ABSTRACT
Among methods for finding numerical solutions of equations describing stationary two-dimensional flows of a viscous gas in a bounded domain, the majority deal with flows which are incompressible in the sense that the density can be considered constant in the whole domain. The system of equations to be considered for solving such stationary convective problems consists of the Navier-Stokes equations of motion and continuity, the equation of state, and the energy equation. There are reasons to believe that a numerical solution, that is the velocity field and the temperature distribution, can be obtained by a multi-step iterative procedure. This chapter presents an initial stage of work attempting to construct a numerical scheme for the first step of this iterative procedure–solving the stationary Navier-Stokes equations for a two-dimensional gas flow in a bounded domain when the density and viscosity are known nonvanishing functions of space coordinates. The coefficients of Navier-Stokes equations are corrected through solving the remaining equations for field values.
