Studies on Green's Function Method for the Numerical Solution of Steady-state Incompressible Viscous Fluid Flow

Abstract

Some further studies on Green's function method proposed by first author in [1] for the numerical solution of steady-state incompressible viscous fluid flow were performed. The present Green's function method was run for both Stokes-Flows and nonlinear problems. This paper gives several numerical computations for Stokes-Flows around three cycle cylinders and five cylinders of irregular shape located between two parallel flat plates and driven laminar flow past a square cavity at different Reynolds numbers. Comparison of this method with finite difference and finite element methods for numerical solution of cavity flow is also presented. It is found that this method is more efficient and more flexible in handling complex geometrics than the existing finite difference and finite element solution of the problems considered.