Application of RKDG method for computational solution of three-dimensional gas-dynamic equations with non-structured grids

This article deals with the finite-element RKDG method (Runge–Kutta Discontinuous Galerkin) and its application for numerical integration of three-dimensional system of equations of ideal gas on unstructured grids. By means of the described algorithm we solved two test tasks. For each task we conducted the analysis and compared the task solution with well-known analytical solutions or with tabular data. We also give error assessment in the solution.