Application of rl3 moment equations for modeling Shockwave gas-dynamics flows

Аuthors

Timokhin M. U.^*, Ivanov I. E.^1**, Kryukov I. A.^2***

1. Lomonosov Moscow State University, 1, Leninskie Gory, Moscow, 119991, Russia
2. Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, 101-1, prospekt Vernadskogo, Moscow, 119526, Russia

*e-mail: mutimokhin@gmail.com
**e-mail: ivanovmai@mail.ru
***e-mail: kryukov@ipmnet.ru

Abstract

The article is devoted to numerical method of solution of Grad’s moment equations [1] and regularized Grad’s moment equations [2] for two-dimensional flows. The numerical method is formulated as an extension of explicit high order Godunov method [7] with linear flow parameter reconstruction. Conservative variable fluxes on computational cell edges are evaluated with approximate HLL Riemann solver. Modified explicit/implicit Runge-Kutta method of second order of accuracy is used for time approximation. Some examples of shock flow calculation are presented.

Keywords:

method of the moments, moment equations system, shock wave, Godunov’s method.