A Relaxation Scheme for Inviscid Flows under Gravitational Influence

Abstract : Many astrophysical flows are modeled by the Euler equations with gravity source terms derived from a potential, the evolution of which is described by a Poisson equation. Several gravitational flows reach equilibrium states that are necessary to preserve in the numerical formulation. In this paper, we present the derivation of the relaxation model [17], in which the pressure is a supplementary variable and the Poisson equation is transformed into a hyperbolic equation with a penalty parameter. The corresponding scheme is obtained in the limit as the parameter tends to zero. The proposed Riemann solver, implemented in the software HERACLES [10], provides better robustness compared to other approaches available in the same software and is capable of preserving gravitational equilibria when required. Several numerical tests and results are presented, as well.
Complete list of metadatas

https://hal.inria.fr/hal-01103515
Contributor : Jeaniffer Vides <>
Submitted on : Wednesday, January 14, 2015 - 7:02:53 PM
Last modification on : Wednesday, January 23, 2019 - 2:39:24 PM

Links full text

Identifiers

Citation

Jeaniffer Vides, Edouard Audit, Boniface Nkonga. A Relaxation Scheme for Inviscid Flows under Gravitational Influence. Congrès SMAI 2013, Sep 2014, Seignosse le Penon, France. pp.523-532, ⟨10.1051/proc/201445054⟩. ⟨hal-01103515⟩

Share

Metrics

Record views

362