The solution of gas dynamics problems with shock waves using Runge–Kutta discontinous Galerkin method

The paper is dedicated to the testing of RKDG method for gas dynamics and to the comparison of this method with other well-known numerical methods. The comparative analysis was carried out between different variants of RKDG method as well as finite-volume Godunov type schemes. The computations allow to estimate the quality of different schemes. RKDG method has a higher order of approximation, which leads to better quality of the solution.