Unsteady high order accuracy DG method for turbulent flow modeling

The paper provides a brief description of TsAGI code based on the high order of accuracy Discontinuous Galerkin method. Reconstruction of the functions is carried out for the conservative variables. Gradients of variables are calculated using the method of Bassi–Rebay 2. For integration, Gauss quadrature rules are used. Coordinate transformations are done by serendipity elements. In calculations with schemes of order higher than second, curvature of the mesh lines is taken into account. In the paper, a comparison with finite volume methods is performed, including WENO method with linear weights and a single quadrature point on a cell side. The classical tests are used such as subsonic flow around a circular cylinder in an ideal gas, diagonal convection of two-dimensional isentropic vortex, and decay of the Taylor–Green vortex.