Difference Scheme with a Symmetry Analyzer for Equations of Gas Dynamics

The paper proposes a symmetry analyzer as an element of the computational algorithm for the numerical integration of two-dimensional equations of ideal gas dynamics. A symmetry analyzer is an algorithm that allows using grid data to give a preference to a component (in the present work, Cartesian or polar) of a vector field for its reconstruction on the cell interfaces of a computational grid and subsequent calculation of fluxes of conservative variables. A computational algorithm is constructed using a polar-type computational grid and including a symmetry analyzer. The algorithm is easily transferred to the three-dimensional cylindrical type of computational grids.