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Computational Details:

"(Regularized) Driven Cavity (II) at low Reynolds number (height 4, width 1 of the cavity)" Back to >>(Regularized) Driven Cavity (II) at low Reynolds number (height 4, 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 4 and width 1
  • Dirichlet b.c.'s: the parabolic u-velocity profile with maximum value of 1 at the top and at the bottom with maximum value of 0.5
  • 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): 64 cells, 148 vertices, 360 d.o.f.`s



  • uniform refinements with exact boundary adaption
  • visualization on level 6: 4,096 cells, 4,257 vertices, 20,800 d.o.f.`s
  • computational mesh on level 8: 65,536 cells, 66,177 vertices, 328,960 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=200 seconds corresponds to 7,200 time steps
  • fractional step theta scheme




Computer requirements

  • date: 12/18/97
  • simulation by: M.Altieri
  • visualization by: M.Altieri
  • SUN ULTRA1/170: 51 MB, 199,630 seconds
  • AVS data: 903 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