Prediction of laminar separated flows using the partially parabolized Navier-Stokes equations

The partially parabolized Navier-Stokes equations are evaluated for steady, two-dimensional, laminar, incompressible flows with small, confined regions of recirculation. The steady-flow equations are solved in primitive variables using finite-difference techniques. Type-dependent differencing is used to permit downstream-marching even in the reverse-flow region. Consideration is given to external separated flows as well as the internal separated flow in a channel caused by a symmetric, sudden expansion. Comparisons are made with results obtained using the full Navier-Stokes equations and with experimental measurements. For the external flows, results obtained using the fully parabolic inverse boundary-layer procedure are also presented and compared.