver for Gravitational Flows: Towards a Time-Implicit Version in the HERACLES Code

Abstract : We study the Euler equations with gravitational source terms derived from a potential which satisfies Poisson's equation for gravity. An adequate treatment of the source terms is achieved by introducing their discretization into an approximate Riemann solver, relying on a relaxation strategy. The associated numerical scheme is then presented and its performance demonstrated. The new method provides a straightforward extension to multidimensions and is applied to different types of problems under gravitational influence, including a one dimensional hydrostatic atmosphere and a three-dimensional Rayleigh-Taylor instability. We show the first results for the implicit version of the scheme, essential for many applications of physical interest and implemented in the code HERACLES.
Type de document :
Communication dans un congrès
ASP Conference Series, Sep 2014, Biarritz, France. 488, pp.279-284, 8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013)
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https://hal.inria.fr/hal-01103523
Contributeur : Jeaniffer Vides <>
Soumis le : mercredi 14 janvier 2015 - 19:34:50
Dernière modification le : vendredi 16 mars 2018 - 01:12:37

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Jeaniffer Vides, Serge Van Criekingen, Edouard Audit, Mikolaj Szydlarski. A Godunov-Type Solver for Gravitational Flows: Towards a Time-Implicit Version in the HERACLES Code. ASP Conference Series, Sep 2014, Biarritz, France. 488, pp.279-284, 8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013). 〈hal-01103523〉

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