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Computational Details:

"(Regularized) Driven Cavity (II) at low Reynolds number (height 1, width 1 of the cavity)" Back to >>(Regularized) Driven Cavity (II) at low Reynolds number (height 1, width 1 of the cavity)<<


Description of the flow problem
Description of the spatial discretization
Description of the temporal discretization
Computer requirements
Mathematical details




Description of the flow problem

  • stationary 2D "lid driven cavity" flow
  • squared domain of length 1
  • Dirichlet b.c.'s for the u-velocity at the top: u=1 for y=1
  • Dirichlet b.c.'s for the u-velocity at the bottom: u=0.5 for y=0
  • other b.c.'s: zero velocity elsewhere for u and v
  • initial condition at t=0: starting from rest
  • viscosity parameter: 1/nu=5,000




Description of the spatial discretization

  • coarse mesh (=level 1): 53 cells, 72 vertices, 301 d.o.f.`s



  • uniform refinements with exact boundary adaption
  • visualization on level 5: 13,568 cells, 13,857 vertices, 68,416 d.o.f.`s
  • computational mesh on level 6: 54,272 cells, 54,849 vertices, 272,512 d.o.f.`s
  • nonconforming nonparametric rotated bilinear fem's (meanvalue version), UPW




Description of the temporal discretization

  • equidistant time stepping for computation with k=0.027777778
  • equidistant time stepping for visualization with k=0.166666666 (= 1 frame)
  • Total time T=50 corresponds to 1,800 time steps
  • fractional step theta scheme




Computer requirements

  • date: 05/23/1998
  • simulation by: J.Ehlers
  • visualization by: J.Ehlers
  • SUN ULTRA1/140: 52 MB, 23,654 seconds
  • AVS data: 440 MB
  • Software: FEATFLOW1.0 + BOUSS




Mathematical details

  • For more details about numerical and algorithmic aspects see the `Mathematical Background' in the FEATFLOW manual or visit our paper archive for much more details.
  • The problem-specific data for the applied software version including parameter files and input data can be downloaded here!




Please send any comments and suggestions to: featflow@featflow.de