1998 , Volume 3, № 3, p.85-93

Numerical modeling of two-dimensional steady-state flows of fluid and gas using adaptive grids. A finite-difference method of calculating of plane steady-state flows of ideal incompressible fluid and gas in the channels of complicated geometry with inlet, outlet and impermeable walls is presented. For numerical solving of the problem new dependent variables - stream function$\psi$and vorticity$\omega$are introduced. The problems of constructing a curvilinear grids, obtaining of finite-difference approximations on these grids, calculating of vorticity on the inlet are discussed. The results of calculating of test problem about the steady-state non-isoenergetical vortex gas flow in curvilinear channel.

*76B47 Vortex flows

76M20 Finite difference methods

76N10 Existence, uniqueness, and regularity theory