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Computational Details:

"Channel flow with cavity at low Reynolds number" Back to >>Channel flow with cavity at low Reynolds number<<


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




Description of the flow problem

  • nonstationary 2D channel flow over squared cavity
  • channel domain of length 5 and height 1
  • cavity domain of width and height 1
  • total height 2
  • length before cavity 1, after cavity 3
  • inflow b.c.'s: parabolic with maximum velocity 1
  • outflow b.c.'s: natural "do nothing" b.c.'s
  • other b.c.'s: zero velocity at fixed walls
  • initial condition at t=0: starting from rest
  • viscosity parameter: 1/nu=10,000




Description of the spatial discretization

  • coarse mesh (=level 1): 69 cells, 90 vertices, 385 d.o.f.`s



  • uniform refinements with exact boundary adaption
  • visualization on level 5: 17,664 cells, 17,985 vertices, 88,960 d.o.f.`s
  • computational mesh on level 6: 70,656 cells, 71,297 vertices, 355,201 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=0.0333334
  • equidistant time stepping for visualization with k=0.2 (= 1 frame)
  • Total time T=60 corresponds to 1,800 time steps
  • fractional step theta scheme




Computer requirements

  • date: 07/11/97
  • simulation by: S.Turek/W.Kress
  • visualization by: S.Turek/W.Kress
  • SGI PowerIndigo2/R10000: 60 MB, 54,126 seconds
  • AVS data: 892 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