Relativistic resistive magneto-hydrodynamics code for high-energy heavy-ion collisions

Abstract We construct a relativistic resistive magneto-hydrodynamic (RRMHD) numerical simulation code for high-energy heavy-ion collisions as first designed in the Milne coordinates. split system of differential equations into two parts, non-stiff and stiff part. For part, we evaluate flux using HLL approximated Riemann solver execute time integration by second-order Runge–Kutta algorithm. which appears Ampere’s law, integrate semi-analytic solutions electric field. employ generalized Lagrange multiplier method to ensure divergence-free constraint magnetic field Gauss’s law. confirm that our reproduces well results standard RRMHD tests Cartesian In coordinates, with high conductivity is validated against ideal MHD tests. also verify accelerating longitudinal expansion magneto-hydrodynamics comparison result. Our these solutions.