20110513 alu. eke=eke0*e 1 where eke has grown to e-fold of its initial value feb = 1/180d mar =...

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

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

152025

152025

20

spatially high-pass satellite SSH

trajectories of all of the 2435 cyclones (blue lines) and 2273 anticyclones (red lines)

15

25