Numerical solution of two-dimensional Stokes equations for flow with particles in a channel of arbitrary shape using boundary-conforming coordinates (Q1081442)

A numerical scheme is proposed for the solution of two-dimensional Stokes equations in a multiconnected domain. The numerical procedure is based on a finite-difference solution of the governing equations in general curvilinear coordinates. Several examples of calculations are presented for a circular particle in a plane channel; the results are compared to known analytical solutions. The proposed scheme is applicable to the cases of flow around multiple stationary or moving particles of arbitrary shape in channels of arbitrary shape.