Back to Start Page Introduction Motivation Contents Current State Outlook New Videos Featflow Home Page Contact



Computational Details:

"Channel flow for low Reynolds number (power law)" Back to >>Channel flow for low Reynolds number (power law)<<


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 1 and width 4
  • pressure drop b.c.'s (left:10, right:0)
  • other b.c.'s: zero velocity at fixed walls
  • initial condition at t=0: starting from rest
  • viscosity parameter: 1/nu=100
  • nonlinear viscosity nu(u) = nu (10-8+|D(u)|)**(-alpha), alpha=0, 0.5, 1 and alpha=-1


Description of the spatial discretization

  • "coarsest" mesh (=level 1): "4 unit squares"
  • coarse mesh (=level 3): 64 cells, 148 vertices, 360 d.o.f.`s
  • uniform refinements with exact boundary adaption
  • visualization on level 7: 16,384 cells, 16,705 vertices, 82,560 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

  • adaptive time stepping for computation
  • time stepping for visualization: all k=0.01 (= 1 frame)
  • Total time T=4 seconds
  • fractional step theta scheme


Computer requirements

  • date: 12/19/97
  • simulation by: S.Turek/J.Hron
  • visualization by: S.Turek
  • SUN ULTRAII/200MHZ: 66 MB, 39,484 seconds (for `alpha=0.5')
  • AVS data: 530 MB (for `alpha=0.5')
  • Software: FEATFLOW1.0 + BOUSS_POWERLAW


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