Calculation of winddriven cavity flow at high Reynolds numbers
Abstract
The time dependent NavierStokes equations are numerically integrated for two dimensional incompressible viscous flow in a winddriven square cavity. Using a timesplitting method and finite differences on a staggered mesh, the momentum equations are solved by a conjugate gradient method which obviates the use of factorization. The tensor product is incorporated for the pressure Poisson equation. The effects of increasing Reynolds numbers are studied and the developing boundarylayer is captured by using a finely clustered mesh. At Re = 30,000, the flow is in a continuously developing unsteady regime. Power spectrum plots indicate a rich frequency content and that the flow is in transition between laminar and turbulent states.
 Publication:

AIAA, Fluid Dynamics, 21st Plasma Dynamics and Lasers Conference, 21st, Seattle, WA, June 1820, 1990. 17 p.
 Pub Date:
 June 1990
 Bibcode:
 1990fdpd.confU....B
 Keywords:

 Cavities;
 Cavity Flow;
 Compressible Flow;
 High Reynolds Number;
 Transition Flow;
 Two Dimensional Flow;
 Wind Effects;
 Computational Grids;
 Conjugate Gradient Method;
 Finite Difference Theory;
 Power Spectra;
 Time Dependence;
 Vorticity;
 Fluid Mechanics and Heat Transfer