Volume 1 - The Atmospheric Studies Group at TRC

y H
( 1−
34.15z
/ L) 1/ 3
= (3-9)
The momentum (M) and heat flux (H) relations for the stable surface layer (L>0) are:
z ⎛ z c ⎞ ⎛ z ⎞ bc
− ΨM = + b⎜
− ⎟ exp ⎜ − d ⎟ +
(3-10)
L ⎝ L d ⎠ ⎝ L ⎠ d
3/ 2
⎛ 2z
⎞ ⎛ z c ⎞ ⎛ z ⎞ bc
− Ψ = ⎜1
+ ⎟ + b⎜
− ⎟ exp⎜
− d ⎟ + − 1
(3-11)
H
⎝ 3L
⎠ ⎝ L d ⎠ ⎝ L ⎠ d
where b=2/3, c=5, and d=0.35.
COARE Bulk Flux Algorithm Option
The COARE 2.6bw bulk flux model represents fluxes for momentum, heat, and water
vapor from the sea surface to the atmosphere in terms of the mean profiles as:
w' x'
= c c S∆
(3-12)
where
x
d
x
x
c x
c d
S
∆ x
is either wind speed (S), potential temperature (θ), or water
vapor mixing ratio (q)
is the bulk transfer coefficient for the variable x
is the bulk transfer coefficient for wind speed
is the mean wind speed relative to the sea surface at a reference
height, including a gustiness component
is the sea-air difference in the mean value of x at a reference
height, x s -x(z r )
The three flux quantities can also be expressed as the similarity scaling parameters u * ,
θ * , and q * :
w'
u'
= −u
(3-13)
2
*
Final Report Vol.1 9