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.
Keywords:
hydrodynamics, quasi-gas dynamic algorithm,
shallow water approximation, polar coordinates, accretion disk
Publication language:russian, pages:24
Research direction:
Mathematical modelling in actual problems of science and technics
