Error Reduction at the Contact Discontinuity in Numercial Special Relativistic Hydrodynamics. Modelling, Analysis and Simulation

摘要

In this paper the quasi-1D special relativistic hydrodynamic equations are numerically solved with a Godunov-type scheme. It was found that when there is a jump in the tangential velocity component at the contact discontinuity an O(1) error arises in the solution. An analysis of this phenomenon is given and possible remedies are proposed and tested.