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Large Scale Atmosphere Ocean Dynamics Analytical Methods And Numerical Models


Large Scale Atmosphere Ocean Dynamics Analytical Methods And Numerical Models
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Large Scale Atmosphere Ocean Dynamics Analytical Methods And Numerical Models


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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Large Scale Atmosphere Ocean Dynamics


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 Volume 1


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.



Handbook Of Geomathematics


Handbook Of Geomathematics
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Author : Willi Freeden
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-13

Handbook Of Geomathematics written by Willi Freeden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-13 with Mathematics categories.


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.



Numerical Techniques For Global Atmospheric Models


Numerical Techniques For Global Atmospheric Models
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Author : Peter H. Lauritzen
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-29

Numerical Techniques For Global Atmospheric Models written by Peter H. Lauritzen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-29 with Mathematics categories.


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.



Ocean Dynamics


Ocean Dynamics
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Author : Dirk Olbers
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-27

Ocean Dynamics written by Dirk Olbers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-27 with Science categories.


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



Nonlinear Processes In Geophysical Fluid Dynamics


Nonlinear Processes In Geophysical Fluid Dynamics
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Author : O.U. Velasco Fuentes
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27

Nonlinear Processes In Geophysical Fluid Dynamics written by O.U. Velasco Fuentes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-27 with Technology & Engineering categories.


A Tribute to the Scientific Work of Pedro Ripa



The Basis Of Atmospheric Mesoscale Dynamics And A Dynamical Method Of Predicting Rainstorms


The Basis Of Atmospheric Mesoscale Dynamics And A Dynamical Method Of Predicting Rainstorms
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Author : Shouting Gao
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2021-07-28

The Basis Of Atmospheric Mesoscale Dynamics And A Dynamical Method Of Predicting Rainstorms written by Shouting Gao and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-28 with Science categories.


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.



Geometric Mechanics And Symmetry


Geometric Mechanics And Symmetry
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Author : Darryl D. Holm
language : en
Publisher: Oxford University Press
Release Date : 2009-07-30

Geometric Mechanics And Symmetry written by Darryl D. Holm and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-30 with Mathematics categories.


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.



Data Assimilation For The Geosciences


Data Assimilation For The Geosciences
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Author : Steven J. Fletcher
language : en
Publisher: Elsevier
Release Date : 2022-11-16

Data Assimilation For The Geosciences written by Steven J. Fletcher and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-16 with Science categories.


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