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20110513
alu
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EKE=EKE0*e1 where EKE has grown to e-fold of its initial value
Feb = 1/180d
Mar = 1/210d
Jan = 1/280d
Apr = 1/305d
May= 1/380d
EKE=EKE0
EKE – averaged zonally as well as from 18o-25oN
/wrk/profs/hunglu/model/sbPOM/stcc_ideal/stcc_nec_3yr/from_gaea/stcc_run_perturb_3yr_fs/eke_growth_rate/monthly_log_EKE_over_EKE0_0d.gif
LEKE=ln(EKE/EKE0)
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Selected months: Mar, May, Sep, Nov
22 vuEKE
uuu
Eddy kinetic Energy (averaged from 18N~25N)
Free relaxteEKEEKE
0
t
LEKE
tEKE
EKELEKE
0
ln
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EKE=EKE0eσt
LEKE≡ln(EKE/EKE0)=σtd (LEKE)/dt= σ
d (LEKE)/dt= σunit: 1/day
Pink:50daysred: 100daysGreen: <0
LEKE≡ln(EKE/EKE0)=σt,When LEKE=1, tells that EKE=e*EKE0.In this figure, the red line indicates how long the EKE along latitude takes to grow to e*EKE0.i.e., it takes longer to reach LEKE=1 around 20~22N than 22~24N
Case: Mar
No-smooth 10 j-point smooth
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EKE=EKE0eσt
LEKE≡ln(EKE/EKE0)=σtd (LEKE)/dt= σ
d (LEKE)/dt= σ
LEKE≡ln(EKE/EKE0)=σt
Case: May
No-smooth 10 j-point smooth
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EKE=EKE0eσt
LEKE≡ln(EKE/EKE0)=σtd (LEKE)/dt= σ
d (LEKE)/dt= σ
LEKE≡ln(EKE/EKE0)=σt
Case: Sep
No-smooth 10 j-point smooth
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EKE=EKE0eσt
LEKE≡ln(EKE/EKE0)=σtd (LEKE)/dt= σ
d (LEKE)/dt= σ
LEKE≡ln(EKE/EKE0)=σt
Case: Nov
No-smooth 10 j-point smooth
![Page 8: 20110513 alu. EKE=EKE0*e 1 where EKE has grown to e-fold of its initial value Feb = 1/180d Mar = 1/210d Jan = 1/280d Apr = 1/305d May = 1/380d](https://reader035.vdocuments.us/reader035/viewer/2022062409/5697bf921a28abf838c8f075/html5/thumbnails/8.jpg)
Shorteste-folding dayare around 22N
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e-folding day for each month, minimum at Oct, maximum at Feb (averaged from 18N~25N)
Black line: Instantaneous growth rate, which is the slope of LEKE, at e-folding day for each month.
red line: mean growth rate from t=0 to e-folding day
100 days
100 days
200 days
200 days
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Mar May Sep Nov
Free relax
zf
yw
xwPV yxErtel
Initialstate
Middevlp
fulldevlp
Sep is th most stable case
PV maps at 55mNo positive value
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Mar May Sep Nov
Initialstate
MidDevlp(@e-fold day)
fulldevlp
Free relax
z
fy
wx
wPV yxErtel
PV profiles at 137E
No positive value
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Mar May Sep Nov
Initialstate
MidDevlp(at e-fold day)
fulldevlp
Free relax
z
fy
wx
wPV yxErtel
dPVdy profiles at 137E superimposed with u and temp
No positive value in PV
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March: Elevation & current
Mid-slopeDay:280
Full-develpDay:1080
Eddy’s diameter~=250KM
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z
gN
yv
xu
NRi
Ri
fGrowthRateEady
2
22
2
z
gN
zv
zu
NRi
Ri
fGrowthRateEady
2
22
2
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152025
20
spatially high-pass satellite SSH
trajectories of all of the 2435 cyclones (blue lines) and 2273 anticyclones (red lines)
15
25
Study Region
Study Region
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152025
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152025
20
spatially high-pass satellite SSH
trajectories of all of the 2435 cyclones (blue lines) and 2273 anticyclones (red lines)
15
25
![Page 20: 20110513 alu. EKE=EKE0*e 1 where EKE has grown to e-fold of its initial value Feb = 1/180d Mar = 1/210d Jan = 1/280d Apr = 1/305d May = 1/380d](https://reader035.vdocuments.us/reader035/viewer/2022062409/5697bf921a28abf838c8f075/html5/thumbnails/20.jpg)