Barotropic meandering jet.

Lobe dynamics in a numerical model of a barotropic jet on the beta-plane. Stable and unstable manifolds are calculated over an interval of time which covers several periods of as measured by the dominant time period in the vector field. The resulting lobes provide a geometric description of the exchange of fluid between the cat's-eye region with circulating fluid motion, the core of the jet with prograde motion, and the ambient fluid outside the jet with retrograde motion.

beta=.207, Re=10,000
PDE solution using 64 x 64 Fourier modes.

beta = 0.207;   Re = 10,000

Lobe dynamics
GIF image t = 0, 30.5, 61.0, 91.5, 122.0

Lobe dynamics with potential vorticity contours
GIF image t = 0

PDE solution using 128 x 128 Fourier modes.

MPEG Videos :
Parameters Time Interval     Ref Frame     Description   (Size)
beta = 0.103,   Re = 1,000 16 < t < 216 c = 0.1209 pv contours   (2729kB)
pv pseudocolor   (1314kB)
beta = 0.103,   Re = 10,000     16 < t < 216 c = 0.1255 pv contours   (2891kB)
pv pseudocolor   (1604kB)
beta = 0.207,   Re = 10,000 16 < t < 216 c = 0.1641 pv contours   (2807kB)
pv contours   (1906kB)
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beta = 0.103,   Re = 10,000 0 < t < 248 c = 0.0 pv contours   (1725kB)


Wind-forced circulation around an island or ridge.

Lobe dynamics from a shallow water, numerical simulation of the wind-forced circulation around a large island. The lobes describe the exchange of fluid between the recirculation gyre east of the island and the ambient through-flow.

d_i = 85km, t = 56 d_i = 85km,   d_m = 40km

GIF Images :

MPEG Videos :

d_i = 90km, t = 52 d_i = 90km,   d_m = 40km

GIF Images :

MPEG Videos :
0 < t < 100   gyre,   pv contours   (1912kB)

d_i = 95km, t = 54 d_i = 95km,   d_m = 40km

GIF Images :

MPEG Videos :
0 < t < 100   basin,   pv contours   (3143kB)
0 < t < 100   basin,   pv pseudocolor   (1765kB)
0 < t < 100   gyre,   pv contours   (1989kB)
0 < t < 100   gyre,   pv pseudocolor   (1886kB)

d_i = 100km, t = 50 d_i = 100km,   d_m = 40km

GIF Images :

MPEG Videos :