|
x,y,t
|
Cartesian coordinates wherein x and y increase eastward and northward
|
|
〈 〈a,b〉 〉
|
Horizontal vector with eastward and northward components a and b
|
|
V=〈 〈u,v〉 〉
|
Horizontal velocity vector
|
| ∇≡〈 〈∂
x
,∂
y
〉 〉
|
Horizontal gradient operator
|
|
p
|
Pressure
|
|
q≡v
x
−u
y
−y
p
|
Linearized Ertel’s potential vorticity: \(q^{*} \equiv v^{*}_{x^{*}}-u^{*}_{y^{*}} - (f^{*}/{c^{*}}^{2}) p^{*}\)
|
|
φ
| Solution of ∇2
φ−y
2
φ−3φ
tt
=q, see (16) & (17a)
|
|
φ
app
| Solution of ∇2
φ
app−y
2
φ
app=q, see (26a) & (18a)
|
|
(u
2+v
2+p
2)/2
|
Wave energy: (u
∗
2+v
∗
2+p
∗
2/c
∗
2)/2
|
|
θ=k
x−ω
t
|
Wave phase
|
|
k
|
Zonal wavenumber
|
|
ω
|
Wave frequency
|
|
H
(n)
|
Hermite polynomial, see endnote 1
|
|
n
|
Meridional mode number of free equatorial waves
|
|
\(\overline {A}\)
|
Phase average of A
|
