East Asia and Western Pacific METEOROLOGY AND CLIMATE

298
where
„
= 1 - R
a = - R 2>x
c _ v 4
9 x
= .- R - R (24)
This is saiae as that derived by Wu and Blunen. The tower boundary
condition is
TJ - 0 ; ^ 7= 0 .
(25)
The upper boundary condition is
v = V
(26)
since at the top of the boundary layer, a = a 9 , K-*0 then rj -*-oo. v^f
V T are the wind coiponents at the top of boundary layer. As a matter
of fact, they can be calculated by neglecting the friction ter»s in eq.
C23> as
D = a b-
ay
(28)
The solution to eq. (23) under the boundary condition (25), (26) are
r^ ~f
-1 -ft
u = u -u e cos£- c / D e r sinp
(29)
^ •»$ -2 ,5
v = V T -V e conp- c^D e r sinp . (30)
Foraally, they are the sane as the result obatined by Wu and filuaen
(1982). However the leaning of TJ is different since the orographic
effect has been included. To facilitate comparison with the
results obtained in p-coordinate, the solutions will be returned to the
p~coordinate t Since in the problem, T» , *¥* are assumed constant in
^ *^ 9 *
0 direction. That means
equal to zero. Thus from eq.(2)>
we have
V
= yy/
The quantities in (29), except J* , can be directly replaced by those in
p-coordinate, while 0 is
(32)