TY - JOUR
T1 - A Godunov-Type Solver for the Numerical Approximation of Gravitational Flows
AU - J. Vides, B. Braconnier, E. Audit, C. Berthon & B. Nkonga
JO - Communications in Computational Physics
VL - 1
SP - 46
EP - 75
PY - 2014
DA - 2014/01
SN - 15
DO - http://doi.org/10.4208/cicp.060712.210313a
UR - https://global-sci.org/intro/article_detail/cicp/7087.html
KW - 
AB - <p style="text-align: justify;">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 [29] and several numerical
experiments involving gravitational flows for astrophysics highlight the scheme.</p>