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Figure 7.13 Coefficients
a
1
(designated as
a
, line with asterisks) and
a
2
(designated as
b
,dashed
line) as functions of the wind forcing parameter
U
10
/
c
p
computed for Combi spectra at wind speed
U
10
=
10m
/
s. Line with dots shows coefficient
a
2
0
after the frequency correction was applied.
The experimental coefficient
a
exp
=
.
0065 (
Young & Babanin
,
2006a
) is shown with a bold line.
Figure is reproduced from
Babanin
et al.
(
2010c
)
0
©
American Meteorological Society. Reprinted
with permission
Figure 7.14 The spectral dissipation function
S
ds
(
f
)
(line with dots) with coefficients
a
1
and
a
2
of
Figure 7.13
. Computations were performed for a Combi spectrum with wind forcing
U
10
/
c
p
=
2
.
7
andwindspeed
U
10
=
10m
/
s. The corresponding wind input
S
in
(
f
)
is shown as the plain line.
Figure is reproduced from
Babanin
et al.
(
2010c
) © American Meteorological Society. Reprinted
with permission
saturates due to the cumulative term according to
Figure 7.12
). This fact highlights the sig-
nificance and importance of the cumulative term
T
2
(
which, no matter how small it is in
absolute value, cannot be disregarded in the spectral sense.
For older waves, the difference between the coefficients reduces; and for a mature stage
of development,
U
10
/
f
)
a
2
. For even older waves,
approaching the full-development, the magnitude of coefficient
a
1
drops rapidly, signifying
absence of wave breaking at the spectral peak (
Banner
et al.
,
2000
). The coefficient
a
2
c
p
∼
1
.
2, the relationships cross:
a
1
=
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