Numerical Calculation of Stationary Subsonic Gas Dynamics Problems

Abstract

The present work considers algorithm of numerical solution of the problems on two-dimensional subsonic ideal gas flows in channels of complicated shape with inlet, outlet and impemeable parts on the boundary. At present the problems on steady ideal gas flows are most often solved by the stabilization method which as a solution of stationary equations selects infinite time solution of the respective nonstationary equations of gas dynamics. The disadvantage of this method lies in its slow convergence for subsonic flows [1], for in this case the initial perturbations extend with finite velocity both downstream and upstream along the characteristics of the hyperbolic system of equations interacting between themselves and with the boundaries of the region. Such motion of the perturbations within the region can be rather long requiring much computer time to obtain the steady state flow.