P. Flament et al., Vortex pairing in an unstable anticyclonic shear flow: discrete subharmonics of one pendulum day, J FLUID MEC, 440, 2001, pp. 401-409
Observations of the downstream evolution of an oceanic zonal horizontal she
ar flow at a Reynolds number of about 10(11), formed as the westward North
Equatorial Current passes the island of Hawai'i, reveal finite-amplitude an
ticyclonic vortices resulting from instability of the shear. The initial or
bital period of the vortices is exactly one pendulum day (3.1 days at this
latitude), centrifugal instability presumably inhibiting stronger vortices
from forming. As they move downstream, they appear to pair and merge into s
uccessively larger vortices, in a geometric sequence of longer orbital peri
ods; three subharmonic transitions are suggested with final orbital periods
near 6, 12 and 24 days.