Civil Engineering Reference
In-Depth Information
The pressure is incurred in the equation of motion. Vertically integrated over a
depth range
h
, according to a computational model layer thickness
h
, the equation
of motion can be formulated like in Backhaus (
1985
)as
þ
U
V
þ
þ
h
ϱ
x
∂
∂
U
V
0
f
p
=
∂
x
X
Y
Δ
˄
∂
¼
ð
5
:
2
Þ
y
f
0
p
=
∂
y
Δ
˄
t
∂
with
f
:
¼
Coriolis parameter;
:
¼
X
Y
for example advective terms, horizontal diffusion term;
:
¼
vertical difference;
Δ
˄
shear stress term;
U
,
V
:
:
¼
¼
components of transport averaged over depth
h
;
p
:
¼
pressure.
Finally, the barotropic HAMSOM run BP is adjusted by neglecting the
baroclinic pressure gradient within the equation of motion (Eq.
5.2
).
Based on this adjustment, HAMSOM run BP provides the following
results in
case of barotropic conditions
:
In Fig.
5.9
, the difference between OWFr and REFr of barotropic simulations
BTM is depicted for ocean variable surface elevation
, vertical velocity component
w
in 3.0-m depth, and SST field after 24 h of operating wind turbines.
In case of barotropic mode, the change of surface elevation
ζ
and the vertical
velocity component shows similar structures like the master run (baroclinic mode).
As expected, the temperature field does not show an effect due to an OWF in the
case of barotropic conditions.
The maximal difference in
surface elevation
ζ
10
3
m; the minimal
ζ
is +3.65
10
3
m, which is slightly lesser than the master run,
difference counts
6.16
a
b
c
Fig. 5.9 12-turbine OWF effect (OWFr-REFr) on the ocean under barotropic conditions. Ocean
variables are (a) surface elevation
,(b) vertical velocity component
w
at 2-m depths, and (c) SST.
The existence of vertical motion in the model area and no reaction in the temperature field,
respectively in the salinity and density field, due to OWF under barotropic conditions, leads to the
assumption that vertical motion is a result of changed barotropic pressure implicated by surface
disturbance of
ζ
ζ
due to operating wind turbines
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