A New Multidimensional Relativistic Hydrodynamics code based on Semidiscrete Central and WENO schemes

Abstract

We have proposed a new High Resolution Shock Capturing (HRSC) scheme for Special Relativistic Hydrodynamics (SRHD) based on the semidiscrete central Godunov-type schemes and a modified Weighted Essentially Non-oscillatory (WENO) data reconstruction algorithm. This is the first application of the semidiscrete central schemes with high order WENO data reconstruction to the SRHD equations. This method does not use a Riemann solver for flux computations and a number of one and two dimensional benchmark tests show that the algorithm is robust and comparable in accuracy to other SRHD codes.