Numerical solution of bypass flow

This paper deals with a problem of numerical solution of a flow through a channel with angular bypass. This flow is supposed to be laminar, viscous and incompressible. For description of this type of flow the model of the Navier-Stokes equations could be used. One can find steady solution of unsteady system by using multistage Rungue-Kutta method together with time dependent artificial compressibility method. Some results are presented for a channel with angular bypass in 2D and 3D. One could use results of this problem in the field of the cardiovascular research.