Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers

Erturk E., Corke T., Gokcol C.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, vol.48, no.7, pp.747-774, 2005 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 7
  • Publication Date: 2005
  • Doi Number: 10.1002/fld.953
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.747-774
  • Keywords: steady 2-D incompressible N-S equations, driven cavity flow, fine grid solutions, high Reynolds numbers, NAVIER-STOKES EQUATIONS, STREAMFUNCTION-VORTICITY, MULTIGRID METHOD, FLUID-FLOW, ACCURACY, SCHEME, 2D, BIFURCATIONS, STREAMLINES, RE


Numerical calculations of the 2-D steady incompressible driven cavity flow are presented. The Navier-Stokes equations in streamfunction and vorticity formulation are solved numerically using a fine uniform grid mesh of 601 x 601. The steady driven cavity flow solutions are computed for Re <= 21000 with a maximum absolute residuals of the governing equations that were less than 10(-10). A new quaternary vortex at the bottom left corner and a new tertiary vortex at the top left corner of the cavity are observed in the flow field as the Reynolds number increases. Detailed results are presented and comparisons are made with benchmark solutions found in the literature. Copyright (c) 2005 John Wiley & Sons, Ltd.