Martí et al. have used this method in their simulations of
relativistic jets [110,
111
]. The resulting numerical code has been successfully used to
describe ultra-relativistic flows in both one and two spatial
dimensions with great accuracy (a large set of test calculations
using Marquina's Riemann solver can be found in Appendix II
of [111
]). Numerical experimentation in two dimensions confirms that the
dissipation of the scheme is sufficient to eliminate the
carbuncle phenomenon [153], which appears in high Mach number relativistic jet simulations
when using other standard solvers [43
].
Aloy et al. [3] have implemented Marquina's flux formula in their three
dimensional relativistic hydrodynamic code GENESIS.
Font et al. [59] have developed a 3D general relativistic hydro code where the
matter equations are integrated in conservation form and fluxes
are calculated with Marquina's formula.
![]() |
Numerical Hydrodynamics in Special Relativity
Jose Maria Martí and Ewald Müller http://www.livingreviews.org/lrr-1999-3 © Max-Planck-Gesellschaft. ISSN 1433-8351 Problems/Comments to livrev@aei-potsdam.mpg.de |