A direct primitive variable recovery scheme for hyperbolic conservative equations: the case of relativistic hydrodynamics

摘要

In this article we develop a Primitive Variable Recovery Scheme (PVRS) tosolve any system of coupled differential conservative equations in such a waythat the obtained solution is the primitive variable vector and not the chargevector as is traditionally done. The article is presented bearing in mindspecial relativistic hydrodynamic numerical schemes using a pedagogical view inorder to easily comprehend the PVRS. We present the convergence of the methodfor standard shock-tube problems of special relativistic hydrodynamics andpropose a new graphical visualisation of the errors using the fluctuations ofthe numerical values with respect to exact analytic solutions.