A NUMERICAL SCHEME FOR SOLVING CREEPING FLOWS

Abstract

This work shows an extension of the generalized Peaceman and
Rachford alternating-direction implicit (ADI) scheme for simulating
two-dimensional fluid flows at low Reynolds numbers. The
conservation equations are solved in stream function - vorticity
formulation. We compare the ADI and generalized ADI schemes, and
show that the latter is more efficient to simulate a creeping flow.
Numerical results demonstrating the applicability of this technique are
also presented.