A generalization of the sealed compressibility method is suggested for numerical integration of the Navier-Stokes equations to the case of an arbitrary curvilinear coordinate system. By means of the algorithm developed we calculate the flow of an incompressible fluid in a channel of quadratic cross section with a curvilinear axis (with a 90 degrees turn) and the air flow in a Laval nozzle of rectangular cross section. In the latter case we investigate both the calculated and noncalculated (with enhanced back pressure) flow regimes, characterized by the presence of recirculation regions in the flow. The results obtained are compared with known experimental data.

A generalization of the method of scaling of the compressibility, previously developed for the numerical modelling of two-dimensional stationary compressible flows at arbitrary Mach numbers, to the case of the calculation of spatial stationary flows of viscous gases and multicomponent gas mixtures undergoing chemical reactions which do not give rise to stiffness in the system of equations, is proposed.