quantification of divergence in aladin

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QUANTIFICATION OF DIVERGENCE IN ALADIN Vanja Blažica, Benedikt Strajnar, Nedjeljka Žagar

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QUANTIFICATION OF DIVERGENCE IN ALADIN. Vanja Blažica, Benedikt Strajnar, Nedjeljka Žagar. The a im of this study. T o quantify the divergent part of the kinetic energy in the mesoscale; To observe horizontal and vertical dependency of the divergent energy distribution. The methodology. - PowerPoint PPT Presentation

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Page 1: QUANTIFICATION OF DIVERGENCE IN ALADIN

QUANTIFICATION OF DIVERGENCE IN ALADINVanja Blažica, Benedikt Strajnar, Nedjeljka Žagar

Page 2: QUANTIFICATION OF DIVERGENCE IN ALADIN

THE AIM OF THIS STUDY To quantify the divergent part of the kinetic energy in

the mesoscale; To observe horizontal and vertical dependency of the

divergent energy distribution.

THE METHODOLOGY Quantification through the use of

model spectrum ALADIN/SI 4.4 km, 6-hour forecasts IC/BC by ECMWF 4D-Var

assimilation system Extension zone included in the

spectra One month average (July 2007),

with two runs per day2

Page 3: QUANTIFICATION OF DIVERGENCE IN ALADIN

BACKGROUND Vorticity and divergence Rossby and IG waves The KE spectrum can be split into divergent and

vortical part

Left: Average model spectrum over levels between 9 and 13 km. Right : The difference between KE from U+V and from VOR+DIV in percents.

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Page 4: QUANTIFICATION OF DIVERGENCE IN ALADIN

RESULTS: AVERAGE ENERGY SPECTRA

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Page 5: QUANTIFICATION OF DIVERGENCE IN ALADIN

PBL AND OROGRAPHY SPECTRUM

3/5k

101

102

103

10-4

10-3

10-2

10-1

100

101

(km)

E (

m2 /s

2 )

PBL

VOR

DIVVOR+DIV

3/5k

3k

5

Page 6: QUANTIFICATION OF DIVERGENCE IN ALADIN

RESULTS: THE DIVERGENT ENERGY CONTRIBUTION

The percentage of the divergent energy in the total kinetic energy in a selected layer.

)),(),((

),(

)(2

1

2

1

knEknE

knE

kr

VOR

n

nDIV

n

nDIV

6

Page 7: QUANTIFICATION OF DIVERGENCE IN ALADIN

RESULTS: THE DIVERGENT ENERGY

CONTRIBUTION

)),(),((

),(

)(

2

1

knEknE

knE

kr

VOR

n

nDIV

n

nDIV

bottom

top

The percentage of the divergent energy in a selected layer in the total kinetic energy over all layers.

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Page 8: QUANTIFICATION OF DIVERGENCE IN ALADIN

RESULTS: THE DIVERGENT ENERGY

CONTRIBUTION

),(),(

),(),(

nkEnkE

nkEnkr

VORDIV

DIV

Distribution of percentage of divergent energy in the total energy with respect to height and wavenumber. Relative - for each level separately. Contour interval is 0.05.

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Page 9: QUANTIFICATION OF DIVERGENCE IN ALADIN

RESULTS: THE DIVERGENT ENERGY

CONTRIBUTION

Vertical distribution of the average percentage of divergent energy in the total energy.

k DIVVOR

DIV

nkEnkE

nkEnr

),(),(

),()(

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Page 10: QUANTIFICATION OF DIVERGENCE IN ALADIN

CONCLUSIONS

The role of the divergent energy increases in the mesoscale,

particularly at shortest scales and near the surface.

The vertical dependency is more complex.

The slope of both variables becomes shallower towards the surface.

At scales above/below 100 km most of the divergent energy comes

from the free troposphere/PBL.

Below 50 km, divergent energy presents more than 50 % of total

energy in all layers.

What is the reason for the bump at cca 50 km?

Is the similar slope of PBL energy spectrum and orography spectrum

a coincidence?

Why the maximum in the stratosphere?10

Page 11: QUANTIFICATION OF DIVERGENCE IN ALADIN

ADDITIONAL SLIDE: SENSITIVITY TO DIFFUSION SCHEME

From previous to current settings: the spectral diffusion was reduced (the order from 4 to 2 and the

enhancing coefficients by a factor of five) the SLHD enhancing coefficients were increased (vorticity by two

and divergence by ten).

Distribution of average percentage of divergence in the total energy with respect to height and wavenumber. Relative - for each level separately. Contour interval is 0.05.Left: previous diffusion scheme settings.Right: current diffusion scheme settings.

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Page 12: QUANTIFICATION OF DIVERGENCE IN ALADIN

U AND V COMPONENTS OF THE WIND VECTOR AT 6TH MODEL LEVEL (~100

HPA)

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