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 preference to one or another (in the present work, Cartesian or polar) components 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 was constructed using a polar-type computational grid and including a symmetry analyzer. The algorithm is easily transferred to the three-dimensional computational grids of cylindrical type.