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Computational Details:

"The `DFG-Benchmark 1995/6': Channel flow around a circle at Re=100" Back to >>The `DFG-Benchmark 1995/6': Channel flow around a circle at Re=100<<


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 of channel: 2.2, height 0.41, diameter of circle: 0.1
  • inflow b.c.'s: parabolic with (maximum) velocity 1.5 at the left edge, weighted by MIN(1,T)
  • 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=1,000




Description of the spatial discretization

  • coarse mesh (=level 1): 130 cells, 156 vertices, 702 d.o.f.`s



  • uniform refinements with exact boundary adaption
  • mesh on level 2: 520 cells, 572 vertices, 2,704 d.o.f.`s
  • mesh on level 3: 2,080 cells, 2,184 vertices, 10,608 d.o.f.`s
  • visualization on level 4: 8,320 cells, 8,528 vertices, 42,016 d.o.f.`s
  • mesh on level 5: 33,280 cells, 33,696 vertices, 167,232 d.o.f.`s
  • mesh on level 6: 133,120 cells, 133,952 vertices, 667,264 d.o.f.`s
  • maximum mesh on level 7: 532,480 cells, 534,144 vertices, 2,665,728 d.o.f.`s
  • nonconforming nonparametric rotated bilinear fem's (meanvalue version), Samarskij or first order upwinding




Description of the temporal discretization

  • equidistant time stepping or adaptive time stepping
  • Total time T=5
  • fractional step theta scheme or implicit Euler scheme




Computer requirements

  • date: 02/25/98
  • simulation by: S.Turek
  • visualization by: S.Turek
  • 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! Additionally, you may download the gnuplot files for the drag and lift plots here, or the complete output protocol files here!
  • A small set of AVS data corresponding to the 'vortex shedding' on level 3 can be downloaded here !




Please send any comments and suggestions to: featflow@featflow.de