Large Scale Atmosphere Ocean Dynamics
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Large Scale Atmosphere Ocean Dynamics
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Author : John Norbury
language : en
Publisher: Cambridge University Press
Release Date : 2002-08-15
Large Scale Atmosphere Ocean Dynamics written by John Norbury and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-15 with Mathematics categories.
Numerical weather prediction is a problem of mathematical physics. 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 and that describe, for example, the dynamics of cyclones and ocean eddies. The simplifications often result in models that are amenable to solution both analytically and numerically. The lectures in this volume, first published in 2002, examine and 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, such as groups of transformations, Hamiltonian structure and stability. This book and its companion show how geometry and analysis facilitate solution strategies.
Large Scale Atmosphere Ocean Dynamics Analytical Methods And Numerical Models
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Author : John Norbury
language : en
Publisher: Cambridge University Press
Release Date : 2002
Large Scale Atmosphere Ocean Dynamics Analytical Methods And Numerical Models written by John Norbury and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Dynamic climatology categories.
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A Mathematical Theory Of Large Scale Atmosphere Ocean Flow
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Author : Michael J. P. Cullen
language : en
Publisher: Imperial College Press
Release Date : 2006
A Mathematical Theory Of Large Scale Atmosphere Ocean Flow written by Michael J. P. Cullen and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
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."
Large Scale Atmosphere Ocean Dynamics Volume 1
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Author : John Norbury
language : en
Publisher: Cambridge University Press
Release Date : 2002-08-15
Large Scale Atmosphere Ocean Dynamics Volume 1 written by John Norbury and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-15 with Mathematics categories.
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.
Large Scale Atmosphere Ocean Dynamics Volume 1
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Author : John Norbury
language : en
Publisher: Cambridge University Press
Release Date : 2010-02-04
Large Scale Atmosphere Ocean Dynamics Volume 1 written by John Norbury and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-04 with Mathematics categories.
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.
Atmospheric And Oceanic Fluid Dynamics
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Author : Geoffrey K. Vallis
language : en
Publisher: Cambridge University Press
Release Date : 2006-11-06
Atmospheric And Oceanic Fluid Dynamics written by Geoffrey K. Vallis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-06 with Science categories.
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.
Atmosphere Ocean Dynamics 2e Vol2
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Author : Rhines
language : en
Publisher:
Release Date : 2006-04-01
Atmosphere Ocean Dynamics 2e Vol2 written by Rhines and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-01 with categories.
Curricula In The Atmospheric Oceanic Hydrologic And Related Sciences
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Author :
language : en
Publisher:
Release Date : 1998
Curricula In The Atmospheric Oceanic Hydrologic And Related Sciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Geophysics categories.
Atmosphere Ocean Dynamics
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Author : Adrian E. Gill
language : en
Publisher: Academic Press
Release Date : 1982-12-12
Atmosphere Ocean Dynamics written by Adrian E. Gill and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-12-12 with Science categories.
A systematic, unifying approach to the dynamics of the ocean and atmosphere is given in this book, with emphasis on the larger-scale motions (from a few kilometers to global scale). The foundations of the subject (the equations of state and dynamical equations) are covered in some detail, so that students with training in mathematics should find it a self-contained text. Knowledge of fluid mechanics is helpful but not essential. Simple mathematical models are used to demonstrate the fundamental dynamical principles with plentiful illustrations from field and laboratory.
Essentials Of Atmospheric And Oceanic Dynamics
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Author : Geoffrey K. Vallis
language : en
Publisher: Cambridge University Press
Release Date : 2019-01-24
Essentials Of Atmospheric And Oceanic Dynamics written by Geoffrey K. Vallis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-24 with Science categories.
A concise introduction to atmosphere-ocean dynamics at the intermediate-advanced undergraduate level, taking the reader from basic dynamics to cutting-edge topics.