A Numerical Method for Simulating Fast-Swimming Motions

  • Ricardo Cortez
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 124)


A numerical method for the simulation of thin, elastic immersed boundaries in a two-dimensional fluid is introduced. The method is Lagrangian and combines the use of vortices and impulse elements (vortex dipoles). Consequently, it is best suited for applications where the Reynolds number is high. The example presented here is the motion of an undulating filament, simulating the swimming of an organism in a slightly viscous fluid.

Key words

Particle methods immersed boundaries 

AMS(MOS) subject classifications

65C20 76D05 


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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Ricardo Cortez
    • 1
  1. 1.Department of MathematicsTulane UniversityNew Orleans

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