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Cited by 1,599Oceanographic and Atmospheric ProcessesMeteorological Phenomena and SimulationsFluid Dynamics and Turbulent Flows

Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-scale Circulation

Vallis, Geoffrey K.·2006·Cambridge University Press eBooks
DOI 10.1017/cbo9780511790447
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Abstract

Fluid dynamics is fundamental to our understanding of the atmosphere and oceans. Although many of the same principles of fluid dynamics apply to both the atmosphere and oceans, textbooks tend to concentrate on the atmosphere, the ocean, or the theory of geophysical fluid dynamics (GFD). This textbook provides a comprehensive unified treatment of atmospheric and oceanic fluid dynamics. The book introduces the fundamentals of geophysical fluid dynamics, including rotation and stratification, vorticity and potential vorticity, and scaling and approximations. It discusses baroclinic and barotropic instabilities, wave-mean flow interactions and turbulence, and the general circulation of the atmosphere and ocean. Student problems and exercises are included at the end of each chapter. Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circulation will be an invaluable graduate textbook on advanced courses in GFD, meteorology, atmospheric science and oceanography, and an excellent review volume for researchers. Additional resources are available at www.cambridge.org/9780521849692.

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  • In the absence of dissipation, material conservation of potential vorticity is expected.

    “In the absence of dissipation, we expect the material conservation of potential vorticity (PV) (Vallis 2006, section 4.5).”

    From Zonal jets at the laboratory scale: hysteresis and Rossby waves resonance (2021) · cites this paper as Vallis 2006

  • The β-effect, arising from the variation of the Coriolis effect with latitude, is responsible for the anisotropisation of the turbulent flow.

    “The only consensus is that the β -effect, arising from the variation of the Coriolis effect with latitude (Vallis 2006), is responsible for the anisotropisation of the turbulent flow.”

    From Zonal jets at the laboratory scale: hysteresis and Rossby waves resonance (2021) · cites this paper as Vallis 2006

  • The mechanism of momentum convergence due to eddy-forcing is now believed to be the primary mechanism of westerlies formation in the midlatitude atmosphere.

    “It is now believed to be the primary mechanism of westerlies formation in the midlatitude atmosphere (Vallis 2006, chapter 12).”

    From Zonal jets at the laboratory scale: hysteresis and Rossby waves resonance (2021) · cites this paper as Vallis 2006

  • The experimental flow can be reduced to a 2D β-plane analog using the classical quasigeostrophic (QG) approximation.

    “To do so, we use the classical quasigeostrophic (QG) approximation to reduce the experiment to its 2D β -plane analog (Vallis 2006, p. 67).”

    From Zonal jets at the laboratory scale: hysteresis and Rossby waves resonance (2021) · cites this paper as Vallis 2006, p. 67

  • The Rhines scale L_R is the scale at which the inertial term equates the β term; below it the advective term dominates and above it the β-term is dominant.

    “Under this scale, the advective term dominates and above it the β -term is dominant.”

    From Zonal jets at the laboratory scale: hysteresis and Rossby waves resonance (2021) · cites this paper as Vallis 2006

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Authors
Vallis, G. K.
Affiliations
Princeton University (US)
Corresponding author
Vallis, Geoffrey K.
ORCID
Vallis, Geoffrey K.
Venue
Cambridge University Press eBooks
Publisher
Cambridge University Press
Published
2006-11-06
DOI
10.1017/cbo9780511790447
OpenAlex
W4232473186
Cited by
1,599
References
0
Citations by year
2026: 38 · 2025: 56 · 2024: 60 · 2023: 53 · 2022: 112 · 2021: 88 · 2020: 135 · 2019: 118 · 2018: 124 · 2017: 118 · 2016: 116 · 2015: 83 · 2014: 124 · 2013: 95 · 2012: 49
FWCI
24.95
Type
book
Language
en
Open access
closed
Licence
www.cambridge.org/core/terms (unspecified, 2130 d)
Locations
Cambridge University Press eBooks (publishedVersion)
Topics
  • Physical Sciences › Earth and Planetary Sciences › Oceanography › Oceanographic and Atmospheric Processes
  • Physical Sciences › Earth and Planetary Sciences › Atmospheric Science › Meteorological Phenomena and Simulations
  • Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
Keywords
geophysical fluid dynamics, rotation, stratification, vorticity, potential vorticity, baroclinic instability, barotropic instability, wave-mean flow interaction, turbulent flow, general circulation, large-scale circulation

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