The navier-Stokes equations in primitive variable form are used to solve incompressible two-dimensional laminar boundary layers with separated region. The solution is sought interactively using a central differencing finite difference scheme.
The arbitrary two dimensional domain is transformed into a rectangular domain through numerical grid generation. An efficient grid distribution may be achieved by adjusting the control functions.
The momentum equations and the pressure equation are solved alternately and the coefficients are updated after each calculation. An alternating-direction-implicit (ADI) scheme is used to solve the momentum equations and the elliptic equation for pressure is solved by a successive-over-relaxation method.
The results of a few test cases show that the method can predict the separation bubble and the downstream flow field accurately.