Vortex methods for three-dimensional separated flows

  • A. Leonard
  • P. Koumoutsakos
  • G. Winckelmans
1. Invited Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 453)


Traditionally, vortex methods have been used to model unsteady, high Reynolds number incompressible flow by representing the fluctuating vorticity field with a few tens to a few thousand Langrangian elements of vorticity. Now, with the advent of fast vortex algorithms, bringing the operating count per timestep down to O(N) from O(N2) for N computational elements, and recent developments for the accurate treatment of viscous effects, one can use vortex methods for high resolution simulations of the Navier-Stokes equations. Their classical advantages still hold - (1) computational elements are needed only where the vorticity is nonzero (2) the flow domain is grid free (3) rigorous treatment of the boundary conditions at infinity is a natural byproduct and, (4) physical insights gained by dealing directly with the vorticity field-so that vortex methods have becbrhe an interesting alternative to finite difference and spectral methods for unsteady separated flows.


Bluff Body Vorticity Field Computational Element Vortex Method Infinite Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • A. Leonard
    • 1
  • P. Koumoutsakos
    • 1
  • G. Winckelmans
    • 2
  1. 1.Graduate Aeronautical LaboratoriesCalifornia Institute of TechnologyUSA
  2. 2.Mechanical Engineering DepartmentUniversity of SherbrookeSherbrookeCanada

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