Solving two-dimensional problems of gas dynamics using an implicit scheme for the discontinuous Galerkin method on unstructured triangular grids

An implicit scheme of the discontinuous Galerkin method for solving gas dynamics equations on unstructured triangular grids is constructed. The implicit scheme is based on the representation of a system of grid equations in the so-called «delta» form. To solve the resulting SLAE for each moment of time, solvers from the NVIDIA AmgX library are used. To verify the numerical algorithm, a series of calculations were performed for the flow over the NACA0012 symmetric airfoil profile at various angles of attack, and the problem of the flow over the RAE2822 airfoil profile was solved. The results of calculations are presented.