Boundary integral equation formulations for steady Navier-Stokes equations using the Stokes fundamental solutions

Boundary integral equations for the steady-state flow of an incompressible viscous fluid in two and three dimensions are presented. The steady-state Navier-Stokes equations are transformed into the integral equations by the method of weighted residuals. The fundamental solutions of the Stokes approximate equations are used as the weight functions. The fundamental solutions are constructed by Hoermander's method. The boundary integral equations for unknown pressure are also derived by using the fundamental solution of the Laplacian. A numerical example of the driven cavity flow at Reynolds number 100 is given to show the validity of the formulation.