Relativistic hydrodynamics and essentially non-oscillatory shock capturing schemes (Q1902383)

Numerical solutions of relativistic hydrodynamic equations are obtained with essentially non-oscillatory finite difference schemes. The method is explicit, conservative, consistent with the entropy condition, and high-order accurate in space and time. The present implementation is applicable to the most general, three-dimensional problems with an arbitrary equation of state. Numerical experiments, including computations of multi-dimensional flows, demonstrate that the method delivers sharp, non-oscillatory shock transitions without sacrificing high resolution of the smooth regions.