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Large Scale Atmosphere Ocean Dynamics Analytical Methods And Numerical Models
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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 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 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 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 Nonlinear Processes in Geophysical Fluid Dynamics by : O.U. Velasco Fuentes
Download or read book Nonlinear Processes in Geophysical Fluid Dynamics written by O.U. Velasco Fuentes and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Tribute to the Scientific Work of Pedro Ripa
Book Synopsis Numerical Techniques for Global Atmospheric Models by : Peter H. Lauritzen
Download or read book Numerical Techniques for Global Atmospheric Models written by Peter H. Lauritzen and published by Springer Science & Business Media. This book was released on 2011-03-29 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys recent developments in numerical techniques for global atmospheric models. It is based upon a collection of lectures prepared by leading experts in the field. The chapters reveal the multitude of steps that determine the global atmospheric model design. They encompass the choice of the equation set, computational grids on the sphere, horizontal and vertical discretizations, time integration methods, filtering and diffusion mechanisms, conservation properties, tracer transport, and considerations for designing models for massively parallel computers. A reader interested in applied numerical methods but also the many facets of atmospheric modeling should find this book of particular relevance.
Download or read book Ocean Dynamics written by Dirk Olbers and published by Springer Science & Business Media. This book was released on 2012-04-27 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ocean Dynamics’ is a concise introduction to the fundamentals of fluid mechanics, non-equilibrium thermodynamics and the common approximations for geophysical fluid dynamics, presenting a comprehensive approach to large-scale ocean circulation theory. The book is written on the physical and mathematical level of graduate students in theoretical courses of physical oceanography, meteorology and environmental physics. An extensive bibliography and index, extensive side notes and recommendations for further reading, and a comparison with the specific atmospheric physics where applicable, makes this volume also a useful reading for researchers. Each of the four parts of the book – fundamental laws, common approximations, ocean waves, oceanic turbulence and eddies, and selected aspects of ocean dynamics – starts with elementary considerations, blending then classical topics with more advanced developments of fluid mechanics and theoretical oceanography. The last part covers the theory of the global wind-driven circulation in homogeneous and stratified regimes, the circulation and overturning in the Southern Ocean, and the global meridional overturning and thermohaline-driven circulation. Emphasis is placed on simple physical models rather than access to extensive numerical results, enabling students to understand and reproduce the complex theory mostly by analytical means. All equations and models are derived in detail and illustrated by numerous figures. The appendix provides short excursions into the mathematical background, such as vector analysis, statistics, and differential equations
Book Synopsis Data Assimilation for the Geosciences by : Steven J. Fletcher
Download or read book Data Assimilation for the Geosciences written by Steven J. Fletcher and published by Elsevier. This book was released on 2022-11-16 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data Assimilation for the Geosciences: From Theory to Application, Second Edition brings together all of the mathematical and statistical background knowledge needed to formulate data assimilation systems into one place. It includes practical exercises enabling readers to apply theory in both a theoretical formulation as well as teach them how to code the theory with toy problems to verify their understanding. It also demonstrates how data assimilation systems are implemented in larger scale fluid dynamical problems related to land surface, the atmosphere, ocean and other geophysical situations. The second edition of Data Assimilation for the Geosciences has been revised with up to date research that is going on in data assimilation, as well as how to apply the techniques. The new edition features an introduction of how machine learning and artificial intelligence are interfacing and aiding data assimilation. In addition to appealing to students and researchers across the geosciences, this now also appeals to new students and scientists in the field of data assimilation as it will now have even more information on the techniques, research, and applications, consolidated into one source. Includes practical exercises and solutions enabling readers to apply theory in both a theoretical formulation as well as enabling them to code theory Provides the mathematical and statistical background knowledge needed to formulate data assimilation systems into one place New to this edition: covers new topics such as Observing System Experiments (OSE) and Observing System Simulation Experiments; and expanded approaches for machine learning and artificial intelligence
Book Synopsis Invisible in the Storm by : Ian Roulstone
Download or read book Invisible in the Storm written by Ian Roulstone and published by Princeton University Press. This book was released on 2013-02-21 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible book that examines the mathematics of weather prediction Invisible in the Storm is the first book to recount the history, personalities, and ideas behind one of the greatest scientific successes of modern times—the use of mathematics in weather prediction. Although humans have tried to forecast weather for millennia, mathematical principles were used in meteorology only after the turn of the twentieth century. From the first proposal for using mathematics to predict weather, to the supercomputers that now process meteorological information gathered from satellites and weather stations, Ian Roulstone and John Norbury narrate the groundbreaking evolution of modern forecasting. The authors begin with Vilhelm Bjerknes, a Norwegian physicist and meteorologist who in 1904 came up with a method now known as numerical weather prediction. Although his proposed calculations could not be implemented without computers, his early attempts, along with those of Lewis Fry Richardson, marked a turning point in atmospheric science. Roulstone and Norbury describe the discovery of chaos theory's butterfly effect, in which tiny variations in initial conditions produce large variations in the long-term behavior of a system—dashing the hopes of perfect predictability for weather patterns. They explore how weather forecasters today formulate their ideas through state-of-the-art mathematics, taking into account limitations to predictability. Millions of variables—known, unknown, and approximate—as well as billions of calculations, are involved in every forecast, producing informative and fascinating modern computer simulations of the Earth system. Accessible and timely, Invisible in the Storm explains the crucial role of mathematics in understanding the ever-changing weather. Some images inside the book are unavailable due to digital copyright restrictions.
Book Synopsis Handbook of Geomathematics by : Willi Freeden
Download or read book Handbook of Geomathematics written by Willi Freeden and published by Springer Science & Business Media. This book was released on 2010-08-13 with total page 1371 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as spaceborne data of better and better quality explain the strong need of new mathematical structures, tools, and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook Geomathematics’ as a central reference work in this area comprises the following scientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic, and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.
Book Synopsis The Basis of Atmospheric Mesoscale Dynamics and a Dynamical Method of Predicting Rainstorms by : Shouting Gao
Download or read book The Basis of Atmospheric Mesoscale Dynamics and a Dynamical Method of Predicting Rainstorms written by Shouting Gao and published by Cambridge Scholars Publishing. This book was released on 2021-07-28 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves to deepen the theoretical understanding of mesoscale dynamics and makes its basic concepts clear, reflecting new research results. It emphasizes important theories that have not been given enough attention in recent years, such as generalized potential temperature and the moist potential vorticity theory of non-uniform saturated moist atmospheres. By integrating theory with practice, the book also introduces the forecast method of rainstorms and other disastrous weathers using dynamic factors. This book can be used as a point of reference for operational forecasters, researchers and graduate and undergraduate students whose research interests are atmospheric sciences, and ocean and water sciences. It will also be of interest to scholars who study geological disasters, such as multiphase flow, mountains, debris flows and landslides, as well as geological seismologists.
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 Encyclopedia of Atmospheric Sciences by : Gerald R. North
Download or read book Encyclopedia of Atmospheric Sciences written by Gerald R. North and published by Elsevier. This book was released on 2014-09-14 with total page 2874 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encyclopedia of Atmospheric Sciences, Second Edition, Six Volume Set is an authoritative resource covering all aspects of atmospheric sciences, including both theory and applications. With more than 320 articles and 1,600 figures and photographs, this revised version of the award-winning first edition offers comprehensive coverage of this important field. The six volumes in this set contain broad-ranging articles on topics such as atmospheric chemistry, biogeochemical cycles, boundary layers, clouds, general circulation, global change, mesoscale meteorology, ozone, radar, satellite remote sensing, and weather prediction. The Encyclopedia is an ideal resource for academia, government, and industry in the fields of atmospheric, ocean, and environmental sciences. It is written at a level that allows undergraduate students to understand the material, while providing active researchers with the latest information in the field. Covers all aspects of atmospheric sciences—including both theory and applications Presents more than 320 articles and more than 1,600 figures and photographs Broad-ranging articles include topics such as atmospheric chemistry, biogeochemical cycles, boundary layers, clouds, general circulation, global change, mesoscale meteorology, ozone, radar, satellite remote sensing, and weather prediction An ideal resource for academia, government, and industry in the fields of atmospheric, ocean, and environmental sciences
Book Synopsis Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere by : Yuri N. Skiba
Download or read book Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere written by Yuri N. Skiba and published by Springer. This book was released on 2017-09-21 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected mathematical problems involving the dynamics of a two-dimensional viscous and ideal incompressible fluid on a rotating sphere. In this case, the fluid motion is completely governed by the barotropic vorticity equation (BVE), and the viscosity term in the vorticity equation is taken in its general form, which contains the derivative of real degree of the spherical Laplace operator. This work builds a bridge between basic concepts and concrete outcomes by pursuing a rich combination of theoretical, analytical and numerical approaches, and is recommended for specialists developing mathematical methods for application to problems in physics, hydrodynamics, meteorology and geophysics, as well for upper undergraduate or graduate students in the areas of dynamics of incompressible fluid on a rotating sphere, theory of functions on a sphere, and flow stability.
Book Synopsis Geometric Mechanics and Symmetry by : Darryl D. Holm
Download or read book Geometric Mechanics and Symmetry written by Darryl D. Holm and published by Oxford University Press. This book was released on 2009-07-30 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate level text based partly on lectures in geometry, mechanics, and symmetry given at Imperial College London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the subject.
Book Synopsis Geometric Mechanics: Dynamics and symmetry by : Darryl D. Holm
Download or read book Geometric Mechanics: Dynamics and symmetry written by Darryl D. Holm and published by Imperial College Press. This book was released on 2008-01-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced undergraduate and graduate students in mathematics, physics and engineering.
