Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006sf2a.conf..167m&link_type=abstract
SF2A-2006: Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics Eds.: D. Barret, F. Casoli, G.
Astronomy and Astrophysics
Astrophysics
Scientific paper
Our aim is to numerically investigate Gamma Ray Burst (GRB) afterglows in the context of a fireball model. This requires the accurate computation of relativistic hydrodynamic flows, with a need for Adaptive Mesh Refinement (AMR) due to the extreme demands for resolving thin ultra-relativistic `shells' propagating over vast distances. Here, we concentrate on the precise propagation evolution of such relativistic shells in spherical symmetric, as well as axisymmetric 2D models.
For this purpose, we extended the AMRVAC software ( te{Keppens03}) with a capability to simulate special relativistic hydro scenarios. We use a robust second order, shock-capturing discretization in a finite volume treatment in combination with AMR. On the numerical level, we can ensure physical consistency between the primitive (ρ, vec{v}, p) and conservative variables at limited linear reconstruction stages, as well as at all AMR restriction and prolongation stages. Stringent test cases of special relativistic hydro shock problems benefit optimally from our AMR strategy.
Casse Fabien
Keppens Rony
Meliani Zakaria
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