A Godunov-Type Solver for the Numerical Approximation of Gravitational Flows

Abstract : We present a new numerical method to approximate the solutions of an Euler-Poisson model, which is inherent to astrophysical flows where gravity plays an important role. We propose a discretization of gravity which ensures adequate coupling of the Poisson and Euler equations, paying particular attention to the gravity source term involved in the latter equations. In order to approximate this source term, its discretization is introduced into the approximate Riemann solver used for the Euler equations. A relaxation scheme is involved and its robustness is established. The method has been implemented in the software HERACLES and several numerical experiments involving gravitational flows for astrophysics highlight the scheme.
Complete list of metadatas

Cited literature [46 references]  Display  Hide  Download

https://hal.inria.fr/hal-00800474
Contributor : Jeaniffer Vides <>
Submitted on : Wednesday, March 13, 2013 - 4:53:14 PM
Last modification on : Monday, March 25, 2019 - 4:52:05 PM
Long-term archiving on : Friday, June 14, 2013 - 7:15:09 AM

File

euler_poisson_first_hal_.pdf
Files produced by the author(s)

Identifiers

Citation

Jeaniffer Vides, Benjamin Braconnier, Edouard Audit, Christophe Berthon, Boniface Nkonga. A Godunov-Type Solver for the Numerical Approximation of Gravitational Flows. Communications in Computational Physics, Global Science Press, 2014, 15 (1), pp.46-75. ⟨10.4208/cicp.060712.210313a⟩. ⟨hal-00800474⟩

Share

Metrics

Record views

1400

Files downloads

522