Interactive Method for Computation of Viscous Flow with Recirculation
Abstract
An interactive method is proposed for the solution of twodimensional, laminar flow fields with identifiable regions of recirculation, such as the shear layer driven cavity flow. The method treats the flow field as composed of two regions, with an appropriate mathematical model adopted for each region. The shear layer is computed by the compressible boundary layer equations, and the slowly recirculating flow by the incompressible NavierStokes equations. The flow field is solved iteratively by matching the local solutions in the two regions. For this purpose a new matching method utilizing an overlap between the two computational regions is developed, and shown to be most satisfactory. Matching of u, v, as well as {ϱu}/{ϱy} is amply accomplished using the present approach, and the stagnation points corresponding to separation and reattachment of the dividing streamline are computed as part of the interactive solution. The interactive method is applied to the test problem of shear layer driven cavity. The computational results are used to show the validity and applicability of the present approach.
 Publication:

Journal of Computational Physics
 Pub Date:
 April 1981
 DOI:
 10.1016/00219991(81)902187
 Bibcode:
 1981JCoPh..40..396B
 Keywords:

 Circulation;
 Computational Fluid Dynamics;
 Flow Distribution;
 Interactive Control;
 Two Dimensional Flow;
 Viscous Flow;
 Cavity Flow;
 Compressible Boundary Layer;
 Laminar Flow;
 NavierStokes Equation;
 Shear Layers;
 Stream Functions (Fluids);
 Velocity Distribution;
 Vorticity;
 Fluid Mechanics and Heat Transfer