Nonshielded multipolar vortices at high Reynolds number.
Vortex multipoles--consisting of a core of vorticity closely surrounded by several smaller vorticity concentrations of opposite sign--are obtained from the evolution of vorticity in two-dimensional simulations. Using a meshless vortex method, we obtained triangular and square vortices, surrounded by three and four satellites, respectively. These structures have only been observed before to emerge from zero-circulation initial conditions. We also observed a pentagon vortex. Here, we obtain compound vortices of nonzero total circulation, and suggest a gamut of multipolar asymptotic solutions to the Navier-Stokes equations.
Barba
L A
LA
Department of Mathematics, University of Bristol, Bristol BS8 1TW, United Kingdom.