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Communication Dans Un Congrès Année : 2014

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

Résumé

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.
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Dates et versions

hal-01103523 , version 1 (14-01-2015)

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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. pp.279-284. ⟨hal-01103523⟩
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