High-Order Numerical Methods for Relativistic Hydrodynamics: Part I. Theory and Methodology

A recently developed numerical solver for relativistic hydrodynamics, eCOS, is presented. The governing equations and subsequent solution methodology are described followed by a demonstration of its predictive capability. High-fidelity numerical solutions are achieved regarding the solution of problems involving in oneand twodimensional test cases containing strong shock-waves and complex flow features. eCOS is shown to be competitive with other solvers of this nature found in the current literature. All validation test cases provide confidence in its ability, both qualitatively and quantitatively, such that the solver is commissioned to study problems that do not have a known solution and thus require a numerical approximation.