Glimm-Godunov's Method for Cosmic-ray-hydrodynamics
| dc.creator | Miniati, Francesco | |
| dc.date | 2006-11-16 | |
| dc.date | 2007-08-24 | |
| dc.date.accessioned | 2026-07-07T11:20:42Z | |
| dc.date.available | 2026-07-07T11:20:42Z | |
| dc.description | A numerical method for integrating the equations describing a dynamically coupled system made of a fluid and cosmic-rays is developed. In smooth flows the effect of CR pressure is accounted for by modification of the characteristic equations and the energy exchange between cosmic-rays and the fluid, due to diffusive processes in configuration and momentum space, is modeled with a flux conserving method. Provided the shock acceleration efficiency as a function of the upstream conditions and shock Mach number, we show that the Riemann solver can be modified to take into account the cosmic-ray mediation without having to resolve the cosmic-ray induced substructure. Shocks are advanced with Glimm's method which preserves their discontinuous character without any smearing, thus allowing to maintain self-consistency in the shock solutions. In smooth flows either Glimm's or a higher order Godunov's method can be applied, with the latter producing better results when approximations are introduced in the Riemann solver. | |
| dc.description | 32 pages, 4 figs, JCP in press, improved description of boundary conditions at high momenta, references updated, version matching the one accepted for publication | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0611499 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0611499 | |
| dc.identifier | J.Comput.Phys.227:776-796,2007 | |
| dc.identifier | doi:10.1016/j.jcp.2007.08.013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/194038 | |
| dc.subject | Astrophysics | |
| dc.title | Glimm-Godunov's Method for Cosmic-ray-hydrodynamics | |
| dc.type | text |