1999/10/26 by J. Pons, J. Ma. Marti, Pons, J. +4
Engineering · Physics and Astronomy · #Astrophysics (astro-ph) #Computational Fluid Dynamics and Aerodynamics #Cosmology and Gravitation Theories #FOS: Physical sciences #Solar and Space Plasma Dynamics #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/9910462
8 pages, 2 figures. To appear in the proceedings of the conference "Godunov methods: theory and applications". Oxford, October-1999
arxiv created 1999/10/26 · openalex publication_date 1999/10/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have generalised the exact solution of the Riemann problem in special relativistic hydrodynamics for arbitrary tangential flow velocities. The solution is obtained by solving the jump conditions across shocks plus an ordinary differential equation arising from the self-similarity condition along rarefaction waves, in a similar way as in purely normal flow. The dependence of the solution on the tangential velocities is analysed. This solution has been used to build up an exact Riemann solver implemented in a multidimensional relativistic (Godunov-type) hydro-code.