Finite—Difference Scheme of the Incompressible Laminar Boundary—Layer Flow

Abstract

A tame—accurate scheme has been developed for computing the incompressible laminar flow. The two—dimensional incompressible laminar boundary layer equations are marched in lime by using a time stepping method. The momentum equation is solved by using central differencing in the direction normal to the body and upwind differencing in the other direction. The equation is  solved by a tridiagonal matrix system. The main objective is to develop computational procedure which will provide accurate and stable solution when flow reversal (u < 0) occurs. The results compare favorable with an exact solution. It is deduced that the present method is quite accurate. The solutions showed the reverse flow velocity with the help of upwind scheme. The scheme is not intended to replace the inverse method and should be developed as an alternative to couple with the inverse mode.