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Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

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Impact of Sea Spray on the Balance of Turbulent Kinetic Energy in the Hurricane Surface Boundary Layer. Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco NOAA/ESRL/Physical Sciences Division in collaboration with N. Surgi, Y. Kwon and V. Tallapragada of NCEP/EMC. - PowerPoint PPT Presentation
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Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco NOAA/ESRL/Physical Sciences Division in collaboration with N. Surgi, Y. Kwon and V. Tallapragada of NCEP/EMC Impact of Sea Spray on the Balance of Turbulent Kinetic Energy in the Hurricane Surface Boundary Layer Presented at The 63 rd Interdepartmental Hurricane Conference Saint Petersburg, FL, March 4, 2009
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Page 1: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

Jian-Wen BaoChristopher W. Fairall

Sara A. MichelsonLaura Bianco

NOAA/ESRL/Physical Sciences Division

in collaboration with N. Surgi, Y. Kwon and V. Tallapragada of NCEP/EMC

Impact of Sea Spray on the Balance of Turbulent Kinetic

Energy in the Hurricane Surface Boundary Layer

Presented atThe 63rd Interdepartmental Hurricane Conference

Saint Petersburg, FL, March 4, 2009

Page 2: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

Outline• A Two-Phase Flow Problem

- Thermal effects: release of sensible and latent heat

- Mechanical effects: suspension against gravitation

• 1-D Modeling of Equilibrium SBL Flow- Balance of turbulent kinetic energy (TKE)

• Parameterization in NWP Models - Extension of the Monin-Obukhov similarity theory

• Summary of the HWRF Model Testing

Ocean

Atmosphere Sea Spray

by P. Black

Ocean surface whitecaps and foam streaks in a hurricane at wind speeds of ~46 m/s

Page 3: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

1-D Spray–Laden Atmospheric Boundary Layer Model (Kepert, Fairall and Bao, 1999)

S + ntr

r -

zn K

z +

zn

''''

''''

''''

D fallv - = tn

wqz

wqzt

q

wz

wzt

wuz

wuzt

u

sp

spvvv

sp

Page 4: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

SVgwgwg

zUwuq

t fspvv

''''

''2

2

sea spray mediated buoyancy production and dissipation

Turbulence Model

Page 5: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

Left: Mass averaged droplet radius as a function of the 10-m wind speed.Right: Mass of the droplets as a function of the 10-m wind speed

Fairall et al. (2008) Fairall et al. (2008)

Page 6: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

012

2

'

zuu

''wgzuu'''wg

zuuq

t*

v*v*

LzR

zu

ukz

TOTf*

1

3**

1 ''''u

wSu

wkgLv

v

DTOT ff**v

vf RR

u'w'Sz

u'w'kgz

LzR 33

Diagnosis of Sea Spray Effectsin Terms of the M-O Similarity Theory

lq

qlgSV

BgSV ff

3

31

1'

Page 7: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

Flux Richardson Number at 12 M

Page 8: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

Droplet Richardson Number at 12 M

Page 9: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

Summary of the 1-D Simulations

• The suspension of sea-spray droplets reduces the buoyancy and makes the surface layer more stable, reducing the friction velocity and the downward turbulent mixing of momentum.

• Sea-spray droplets tend to cool and moisten the surface boundary layer at winds below 35 ms-1 , but they tend to warm and moisten the surface boundary layer at winds above 50 ms-1. 

• The sign of the flux Richardson number is opposite to the droplet Richardson number at hurricane-strength winds.

• The effect of the flux Richardson number is smaller than that of the droplet Richardson number at hurricane-strength winds, rendering the overall effect of sea-spray to be that the vertical mixing of both momentum and heat are enhanced.

Page 10: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

The NOAA/ESRL Parameterization Scheme of Sea Spray in the HWRF Model

• A physical model of sea-spray generation function consistent with wave breaking dynamics

• An extension of the Monin-Obukhov similarity framework to take into account the feedback effects

,)L/z()z/z(ln

)UU(um0

0*

)L/z()z/z(ln)(

u

ww

h0

0

*

sp

)L/z()L/z()L/(z SP2mMO1mm

)L/z()L/z()L/(z SP2hMO1hh 11

3**

1 ''''

SPMO

v

v

LL

uwS

uwkgL

Page 11: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

HWRF Evaluation: Dennis (2005)

Track Error Comparison, 2005 Atlantic Hurricanes: DENNIS

0

20

40

60

80

100

120

140

160

0 12 24 36 48 60 72 84 96 108 120Forecast Hour

Ave

rage

Tra

ck E

rror

(nm

)

Benchmark 2008

Sea SprayParameterization

Intensity Error Comparison, 2005 Atlantic Hurricanes: DENNIS

0

5

10

15

20

25

30

35

40

0 12 24 36 48 60 72 84 96 108 120Forecast Hour

Ave

rage

Inte

nsity

Err

or (k

ts)

Benchmark 2008

Sea SprayParameterization

#cases(13) (13) (13) (13) (13) (11) (9) (7) (13) (13) (13) (13) (13) (11) (9) (7)

Track Error Comparison, 2005 Atlantic Hurricanes: DENNIS

0

20

40

60

80

100

120

140

160

0 12 24 36 48 60 72 84 96 108 120Forecast Hour

Ave

rage

Tra

ck E

rror

(nm

)

Benchmark 2008

Sea SprayParameterization

Intensity Error Comparison, 2005 Atlantic Hurricanes: DENNIS

0

5

10

15

20

25

30

35

40

0 12 24 36 48 60 72 84 96 108 120Forecast Hour

Ave

rage

Inte

nsity

Err

or (k

ts)

Benchmark 2008

Sea SprayParameterization

Page 12: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

HWRF Evaluation: Katrina (2005)

Track Error Comparison, 2005 Atlantic Hurricanes: KATRINA

0

50

100

150

200

250

300

350

0 12 24 36 48 60 72 84 96 108 120Forecast Hour

Ave

rage

Tra

ck E

rror

(nm

)

Benchmark 2008

Sea SprayParameterization

Intensity Error Comparison, 2005 Atlantic Hurricanes: KATRINA

0

10

20

30

40

50

60

0 12 24 36 48 60 72 84 96 108 120Forecast Hour

Ave

rage

Inte

nsity

Err

or (k

ts)

Benchmark 2008

Sea SprayParameterization

#cases(13) (13) (12) (11) (10) (8) (6) (4) (13) (13) (12) (11) (10) (8) (6) (4)

Track Error Comparison, 2005 Atlantic Hurricanes: KATRINA

0

50

100

150

200

250

300

350

0 12 24 36 48 60 72 84 96 108 120Forecast Hour

Ave

rage

Tra

ck E

rror

(nm

)

Benchmark 2008

Sea SprayParameterization

Intensity Error Comparison, 2005 Atlantic Hurricanes: KATRINA

0

10

20

30

40

50

60

0 12 24 36 48 60 72 84 96 108 120Forecast Hour

Ave

rage

Inte

nsity

Err

or (k

ts)

Benchmark 2008

Sea SprayParameterization

Page 13: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

Summary of the HWRF Testing

• For strong storms (such as Katrina and Rita), the scheme tends to produce a greater positive bias of intensity during the first 48-72 hours than the control runs, while the impact on track is negligible.

• For weak storms (such as Dennis), the scheme tends to produce an intensity bias that varies around that of the control runs, while the track is degraded slightly after 72 hours.

• The storm structure is affected by the sea-spray mediated momentum and heat fluxes, suggesting a strong connection between the surface fluxes and the vortex dynamics through the convection in the eyewall (not shown).

• The performance of the scheme can be improved by tuning the source function and the degree of feedback effects.

Page 14: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

Vertical profiles of absolute change in wind speed for: 10-m wind speed = 50 ms-1,droplet radius = 450 mm, mass of the droplets = 4.8*10-2 Kg/m2/s,

potential evaporation = 120000 (W m-2)

Page 15: Jian-Wen Bao Christopher W. Fairall Sara A. Michelson Laura Bianco

Vertical profiles of heat fluxes for: 10-m wind speed = 50 ms-1, droplet radius = 450 mm, mass of the droplets = 4.8*10-2 Kg/m2/s,

potential evaporation = 120000 (W m-2)


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