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Computational Details:

"Flow over a hill at high Reynolds number" Back to >>Flow over a hill at high 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

  • stationary 2D flow in a channel with a hill
  • domain extensions: length 1.1, height 0.17, hill at x coordinate 0.3, hill height 0.028
  • Dirichlet b.c.'s for the u-velocity at the left: parabolic velocity profile with maximum velocity 1
  • other b.c.'s: do-nothing b.c. at the right, zero velocity elsewhere for u and v
  • initial condition at t=0: starting fully developed
  • viscosity parameter: 1/nu=2,000,000




Description of the spatial discretization

  • coarse mesh (=level 1): 36 cells, 50 vertices, 206 d.o.f.`s
  • shown mesh (=level 3): 576 cells, 629 vertices, 2,984 d.o.f.`s



  • uniform refinements with exact boundary adaption
  • visualization on level 5: 9,216 cells, 9,425 vertices, 46,496 d.o.f.`s
  • computational mesh on level 8: 589,824 cells, 591,489 vertices, 2,952,448 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=0.006666667
  • equidistant time stepping for visualization with k=0.02 (= 1 frame)
  • Total time T=20 corresponds to 3,000 time steps
  • fractional step theta scheme




Computer requirements

  • date: 06/16/97
  • simulation by: R.Schmachtel/S.Turek
  • visualization by: S.Turek
  • IBM RS6000/590: 547 MB, 422,193 seconds
  • AVS data: 1,500 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