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Computational Details:

"(Regularized) Driven Cavity (I) at low Reynolds number (height 2, width 1 of the cavity)" Back to >>(Regularized) Driven Cavity (I) at low Reynolds number (height 2, 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

  • rectangular domain of height 2 and width 1
  • Dirichlet b.c.'s (parabolic with maximum value of 1) for the u-velocity at the top
  • other b.c.'s: zero velocity at fixed walls
  • initial condition at t=0: starting from rest
  • viscosity parameter: 1/nu=5,000




Description of the spatial discretization

  • coarse mesh (=level 3): 32 cells, 45 vertices, 184 d.o.f.'s



  • uniform refinements with exact boundary adaption
  • visualization on level 6: 2,048 cells, 2,145 vertices, 10,432 d.o.f.`s
  • computational mesh on level 8: 32,768 cells, 33,153 vertices, 164,608 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 seconds corresponds to 1,800 time steps
  • fractional step theta scheme




Computer requirements

  • date: 12/18/97
  • simulation by: S.Nauber
  • visualization by: S.Nauber
  • SUN ULTRA1/140: 27 MB, 25,981 seconds
  • AVS data: 410 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