Vortex methods for slightly viscous three dimensional flow

  • Dalia Fishelov
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 323)


We represent a three-dimensional vortex scheme which is a natural extension of the two-dimensional ones, in which spatial derivaties are evaluated by exatly differentiating an approximated velocity field . Numerical results are presented for a flow past a semi-infinite plate, and they demonstrate transition to turbulence. We also suggest a new way to treat the viscous term. The idea is to approximate the vorticity by convolving it with with a cutoff function. We then explicitly differentiate the cutoff function to approximate the second order spatial derivatives in the viscous term.


High Reynolds Number Three Dimensional Flow Cutoff Function Viscous Term Hairpin Vortex 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Dalia Fishelov
    • 1
  1. 1.Department of Mathematics and Lawrence Berkeley LaboratoryUniversity of CaliforniaBerkeleyUSA

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