Exploring 4 Vortex Leapfrogging

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  • Re = 1e5 180 particles on each ring. Dimensionless inputs: Radius of each ring = 1.0 Circulation ( Γ) = 1.0 dt = 0.1.
  • The time evolution of a trio of
  • Bifurcated asymmetric
  • Joukowsky (1912) deduced that any number of equal helical
  • Vortex leapfrogging: numerical solution of vortex dynamical equations

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Leapfrogging Four leapfrogging vortices Same as the colour version but in black and white so the tracer particles don't fade away as the induced velocity magnitude ... Leapfrogging

Four point vortices in an unbounded ideal fluid

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