Table 1 List of symbols, where A ∗ and A are arbitrary quantities written dimensionally or non-dimensionally, respectively
\(f^{*}=f^{*}_{0} + \beta ^{*} y^{*}\) | Coriolis parameter |
|---|---|
c ∗ | Speed of long gravity wave |
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 | |
φ app | |
(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 |