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Volume 1 - The Atmospheric Studies Group at TRC

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3. TECHNICAL DESCRIPTION OF SYSTEM UPDATES<br />

3.1 CALMET<br />

Similarity Profiles for Wind and Temper<strong>at</strong>ure<br />

Some inconsistencies are found in the Monin-Obukhov similarity profile equ<strong>at</strong>ions<br />

for wind speed and temper<strong>at</strong>ure used in OCD, CALMET, and COARE. <strong>The</strong> upd<strong>at</strong>ed<br />

rel<strong>at</strong>ions used in COARE for the extended surface layer (z/L >1) are implemented<br />

throughout CALMET.<br />

COARE adopts the profile expressions provided in Beljaars and Holtslag (1991),<br />

who retain the Paulson (1970) and Dyer(1974) stability functions Ψ for the unstable<br />

surface layer, but propose new functions for the stable surface layer. In addition,<br />

COARE merges the stability function for the unstable surface layer with a free<br />

convection rel<strong>at</strong>ion for large z/L (L is the Monin-Obukhov length) using a weighting<br />

parameter F Ψ (Grachev et al., 2000):<br />

Ψ =<br />

( − FΨ<br />

) ΨK<br />

+ FΨ<br />

ΨC<br />

1 (3-1)<br />

2<br />

( z L )<br />

+ ( z ) 2<br />

F =<br />

(3-2)<br />

Ψ<br />

1 L<br />

where subscript K denotes the “Kansas” stability function, and subscript C denotes<br />

the free convection stability function.<br />

<strong>The</strong> momentum (M) and he<strong>at</strong> flux (H) rel<strong>at</strong>ions for the unstable surface layer (L

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