A conforming spectral collocation strategy for Stokes flow through a channel contraction

Abstract

A spectral collocation method is described for solving the stream function formulation of the Stokes problem in a contraction geometry. The flow region is decomposed into a number of conformal rectangular subregions. A collocation strategy is devised which ensures that the stream function and its normal derivative are continuous across subregion interfaces. An efficient solution procedure based on the capacitance matrix technique is described for solving the spectral collocation equations. © 1991.