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The Mathematics Of Large Scale Atmosphere And Ocean
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Book Synopsis The Mathematics Of Large-scale Atmosphere And Ocean by : Michael John Priestley Cullen
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)
Book Synopsis A Mathematical Theory of Large-scale Atmosphere/ocean Flow by : Michael J. P. Cullen
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."
Book Synopsis The Mathematics of Large-scale Atmosphere and Ocean by : Michael J. P. Cullen
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:
Book Synopsis Large-Scale Atmosphere-Ocean Dynamics by : John Norbury
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
Book Synopsis Large-Scale Atmosphere-Ocean Dynamics: Volume 1 by : John Norbury
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 2002-08-15 with total page 402 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.
Book Synopsis Large-scale Atmosphere-ocean Dynamics: Analytical methods and numerical models by : John Norbury
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
Book Synopsis Atmospheric and Oceanic Fluid Dynamics by : Geoffrey K. Vallis
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.
Book Synopsis Atmosphere—Ocean Dynamics by : Adrian E. Gill
Download or read book Atmosphere—Ocean Dynamics written by Adrian E. Gill and published by Elsevier. This book was released on 2016-06-03 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: Atmosphere-Ocean Dynamics deals with a systematic and unified approach to the dynamics of the ocean and atmosphere. The book reviews the relationship of the ocean-atmosphere and how this system functions. The text explains this system through radiative equilibrium models; the book also considers the greenhouse effect, the effects of convection and of horizontal gradients, and the variability in radiative driving of the earth. Equations in the book show the properties of a material element, mass conservation, the balance of scalar quantity (such as salinity), and the mathematical behavior of the ocean and atmosphere. The book also addresses how the ocean-atmosphere system tends to adjust to equilibrium, both in the absence and presence of driving forces such as gravity. The text also explains the effect of the earth's rotation on the system, as well as the application of forced motions such as that produced by wind or temperature changes. The book explains tropical dynamics and the effects of variation of the Coriolis parameter with latitude. The text will be appreciated by meteorologists, environmentalists, students studying hydrology, and people working in general earth sciences.
Book Synopsis Large-Scale Atmosphere-Ocean Dynamics: Volume 1 by : John Norbury
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.
Book Synopsis Essentials of Atmospheric and Oceanic Dynamics by : Geoffrey K. Vallis
Download or read book Essentials of Atmospheric and Oceanic Dynamics written by Geoffrey K. Vallis and published by Cambridge University Press. This book was released on 2019-01-24 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a modern, introductory textbook on the dynamics of the atmosphere and ocean, with a healthy dose of geophysical fluid dynamics. It will be invaluable for intermediate to advanced undergraduate and graduate students in meteorology, oceanography, mathematics, and physics. It is unique in taking the reader from very basic concepts to the forefront of research. It also forms an excellent refresher for researchers in atmospheric science and oceanography. It differs from other books at this level in both style and content: as well as very basic material it includes some elementary introductions to more advanced topics. The advanced sections can easily be omitted for a more introductory course, as they are clearly marked in the text. Readers who wish to explore these topics in more detail can refer to this book's parent, Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circulation, now in its second edition.
Book Synopsis Atmosphere-Ocean Dynamics by : Adrian E. Gill
Download or read book Atmosphere-Ocean Dynamics written by Adrian E. Gill and published by Academic Press. This book was released on 1982-12-12 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Atmosphere, Ocean and Climate Dynamics by : John Marshall
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 345 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.
Book Synopsis Introduction to PDEs and Waves for the Atmosphere and Ocean by : Andrew Majda
Download or read book Introduction to PDEs and Waves for the Atmosphere and Ocean written by Andrew Majda and published by American Mathematical Soc.. This book was released on 2003 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a leading specialist in the area of atmosphere/ocean science (AOS), the book presents an excellent introduction to this important topic. The goals of these lecture notes, based on courses presented by the author at the Courant Institute of Mathematical Sciences, are to introduce mathematicians to the fascinating and important area of atmosphere/ocean science (AOS) and, conversely, to develop a mathematical viewpoint on basic topics in AOS of interest to the disciplinary AOS community, ranging from graduate students to researchers. The lecture notes emphasize the serendipitous connections between applied mathematics and geophysical flows in the style of modern applied mathematics, where rigorous mathematical analysis as well as asymptotic, qualitative, and numerical modeling all interact to ease the understanding of physical phenomena. Reading these lecture notes does not require a previous course in fluid dynamics, although a serious reader should supplement these notes with material such The book is intended for graduate students and researchers working in interdisciplinary areas between mathematics and AOS. It is excellent for supplementary course reading or independent study.
Book Synopsis Essentials of Atmospheric and Oceanic Dynamics by : Geoffrey K. Vallis
Download or read book Essentials of Atmospheric and Oceanic Dynamics written by Geoffrey K. Vallis and published by Cambridge University Press. This book was released on 2019-01-24 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise introduction to atmosphere-ocean dynamics at the intermediate-advanced undergraduate level, taking the reader from basic dynamics to cutting-edge topics.
Book Synopsis Energy Transfers in Atmosphere and Ocean by : Carsten Eden
Download or read book Energy Transfers in Atmosphere and Ocean written by Carsten Eden and published by Springer. This book was released on 2019-01-23 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a recent effort combining interdisciplinary expertise within the Collaborative Research Centre “Energy transfers in atmosphere and ocean” (TRR-181), which was funded by the German Research Foundation (DFG). Energy transfers between the three dynamical regimes – small-scale turbulence, internal gravity waves and geostrophically balanced motion – are fundamental to the energy cycle of both the atmosphere and the ocean. Nonetheless, they remain poorly understood and quantified, and have yet to be adequately represented in today’s climate models. Since interactions between the dynamical regimes ultimately link the smallest scales to the largest ones through a range of complex processes, understanding these interactions is essential to constructing atmosphere and ocean models and to predicting the future climate. To this end, TRR 181 combines expertise in applied mathematics, meteorology, and physical oceanography. This book provides an overview of representative specific topics addressed by TRR 181, ranging from - a review of a coherent hierarchy of models using consistent scaling and approximations, and revealing the underlying Hamiltonian structure - a systematic derivation and implementation of stochastic and backscatter parameterisations - an exploration of the dissipation of large-scale mean or eddying balanced flow and ocean eddy parameterisations; and - a study on gravity wave breaking and mixing, the interaction of waves with the mean flow and stratification, wave-wave interactions and gravity wave parameterisations to topics of a more numerical nature such as the spurious mixing and dissipation of advection schemes, and direct numerical simulations of surface waves at the air-sea interface. In TRR 181, the process-oriented topics presented here are complemented by an operationally oriented synthesis focusing on two climate models currently being developed in Germany. In this way, the goal of TRR 181 is to help reduce the biases in and increase the accuracy of atmosphere and ocean models, and ultimately to improve climate models and climate predictions.
Book Synopsis Dynamical Oceanography by : Henk A. Dijkstra
Download or read book Dynamical Oceanography written by Henk A. Dijkstra and published by Springer Science & Business Media. This book was released on 2008-10-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a mathematical introduction to the theory of large-scale ocean circulation. It is accessible for readers with an elementary knowledge of mathematics and physics, including continuum mechanics and solution methods for ordinary differential equations. At the end of each chapter several exercises are formulated. Many of these are aimed to further develop methodological skills and to get familiar with the physical concepts. New material is introduced in only a few of these exercises. Fully worked out answers to all exercises can be downloaded from the book’s web site.
Book Synopsis Atmosphere-ocean Modeling by : Carlos R. Mechoso
Download or read book Atmosphere-ocean Modeling written by Carlos R. Mechoso and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Coupled atmosphere-ocean models are at the core of numerical climate models. There is an extraordinarily broad class of coupled atmosphere-ocean models ranging from sets of equations that can be solved analytically to highly detailed representations of Nature requiring the most advanced computers for execution. The models are applied to subjects including the conceptual understanding of Earth's climate, predictions that support human activities in a variable climate, and projections aimed to prepare society for climate change. The present book fills a void in the current literature by presenting a basic and yet rigorous treatment of how the models of the atmosphere and the ocean are put together into a coupled system. The text of the book is divided into chapters organized according to complexity of the components that are coupled. Two full chapters are dedicated to current efforts on the development of generalist couplers and coupling methodologies all over the world"--
