The numerical computation of steady vortex pairs

Stability of Vortex Pairs over Slender Conical Bodies: Analysis and Numerical Computation

A N INITIALLY symmetric vortex pair over a slender pointed body or wing–body combination, such as that shown in Fig. 1, becomes asymmetric as the angle of attack is increased beyond a certain value, causing large rolling moments in the case of swept wings or large side forces in the case of slender bodies, even at zero roll and yawing angles. At even larger angles of attack, unsteady vortex she...

Collisions of Vortex Filament Pairs

We consider the problem of collisions of vortex filaments for a model introduced by Klein, Majda and Damodaran [KMD95] and Zakharov [Z88, Z99] to describe the interaction of almost parallel vortex filaments in three-dimensional fluids. Since the results of Crow [C70] examples of collisions are searched as perturbations of antiparallel translating pairs of filaments, with initial perturbations r...

Vortex pairs in charged fluids.

The motion of a vortex-(anti)vortex pair is studied numerically in the framework of a dynamical Ginzburg-Landau model, relevant to the description of a superconductor or of an idealized bosonic plasma. It is shown that up to a fine ”cyclotron” internal motion, also studied in detail, two vortices brought together, rotate around each other, while a vortex and an antivortex move in formation para...

Decay of soliton-like perturbations into vortex - anti vortex pairs

This paper suggests a method to create dark soliton-like waves in a trapped atomic Bose-Einstein condensate (BEC). With the phase imprinting method, a soliton-like disturbance is produced along the x-axis. The method is used in two cases (with and without rotation of a trapping potential). The disturbance in a two-dimensional (2D) system is unstable. The soliton-like perturbation is found to de...

Numerical Simulation of Vortex Breakdown by the Vortex-Filament Method