The differential équations appropriate for tropical or extratropical
storm surge problems on the open coast and in enclosed and semienclosed
basins are as follows;
du
— +
at
aMxx
------ +
ax
3y
fv -
as
gD —
3x
at
ar
+ gD — + gD —
T SX
+ —
P
Tbx
-------- +
P
WXP (3-50)
dx
dx
Advection
o f
Momentum
Coriolis
Surface Slope
Inverse
|
Barometer
1
Astro. Tide
Potential
1
Wind
Stress
^Bottom
Stress <
Rainfall Rate
av
— +
at
ay
=
dx
- HJ -
as
gD -
3y
+ gD
dt
- + gD
ay
K
dy
+ P
_ [by +
P
WyP (3-51)
dS
— +
dt
9U
— +
dx
dV
— = P
9y
where
S
S
v2dz;
uvdz;
-d
-d
The symbols are defined as :
= x and y components, respectively, of the volume
transport per unit width;
t = time;
Myy> *xy = momentum transport quantities;
f = 2uj sin ÿ = Coriolis parameter;
3-94