A Mathematical Theory Of Large Scale Atmosphere Ocean Flow

Author : Michael J. P. Cullen
Publisher : Imperial College Press
ISBN 13 : 1860949193
Total Pages : 274 pages
Book Rating : 4.97/5 ( download)

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Download or read book A Mathematical Theory of Large-scale Atmosphere/ocean Flow written by Michael J. P. Cullen and published by Imperial College Press. This book was released on 2006 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book counteracts the current fashion for theories of OC chaosOCO and unpredictability by describing a theory that underpins the surprising accuracy of current deterministic weather forecasts, and it suggests that further improvements are possible. The book does this by making a unique link between an exciting new branch of mathematics called OC optimal transportationOCO and existing classical theories of the large-scale atmosphere and ocean circulation. It is then possible to solve a set of simple equations proposed many years ago by Hoskins which are asymptotically valid on large scales, and use them to derive quantitative predictions about many large-scale atmospheric and oceanic phenomena. A particular feature is that the simple equations used have highly predictable solutions, thus suggesting that the limits of deterministic predictability of the weather may not yet have been reached. It is also possible to make rigorous statements about the large-scale behaviour of the atmosphere and ocean by proving results using these simple equations and applying them to the real system allowing for the errors in the approximation. There are a number of other titles in this field, but they do not treat this large-scale regime. Contents: The Governing Equations and Asymptotic Approximations to Them; Solution of the Semi-Geostrophic Equations in Plane Geometry; Solution of the Semi-Geostrophic Equations in More General Cases; Properties of Semi-Geostrophic Solutions; Application of Semi-Geostrophic Theory to the Predictability of atmospheric Flows. Readership: Researchers and graduate students in atmosphere/ocean dynamics with some mathematical background."

Author : John Norbury
Publisher : Cambridge University Press
ISBN 13 : 9780521807579
Total Pages : 26 pages
Book Rating : 4.73/5 ( download)

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Download or read book Large-Scale Atmosphere-Ocean Dynamics written by John Norbury and published by Cambridge University Press. This book was released on 2002-08-15 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Author : Michael John Priestley Cullen
Publisher : World Scientific
ISBN 13 : 9811240167
Total Pages : 411 pages
Book Rating : 4.64/5 ( download)

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Download or read book The Mathematics Of Large-scale Atmosphere And Ocean written by Michael John Priestley Cullen and published by World Scientific. This book was released on 2021-06-04 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The high predictability of the atmosphere and ocean depends on the existence of a 'slow manifold', which contains the solutions of equations describing only large-scale motions. This unique compendium succinctly describes major recent advances in showing that these equations can be solved independently.The book is a new edition of a similar book published 15 years ago. The explanation of the mathematical techniques has been expanded. Many new theoretical results are included. Illustrations derived from production atmosphere and ocean models are also incorporated to cover the full range between rigorous mathematics and state-of-the-art numerical modelling.The author is a dynamical meteorologist with long experience and international standing. The mathematical results in the book were proved by many of the world's leading analysts. The results come from the Met Office Unified Model, which is one of the world's leading weather and climate models.Related Link(s)

Author : Michael J. P. Cullen
Publisher :
ISBN 13 : 9789811240157
Total Pages : pages
Book Rating : 4.59/5 ( download)

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Download or read book The Mathematics of Large-scale Atmosphere and Ocean written by Michael J. P. Cullen and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Geoffrey K. Vallis
Publisher : Cambridge University Press
ISBN 13 : 1139459961
Total Pages : 772 pages
Book Rating : 4.69/5 ( download)

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Download or read book Atmospheric and Oceanic Fluid Dynamics written by Geoffrey K. Vallis and published by Cambridge University Press. This book was released on 2006-11-06 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : R. M. Samelson
Publisher : Cambridge University Press
ISBN 13 : 1139499009
Total Pages : 209 pages
Book Rating : 4.02/5 ( download)

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Download or read book The Theory of Large-Scale Ocean Circulation written by R. M. Samelson and published by Cambridge University Press. This book was released on 2011-06-27 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mounting evidence that human activities are substantially modifying the Earth's climate brings a new imperative to the study of the ocean's large-scale circulation. This textbook provides a concise but comprehensive introduction to the theory of large-scale ocean circulation, as it is currently understood and established. Students and instructors will benefit from the carefully chosen chapter-by-chapter exercises. This advanced textbook is invaluable for graduate students and researchers in the fields of oceanic, atmospheric and climate sciences, and other geophysical scientists, as well as physicists and mathematicians with a quantitative interest in the planetary fluid environment.

Author : John Norbury
Publisher : Cambridge University Press
ISBN 13 : 9780521806817
Total Pages : 408 pages
Book Rating : 4.1X/5 ( download)

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Download or read book Large-scale Atmosphere-ocean Dynamics: Analytical methods and numerical models written by John Norbury and published by Cambridge University Press. This book was released on 2002 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Author : Roger M. Samelson
Publisher :
ISBN 13 : 9781139099578
Total Pages : 193 pages
Book Rating : 4.74/5 ( download)

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Download or read book Theory of Large-Scale Ocean Circulation written by Roger M. Samelson and published by . This book was released on 2011 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mounting evidence that human activities are substantially modifying the Earth's climate brings a new imperative to the study of the ocean's large-scale circulation. This textbook provides a concise but comprehensive introduction to the theory of large-scale ocean circulation, as it is currently understood and established. Students and instructors will benefit from the carefully chosen chapter-by-chapter exercises. This advanced textbook is invaluable for graduate students and researchers in the fields of oceanic, atmospheric, and climate sciences and other geophysical scientists, as well as physicists and mathematicians with a quantitative interest in the planetary fluid environment.

Author : John Norbury
Publisher : Cambridge University Press
ISBN 13 : 9780511549991
Total Pages : 0 pages
Book Rating : 4.97/5 ( download)

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Download or read book Large-Scale Atmosphere-Ocean Dynamics: Volume 1 written by John Norbury and published by Cambridge University Press. This book was released on 2010-02-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complex flows in the atmosphere and oceans are believed to be accurately modelled by the Navier-Stokes equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equations, meteorologists and oceanographers have constructed approximate models of the dominant, large-scale flows that control the evolution of weather systems. The simplifications often result in models that are amenable to solution both analytically and numerically. This volume and its companion explain why such simplifications to Newton's second law produce accurate, useful models and, just as the meteorologist seeks patterns in the weather, mathematicians seek structure in the governing equations. They show how geometry and analysis facilitate solution strategies.

Author : John Marshall
Publisher : Academic Press
ISBN 13 : 0080954561
Total Pages : 344 pages
Book Rating : 4.61/5 ( download)

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Download or read book Atmosphere, Ocean and Climate Dynamics written by John Marshall and published by Academic Press. This book was released on 1978-11-16 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: For advanced undergraduate and beginning graduate students in atmospheric, oceanic, and climate science, Atmosphere, Ocean and Climate Dynamics is an introductory textbook on the circulations of the atmosphere and ocean and their interaction, with an emphasis on global scales. It will give students a good grasp of what the atmosphere and oceans look like on the large-scale and why they look that way. The role of the oceans in climate and paleoclimate is also discussed. The combination of observations, theory and accompanying illustrative laboratory experiments sets this text apart by making it accessible to students with no prior training in meteorology or oceanography. * Written at a mathematical level that is appealing for undergraduates and beginning graduate students * Provides a useful educational tool through a combination of observations and laboratory demonstrations which can be viewed over the web * Contains instructions on how to reproduce the simple but informative laboratory experiments * Includes copious problems (with sample answers) to help students learn the material.