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Computational Details:

"(Regularized) Driven Cavity (I) at low Reynolds number with interior circle" Back to >>(Regularized) Driven Cavity (I) at low Reynolds number with interior circle<<


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 3 and width 3
  • 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=250




Description of the spatial discretization

  • coarse mesh (=level 2): 32 cells, 48 vertices, 192 d.o.f.`s



  • uniform refinements with exact boundary adaption
  • visualization on level 6: 8,192 cells, 8,448 vertices, 41,472 d.o.f.`s
  • computational mesh on level 7: 32,768 cells, 33,280 vertices, 164,864 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=0.083333334
  • equidistant time stepping for visualization with k=0.25 (= 1 frame)
  • Total time T=100 seconds corresponds to 1,200 time steps
  • fractional step theta scheme




Computer requirements

  • date: 23/6/98
  • simulation by: F.Loewner/M.Troeller
  • visualization by: F.Loewner/M.Troeller
  • SUN ULTRA1/170: 26 MB, 16,467 seconds
  • AVS data: 534 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