A direct method for interacting boundary layers.

The viscous flow about a two-dimensional body experiencing non-catastrophic separation is analyzed. The method utilizes a direct interacting boundary layer formulation. The outer flow is calculated using an ideal flow panel method. The inner problem is formulated with velocity/vorticity variables using conventional boundary conditions. The resulting nonlinear equations are solved using an iterative global linearization that results from assuming that the convection velocities in the vorticity equation are known. The FLARE approximation is not used. Streamwise derivatives in convection terms are approximated with upwind differencing. The iteration is started using potential flow results to approximate the convective velocity. Subsequent iterations use the velocities calculated from continuity and the vorticity definition. After each iteration of the boundary layer solution, the outer flow is recalculated with the boundary conditions adjusted to allow for the displacement thickness of the boundary layer and wake. Results for a finite flat plate and a dented semi-infinite plate are compared with other interacting boundary layer methods. Results for non-lifting airfoils are also presented.PhDOcean engineeringUniversity of Michiganhttp://deepblue.lib.umich.edu/bitstream/2027.42/162329/1/9001656.pd