A factorization method for numerical solution of the Navier–Stokes equations of a incompressible viscous fluid

We propose an implicit differential scheme of approximate factorization for numerical solution of the Navier–Stokes equations of an incompressible fluid in curvilinear coordinates. The algorithm is tested on the solution of the problems for Couette and Poiseuille flows. The results are presented of numerical modeling of a flow between rotating covered cylinders.