Efficient solution of twodimensional steady separated flows
Abstract
This work is concerned with the numerical solution of 2D incompressible steady laminar separated flows at moderatetohigh values of Re. The vorticitystream function NavierStokes equations, as well as approximate models based upon the boundarylayer theory, will be considered. The main objective of the paper is to present the development of an efficient approach for solving a class of problems usually referred to as high Re weakly separated flows. A description is given of a blockalternatingdirectionimplicit method, which applies the approximate factorization scheme of Beam and Warming to the vorticitystream function equations, using the delta form of the deferred correction procedure of Khosla and Rubin to combine the stability of upwind schemes with the accuracy of central differences. The logical steps which led to the development of a more efficient incremental blockline GaussSeidel method and to a simple multigrid strategy particularly suited for this kind of numerical scheme are then outlined. Finally, benchmarkquality solutions for separated flows inside diffusers and channels with smooth as well as sudden expansions are presented.
 Publication:

Computers and Fluids
 Pub Date:
 1991
 Bibcode:
 1991CF.....20..213N
 Keywords:

 Laminar Flow;
 NavierStokes Equation;
 Separated Flow;
 Steady Flow;
 Stream Functions (Fluids);
 Two Dimensional Flow;
 Alternating Direction Implicit Methods;
 Boundary Layer Flow;
 Computational Grids;
 Incompressible Flow;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer