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Published on Oct 17, 2009
Four leapfrogging vortices in two-dimensions. Breadth ratio a=0.3. 100,000 passive particles to visualise flow field around vortices, coloured by velocity magnitude (spectrum palette, red high purple low). Solution method: standard Runge-Kutta 4th order with adaptive step sizing. Truncation error estimated by step halving. Spatial tolerance per time step was 1E-8.
Model - two dimensional point vortex singularities (incompressible potential flow)