A defect stream function, law of the wall/wake method for turbulent boundary layers
The application of the defect stream function to the solution of the two-dimensional, incompressible boundary layer problem is reexamined. A law-of-the-wall/law-of-the-wake formulation for the inner part of the boundary layer is presented which greatly simplifies the computational task near the wall and eliminates the need for an eddy viscosity model in this region. The eddy viscosity model in the outer part of the boundary layer is arbitrary. Formulations for both equilibrium and nonequilibrium boundary layers are presented, and results are compared with previous methods for equilibrium boundary layers. A formulation for primitive variables is presented. The present treatments eliminate the need for resolving the flow in the inner part of the boundary layer computationally, thereby improving computational efficiency.