Weightedmean scheme for solving incompressible viscous flow
Abstract
The problem of how a boundary layer responds to the motion of a convexed vortex on a porous wall was investigated. The wall velocity is approximately given by Darcy's law. The vorticitystream function approach was adopted for solving NavierStokes equations of two dimensional incompressible viscous flows. The weightedmean scheme was used for constructing finite difference approximations of spatial derivatives. Several test problems were solved and numerical results demonstrate clearly the accuracy, stability, and efficiency of the scheme. The weighted mean scheme then can be applied to the vortical flow problem.
 Publication:

Final Report Systems and Applied Sciences Corp
 Pub Date:
 May 1981
 Bibcode:
 1981sasc.reptR....H
 Keywords:

 Incompressible Flow;
 Turbulent Boundary Layer;
 Two Dimensional Flow;
 Viscous Flow;
 Vortices;
 Weighting Functions;
 Finite Difference Theory;
 Laminar Flow;
 Mass Transfer;
 Porous Walls;
 Wall Flow;
 Fluid Mechanics and Heat Transfer