Applications of artificial wind numerical scheme for relativistic hydrodynamics in astrophysics

We apply a new way for the construction of efficient non-oscillation shock- capturing schemes, namely a artificial wind (AW) scheme, for relativistic h ydrodynamics (RHD) simulations in astrophysics. We also discuss physical fo undations for computational RHD. An appropriate choice for a realistic equa tion of state of the matter at relativistic temperatures drastically facili tates the procedure for numerical integration of hydrodynamics equations. T he time-consuming iteration approach to solve the coupling equation is avoi ded. We have developed a 2-D relativistic hydrodynamics code based on the A W scheme and the new RHD. Here we present two applications of the code in a strophysics, namely, numerical simulations of ultra-relativistic jet propag ation and relativistic Richtmyer-Meshkov instability.