Wind-driven circulation
121
and eventually
D
f 0
Π ∗ =1+ǫ(ζ + βy − Fη + η b )+O(ǫ
2 )=1+ǫΠ+O(ǫ
2 ).
(5.97)
The relation DΠ/dt =0is thus a representation of conservation of potential
vorticity and the dimensional potential vorticity
Π ∗ = ∇
2
∗ ψ ∗ − λ 0 ψ ∗ +
f 0
D
h b∗
(5.98)
is often referred to as the quasi-geostrophic potential vorticity.
121
and eventually
D
f 0
Π ∗ =1+ǫ(ζ + βy − Fη + η b )+O(ǫ
2 )=1+ǫΠ+O(ǫ
2 ).
(5.97)
The relation DΠ/dt =0is thus a representation of conservation of potential
vorticity and the dimensional potential vorticity
Π ∗ = ∇
2
∗ ψ ∗ − λ 0 ψ ∗ +
f 0
D
h b∗
(5.98)
is often referred to as the quasi-geostrophic potential vorticity.