Comments and Errata on Atmospheric and Oceanic
Fluid Dynamics (2nd Printing)
Geoffrey K. Vallis
May 27, 2008
The following errata and comments apply to the second printing of the book, available from
October 2007. (The second printing says ‘Reprinted 2007’ on the copyright page.) If you have
the first printing of the book, please see the corresponding errata sheet. Errors that occur
in both printings are (or should be) listed in both errata sheets. If you find other
errors, or if you think something is poorly explained, please contact the author at
‘gkv-at-princeton-dot-edu’.
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1.
- Page 21, first line of last paragraph. (∂h∕∂t)p should be (∂h∕∂T)p.
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2.
- Page 24, eq. (F.2). Second term in left equation should be plus, not minus. See
eq. (1.93).
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3.
- Page 27, expression for Q[ρ] on line 3. The second term on the right-hand side
should be +(∂ρ∕∂S)η,p and not -(∂ρ∕∂S)ρ,p.
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4.
- Page 34, line before (1.148). Should be α = (∂G∕∂p)T,S and not α = (∂G∕∂p)T,p.
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5.
- Page 70, expression following (2.98). Should be minus sign in front of cp∕(Tρ0βT).
[Note the use of the equation of state (1.59).]
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6.
- Page 74, eq. (2.122). For notational consistency, ρ′ should be δρ, and similarly in
the sentence immediately following.
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7.
- Pages 81–82, Eqs. (2.167) and (2.174). On right-hand sides -b should be +b and,
for more clarity, ∇ϕ should be ∇zϕ (it is a horizontal derivative).
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8.
- Page 130, eq. (3.33). Extraneous minus sign on rhs.
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9.
- Page 136–137, section 3.6.1. It should probably be stated explicitly that we are
considering the f = 0 case, especially as (3.68) only follows from (3.8) if f = 0.
The rotating case follows on page 138.
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10.
- Page 147, line before (3.134). In fact, the condition that is imposed is that the
derivative of streamfunction (i.e., the velocity) goes to zero, not streamfunction
itself.
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11.
- Page 258. This explanation (the informal mechanism) is a little brief and may
be hard to follow, and (6.48) is not transparent without more algebra. A clearer
version may be provided eventually.
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12.
- Page 237–238 on phase speed. Some sources define the ‘phase velocity’ to be given
by cp ≡ ωk∕K2, where k is the wavevector. The components of the phase velocity
are then given by cpx = ωkx∕K2, etc. Defined this way, the phase velocity is a true
velocity. However, its components do not represent the speed at which wave crests
travel along the coordinate axes. This definition is not common, but be aware of it.
Also, at the bottom on page 240, the explanation of group velocity is rather terse,
and note that ω′ = ω(k + k′) - ω(k).
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13.
- Page 343, eq. (8.17). (k) should be (k,t).
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14.
- Page 456, eq. . (11.3). The signs on the right-hand sides of both equations such be
flipped in order to be consistent with figure (11.3) and eq. (11.68). Note, though,
that there is no a priori correct definition of the sign of a streamfunction.
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15.
- Page 536–537. The appendix discusses the computation of the EP fluxes in
log-pressure coordinates. However, the computations were actually carried out in
pressure coordinates, with the scaling as indicated at the bottom of page 537, and
then the results transformed to log-pressure coordinates for plotting purposes only.