THE NEAR-SURFACE LAYER OF THE OCEAN
2 3 2 2
2 2
0
'
96
h
R
h
g
K
L
W
U
U
|
,
(5.19)
On the time and space scales where the determining parameters
2
, , and '
h W
U can be treated as stationary, formula (5.19) results in a
constant (!) horizontal mixing coefficient. Parameterization of the horizontal
mixing thus reduces to the classical problem described by a linear diffusion
equation. An example is Brownian motion. According to Einstein’s (1905)
formula for Brownian motion:
1/ 2
2 h
D
K t
,
(5.20)
where D is the RMS distance.
Figure 5-15. RMS distance D in the cluster of 5 drifters released on 25 Oct 1993 (-5
o S, 90
o W)
as a function of time t elapsed from the drifter release.
Evidence in favor of (5.20) can be found from drifter cluster release
experiments (Ozgokmen et al., 2001). Figure 5-15 shows the RMS distance
D in the cluster of 5 drifters released on 25 October 1993 (5
o S, 90
o W) as a
310
2 3 2 2
2 2
0
'
96
h
R
h
g
K
L
W
U
U
|
,
(5.19)
On the time and space scales where the determining parameters
2
, , and '
h W
U can be treated as stationary, formula (5.19) results in a
constant (!) horizontal mixing coefficient. Parameterization of the horizontal
mixing thus reduces to the classical problem described by a linear diffusion
equation. An example is Brownian motion. According to Einstein’s (1905)
formula for Brownian motion:
1/ 2
2 h
D
K t
,
(5.20)
where D is the RMS distance.
Figure 5-15. RMS distance D in the cluster of 5 drifters released on 25 Oct 1993 (-5
o S, 90
o W)
as a function of time t elapsed from the drifter release.
Evidence in favor of (5.20) can be found from drifter cluster release
experiments (Ozgokmen et al., 2001). Figure 5-15 shows the RMS distance
D in the cluster of 5 drifters released on 25 October 1993 (5
o S, 90
o W) as a
310