1
October 11, 2005
Recapitulation of the Equations
Governing Ocean Flows
The equations of motions are1 , the momentum equations,
u
u
u
u
1 p
2u 2u
2u
+u
+v
+w
fv =
+ Ax
+
+ Az 2 ,
t
x
y
z
0 x
x2 y 2
z
(1)
v
v
v
v
1 p
2v 2v
+u
+v
+w
+ fu =
+ Ax
+
t
x
y
INERTIAL MOTION
1 P
2u
2u 2u
u
u
u
u
+ Ax
+ 2 + Az
fv =
+w
+v
+u
0 x
z
y
x
t
z 2
x 2 y
(1)
2v
1 P
2v 2v
v
v
v
v
+ Ax
+ 2 + Az 2
+ fu =
+w
+v
+u
z
y
x
t
0 y
z
x 2 y
0=
(2)
1 P
g
z
( 3)
To clarify the relationship between a Coriolis force (fv) and
1
September 19, 2005
PHYS 3300 - Assignment 1
Assigned: September 19
Due date: October 3
1. Observed density proles are sometime well approximated by analytical functions. For example,
consider the following hyperbolic tangent1 density prole
(z) = 1 +
z +
1
October 5, 2005
Assignment 2
Due date: October 19
1. Consider a simplied two-layer ocean model consisting of a mixed surface layer of constant thickness h overlying an innitely deep bottom layer. This ocean is bounded by a continent for x 0
but is innit
Outline
EUROMAR 2011
Coherence order and
coherence selection
James Keeler
Why we need coherence selection
Concept of coherence order
Coherence transfer pathways (CTPs)
Selecting a CTP with phase cycling
Selecting a CTP with gradients
Suppression of zero-q
1
October 24, 2005
Assignment 3
Due date: November 7
1. Between 15o N and 45o N, the winds over the North Atlantic consist mostly of the easterly trades
(15o N to 30o N) and the westerlies (30o N to 45o N). An adequate analytical simplication of the
wind
1
PHYS 3300, Final Examination, December 8, 2005
Equation Sheet
u
u
u
u
1 p
2u 2u
2u
+u
+v
+w
fv =
+ Ax
+ 2 + Az 2
t
x
y
z
0 x
x2 y
z
v
v
v
v
1 p
2v 2v
+u
+v
+w
+ fu =
+ Ax
+
t
x
y
z
0 y
x2 y 2
0=
2v
+ Az 2
z
1 p
g
z
u v w
+
+
=0
x y
z
f = 2 sin
2
2
1
Equation Sheet
u
u
u
u
1 p
2u 2u
2u
+u
+v
+w
fv =
+ Ax
+ 2 + Az 2
t
x
y
z
0 x
x2 y
z
v
v
v
v
1 p
2v 2v
+u
+v
+w
+ fu =
+ Ax
+
t
x
y
z
0 y
x2 y 2
0=
1 p
g
z
u v w
+
+
=0
x y
z
f = 2 sin
2
2
=
= 7.2722 105 rad s1
=
1 day
86400 s
N2 =
g
0 z
V
f
2
Ti
1
PHYS 3300, Ekman Pumping
Note: These notes replace the section entitled Ekman Pumping on p. 148-149 in Stewarts texbook.
Ekman pumping
The horizontal variability of the wind blowing on the sea surface leads to horizontal variability of the
Ekman transpo