Prediction of incompressible 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 equations are solved in primitive variables using finite-difference techniques. The solution procedure involves solving the momentum equations by repeatedly space-marching in the main flow direction. Type-dependent differencing is used to enable downstream-marching even in the reverse-flow region. This same computational strategy is also applied to the full Navier-Stokes equations. External, separated flows as well as the internal, separated flow in a channel with a symmetric, sudden expansion are also considered.