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Atmospheric and Oceanic Fluid Dynamics
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  • Cited by 703
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    El-Nabulsi, Rami Ahmad 2019. Geostrophic Flow and Wind-Driven Ocean Currents Depending on the Spatial Dimensionality of the Medium. Pure and Applied Geophysics,

    Castillo-Trujillo, Alma Carolina Partridge, Dale Powell, Brian and Flament, Pierre 2019. Vorticity Balance off the South Shore of Oahu, Hawaii, Derived by High-Frequency Radio Doppler Current Observations. Journal of Physical Oceanography, Vol. 49, Issue. 1, p. 211.

    Meroni, Agostino N. McConnochie, Craig D. Cenedese, Claudia Sutherland, Bruce and Snow, Kate 2019. Nonlinear influence of the Earth’s rotation on iceberg melting. Journal of Fluid Mechanics, Vol. 858, Issue. , p. 832.

    Kluczek, Mateusz 2019. Exact Pollard-like internal water waves. Journal of Nonlinear Mathematical Physics, Vol. 26, Issue. 1, p. 133.

    Pierrehumbert, Raymond T. and Hammond, Mark 2019. Atmospheric Circulation of Tide-Locked Exoplanets. Annual Review of Fluid Mechanics, Vol. 51, Issue. 1, p. 275.

    Sutherland, Bruce R. Achatz, Ulrich Caulfield, Colm-cille P. and Klymak, Jody M. 2019. Recent progress in modeling imbalance in the atmosphere and ocean. Physical Review Fluids, Vol. 4, Issue. 1,

    Zhao, Ken X. Stewart, Andrew L. and McWilliams, James C. 2019. Sill-Influenced Exchange Flows in Ice Shelf Cavities. Journal of Physical Oceanography, Vol. 49, Issue. 1, p. 163.

    Natarov, Andrei and Richards, Kelvin J. 2019. On plane internal waves: their amplification, and potential to break in a rotating stratified quiescent fluid. Geophysical & Astrophysical Fluid Dynamics, p. 1.

    Suárez Moreno, Roberto 2019. Interdecadal Changes in Ocean Teleconnections with the Sahel. p. 9.

    Mizuta, Genta 2018. Upgradient and Downgradient Potential Vorticity Fluxes Produced by Forced Rossby Waves. Part I: Basic Experiments. Journal of Physical Oceanography, Vol. 48, Issue. 5, p. 1191.

    Domeisen, Daniela I. V. Badin, Gualtiero and Koszalka, Inga M. 2018. How Predictable Are the Arctic and North Atlantic Oscillations? Exploring the Variability and Predictability of the Northern Hemisphere. Journal of Climate, Vol. 31, Issue. 3, p. 997.

    Williams, Richard G. and Meijers, Andrew 2018. Reference Module in Earth Systems and Environmental Sciences.

    Zanna, L. Brankart, J. M. Huber, M. Leroux, S. Penduff, T. and Williams, P. D. 2018. Uncertainty and scale interactions in ocean ensembles: From seasonal forecasts to multidecadal climate predictions. Quarterly Journal of the Royal Meteorological Society,

    Hammond, Mark and Pierrehumbert, Raymond T. 2018. Wave-mean Flow Interactions in the Atmospheric Circulation of Tidally Locked Planets. The Astrophysical Journal, Vol. 869, Issue. 1, p. 65.

    Owen, Alex Grimshaw, Roger and Wingate, Beth 2018. Fast and slow resonant triads in the two-layer rotating shallow water equations. Journal of Fluid Mechanics, Vol. 850, Issue. , p. 18.

    Lutsko, Nicholas J. and Popp, Max 2018. The Influence of Meridional Gradients in Insolation and Longwave Optical Depth on the Climate of a Gray Radiation GCM. Journal of Climate, Vol. 31, Issue. 19, p. 7803.

    Kang, Wanying and Tziperman, Eli 2018. The Role of Zonal Asymmetry in the Enhancement and Suppression of Sudden Stratospheric Warming Variability by the Madden–Julian Oscillation. Journal of Climate, Vol. 31, Issue. 6, p. 2399.

    Wirth, Achim 2018. A Fluctuation–Dissipation Relation for the Ocean Subject to Turbulent Atmospheric Forcing. Journal of Physical Oceanography, Vol. 48, Issue. 4, p. 831.

    Geng, Wu Xie, Qiang Chen, Gengxin Liu, Qinyan and Wang, Dongxiao 2018. A three-dimensional modeling study on eddy-mean flow interaction between a Gaussian-type anticyclonic eddy and Kuroshio. Journal of Oceanography, Vol. 74, Issue. 1, p. 23.

    Kamenkovich, Igor and Berloff, Pavel 2018. Advances in Nonlinear Geosciences. p. 161.


Book description

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


‘Geoff Vallis' [Atmospheric and Oceanic Fluid Dynamics] will become the standard text on modern large-scale atmosphere and ocean dynamics. It covers the field from the equations of motion to modern developments such as wave-mean flow interaction theory and theories for the global-scale circulations of atmospheres and oceans. There is no book of comparable comprehensiveness, spanning the needs of beginning graduate students and researchers alike.’

Tapio Schneider - California Institute of Technology

‘This clearly written, self-contained new book is a modern treatment of atmospheric and oceanic dynamics. The book starts from classical concepts in fluid dynamics and thermodynamics and takes the reader to the frontier of current research. This is an accessible textbook for beginning students in meteorology, oceanography and climate sciences. Mature researchers will welcome this work as a stimulating resource. This is also the only textbook on geophysical fluid dynamics with a comprehensive collection of problems; these cement the material and expand it to a more advanced level. Highly recommended!’

Paola Cessi - Scripps Institution of Oceanography, University of California, San Diego

‘Vallis provides a cohesive view of GFD that smoothly blends classic results with modern interpretations. The book strikes an ideal balance between mathematical rigor and physical intuition, and between atmosphere - and ocean-relevant applications. The use of a hierarchy of models is particularly welcome. Each physical phenomenon is modeled with the right degree of complexity, and the reader is introduced to the value of the hierarchy at an early stage. Well-designed homework problems spanning a broad range of difficulty make the book very appropriate for use in introductory courses in GFD.’

Adam Sobel - Lamont-Doherty Earth Observatory, Columbia University

‘I have adopted this text for my course in Atmosphere-Ocean Dynamics because the ideas are clearly presented and up-to-date. The text provides the flexibility for the instructor to choose among a variety of paths that take the student from the foundations of the subject to current research topics. For me as a researcher, the text is satisfying because it presents a unified view of the ideas that underlie the modern theory of large scale atmospheric and oceanic circulations.’

Paul J. Kushner - University of Toronto

‘The large-scale circulation in the atmosphere-ocean system is maintained by small scale turbulent motions that interact with large scale radiative processes. The first half of the book introduces the basic theories of large-scale atmosphere-ocean flows and of small-scale turbulent motions. In the second half, the two theories are brought together to explain how the interactions of motions on different scales maintain the global-scale climate. The emphasis on turbulent motions and their effect on larger scales makes this book a gem in the GFD literature. Finally we have a textbook that is up to date with our current understanding of the climate system.’

Raffaele Ferrari - Massachusetts Institute of Technology

' … sure to grace the shelves of libraries and (at CUP's remarkably reasonable price for such a large hardback volume) even individuals for many years to come, both as a reference and a tutorial text.'

Source: Quarterly Journal of the Royal Meteorological Society

'… highly recommended textbook: those who would like to gain a deeper understanding of the large-scale atmospheric and oceanic circulation, and at the same time want to be provided with the necessary hydrodynamic foundations, will be served very well indeed by this book.'

Source: Physik Journal

'…it is one of the strengths of the book to provide a clear and consistent view from the fundamentals to the current research topics. Moreover, I also found the book extremely helpful to introduce the issues of fluid dynamics to students. … I consulted the book many times and found its presentation exceptionally clear and concise. … I would be happy to see this wonderful textbook on as many desks of our community as possible.'

Source: Meteorologische Zeitschrift

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