A Simulation Study of Ultra-relativistic Jets–I. A New Code for Relativistic Hydrodynamics

In an attempt to investigate the structures of ultra-relativistic jets injected into intracluster medium (ICM) and associated flow dynamics, such as shocks, velocity shear, turbulence, we have developed a new special relativistic hydrodynamic (RHD) code in Cartesian coordinates, based on weighted essentially non-oscillatory (WENO) scheme. It is finite difference scheme high spatial accuracy, which has been widely employed for solving hyperbolic systems conservation equations. The equipped with different WENO versions, 5th-order accurate WENO-JS (Jiang & Shu 1996), WENO-Z, WENO-ZA, time integration methods, 4th-order Runge-Kutta (RK4) strong stability preserving RK (SSPRK), well implementation equations state (EOSs) that closely approximate EOS single-component perfect gas regime. addition, it incorporates high-order averaging fluxes along transverse directions enhance accuracy multi-dimensional problems, modification eigenvalues acoustic modes effectively control carbuncle instability. Through extensive numerical tests, assess robustness code, choose SSPRK, suggested Ryu et al. (2006) fiducial setup simulations jets. results our study using reported accompanying paper (Seo 2021, Paper II).