A Godunov-type method for a multi-temperature plasma with the tabulated equation of state

Abstract

Abstract A multi-temperature code for a multi-component gas dynamic is considered. The velocities of components with nonzero mass are assumed to be identical to each other. The gas dynamic part is a Godunov-type method based on the efficient approximate solution of the Riemann problem operating with all components of the gas mixture. The method assumes the arbitrary table equation of state, but the system of the hydrodynamic equations should be hyperbolic. An arbitrary equation of state (EOS) can contain domains with a negative square of the sound speed c 2 = (dP/dρ) a at phase transitions. In that domains the gas enthalpy should be corrected to provide the nonnegative sound speed square. This work contains the test of the method on a strong shock wave in hydrogen plasma.