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Computational Details:

"`Moving Balls' at medium Reynolds number (I)" Back to >>`Moving Balls' at medium Reynolds number (I)<<


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




Description of the flow problem

  • length/width of channel: 14/3
  • diameter of circles : 0.5
  • maximum vertical speed of circles : +/-0.5
  • Dirichlet b.c.'s on circle surface (= differentiation of the circle speed)
  • Dirichlet b.c.'s for right inflow with parabolic profile of order 1
  • natural b.c.'s on the right edge
  • other b.c.'s: zero velocity at walls of the channels
  • initial condition at t=0: starting from rest
  • viscosity parameter: 1/nu=100




Description of the spatial discretization

  • coarse mesh (=level 1): 33 cells, 48 vertices, 193 d.o.f.`s



  • same tensor product mesh for ALL TIME STEPS !!!
  • visualization on level 5: 8,448 cells, 8,673 vertices, 42,688 d.o.f.`s
  • computation on level 6: 33,792 cells, 34,241 vertices, 169,856 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=0.0066667
  • equidistant time stepping for visualization with k= 0.04 (= 1 frame)
  • Total time T=10 seconds corresponds to 1,500 time steps
  • fractional step theta scheme




Computer requirements

  • date: 04/19/98
  • simulation by: S.Turek
  • visualization by: S.Turek
  • SUN ULTRA 45/250: 26 MB, 263,962 seconds
  • AVS data: 350 MB
  • Software: FEATFLOW1.1 + CC2D_MOVBC




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