Waves on the Gulf Stream — Ocean data
Purpose:
Examine waves on the North Wall of the Gulf Stream and compare their properties
to a simple PV front model.
Data:
Copy ~glenn/front/gstr.mto your directory. This program allows you to retrieve
digitized north wall positions from an achive at URI. The program asks for the year and
initial day and then the number of days to return. You get back arrays year,day,lon,
latwhich you can look at. In some cases, due to missing files, you will not get as much
data back as requested — this shows up when it prints out the minimum and maximum
day. You just have to work around the missing blocks.
To do/ think about
· Find the phase speed of waves and their characteristic scales.
· Compare to waves on a barotropic front.
· Compare to a simple 1 12 layer model:
∇2 ψ −
�q
1
0
ψ
=
−q0
Rd2
y>η
y<η
or, in terms of the basic state and perturbations,
�
1
y>0
q0
∇ Ψ− 2Ψ =
−q0 y < 0
Rd
1
∇2 ψ − 2 ψ = −2q0 ηδ(y)
Rd
2
The kinematic equation for the front linearizes to
∂
∂
η − Ψy (0) η = ψx (x, 0, t)
∂t
∂x
Consider waves of the form
η ∼ eık(x−ct)
ψ ∼ φ(y)eık(x−ct)