Geoscience Reference
In-Depth Information
(a)
(b)
10
-2
10
-2
10
-4
10
-4
10
-6
10
-6
10
-8
10
-8
10
-10
10
-10
T
K
+T
P
T
K
+T
P
10
-12
10
-12
abs(B)
abs(B)
10
-14
10
-14
10
0
10
1
10
2
10
3
10
0
10
1
10
2
10
3
k
h
/
Δ
k
k
h
/
Δ
k
Figure 8.7.
Horizontal wave number spectra of total energy transfer and buoyancy flux in simulations with fixed Re
b
≈
0.2 and
different Fr
h
and Re, corresponding to Fr
h
= (a) 0.0069 and (b) 0.0034 (runs C4 and C6). Log-log axes are used for clarity. As a
result, only
k
h
/k
4 are shown, and the absolute value of the buoyancy flux is taken. The buoyancy flux is positive over almost
all
k
h
, but the peaks around
k
h
/k
≥
≈
40 in (a) and 60 in (b) are negative.
(a)
(b)
(c)
Figure 8.8.
Vertical (
x
,
z
) slices of the
y
component of vorticity in simulations with fixed
ν
= 0.03125 cm
2
/s and different
N
(and
hence different Fr
h
and Re
b
), corresponding to Re
b
= 2.6 (top), 0.69 (middle), and 0.18 (bottom) (runs A6, B6, and C6). Shading
is saturated to white/black at
3s
−1
. Fields in (a) and (b) are plotted at the final time of the simulations
t
= 2000 s. Panel (c) is
plotted at
t
= 1900 s, which was chosen to illustrate the lone patch of Kelvin-Helmholtz billows visible at this time.
±