Solving Gas Dynamics Problems with Shock WavesUsing the Runge—Kutta Discontinuous Galerkin Method

摘要

The work is devoted to the analytic comparison of the RKDG-method with other well-known numerical techniques. Variants of the RKDG-method are considered as well as Godunov-type finite-volume schemes. The quality of different schemes is assessed. It is found that the RKDG-method has a higher order of approximation, which ensures the better quality of the solution.