Abstract

Abstract A numerical algorithm for solving the Navier-Stokes equations for incom- pressible viscous fluid in an arbitrary two-dimensional region on nonstaggered grids is presented. The idea of the transition to a general curvilinear coordinate system, trans- forming the physical region into a parametrical square is used. For the discrete solution an unconditional a priory estimate has been obtained. The results of the benchmark computations for a driven skewed cavity flow and the results of the fluid flow modeling in a cavity of an arbitrary shape are given.

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