20110513 alu. eke=eke0*e 1 where eke has grown to e-fold of its initial value feb = 1/180d mar =...
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20110513
alu
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)
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
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
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
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
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
Shorteste-folding dayare around 22N
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
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
Mar May Sep Nov
Initialstate
MidDevlp(@e-fold day)
fulldevlp
Free relax
z
fy
wx
wPV yxErtel
PV profiles at 137E
No positive value
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
March: Elevation & current
Mid-slopeDay:280
Full-develpDay:1080
Eddy’s diameter~=250KM
z
gN
yv
xu
NRi
Ri
fGrowthRateEady
2
22
2
z
gN
zv
zu
NRi
Ri
fGrowthRateEady
2
22
2
152025
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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
152025
152025
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spatially high-pass satellite SSH
trajectories of all of the 2435 cyclones (blue lines) and 2273 anticyclones (red lines)
15
25
