A quasi-gas dynamic algorithm for numerical solution of shallow water equations in polar coordinates

Abstract: In this paper authors present a development of quasi-gas dynamic algorithm for hydrodynamic flow simulations in shallow-water approximation in polar coordinate system. A new numerical finite-difference algorithm for shallow-water equations is developed and verified for two analytical equilibrium solutions. The well-balance finite-difference variant of presented scheme is shown.Note: Research direction:Mathematical modelling in actual problems of science and technic