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Fine Scale Meteorology & Air Quality Models - School of Architecture ...

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ASI2_Lecture 3_7/12/2011<br />

Suggested parameterization<br />

u u <br />

u u K<br />

<br />

i j 2<br />

Best option would be to treat <br />

<br />

i j<br />

ijtke<br />

x<br />

j<br />

x <br />

<br />

<br />

i <br />

3<br />

As first step, Martilli assumed<br />

ui<br />

u<br />

iuj<br />

K<br />

Relatively easy to implement in WRF….<br />

x<br />

j<br />

For “ K” Martilli invoked the Bougeault and Lacarrere scheme, so<br />

the vertical diffusion coefficient becomes<br />

K<br />

z<br />

<br />

cl<br />

boulac<br />

tke<br />

By analogy, in the horizontal<br />

K c maxl<br />

, x tke<br />

x<br />

boulac<br />

<br />

z<br />

zdz<br />

tkez<br />

<br />

down<br />

<br />

z<br />

zdz<br />

tkez<br />

<br />

z o<br />

1/<br />

2<br />

l<br />

upldown<br />

<br />

minl<br />

,l <br />

ASI 2: URBAN CLIMATE AND AIR POLLUTION <strong>School</strong> <strong>of</strong> <strong>Architecture</strong>, The Chinese University <strong>of</strong> Hong Kong, Hong Kong, 7-8 Dec 2011<br />

z<br />

<br />

zlup<br />

z<br />

zl<br />

l<br />

l<br />

<br />

boulac<br />

g<br />

o<br />

g<br />

up<br />

down<br />

l up and l down are the distances that a parcel<br />

originating from level z, and having the<br />

TKE <strong>of</strong> level z, can travel upward and<br />

downward before coming to rest due to<br />

buoyancy effects.<br />

Application <strong>of</strong> Filter Option<br />

Base<br />

New<br />

23

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