the equations of oceanic motions

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The Equations Of Oceanic Motions

Author : Peter Müller
ISBN : 9781139458368
Genre : Science
File Size : 88. 60 MB
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Modeling and prediction of oceanographic phenomena and climate is based on the integration of dynamic equations. The Equations of Oceanic Motions derives and systematically classifies the most common dynamic equations used in physical oceanography, from large-scale thermohaline circulations to those governing small scale motions and turbulence. After establishing the basic dynamical equations that describe all oceanic motions, Müller then derives approximate equations, emphasizing the assumptions made and physical processes eliminated. He distinguishes between geometric, thermodynamic and dynamic approximations and between the acoustic, gravity, vortical and temperature-salinity modes of motion. Basic concepts and formulae of equilibrium thermodynamics, vector and tensor calculus, curvilinear coordinate systems, and the kinematics of fluid motion and wave propagation are covered in appendices. Providing the basic theoretical background for graduate students and researchers of physical oceanography and climate science, this book will serve as both a comprehensive text and an essential reference.

Atmosphere Ocean Dynamics

Author : Adrian E. Gill
ISBN : 9781483281582
Genre : Science
File Size : 71. 21 MB
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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.

Atmospheric And Oceanic Fluid Dynamics

Author : Geoffrey K. Vallis
ISBN : 9781107065505
Genre : Science
File Size : 75. 7 MB
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The atmosphere and ocean are two of the most important components of the climate system, and fluid dynamics is central to our understanding of both. This book provides a unified and comprehensive treatment of the field that blends classical results with modern interpretations. It takes the reader seamlessly from the basics to the frontiers of knowledge, from the equations of motion to modern theories of the general circulation of the atmosphere and ocean. These concepts are illustrated throughout the book with observations and numerical examples. As well as updating existing chapters, this full-color second edition includes new chapters on tropical dynamics, El Nio, the stratosphere and gravity waves. Supplementary resources are provided online, including figures from the book and problem sets, making this new edition an ideal resource for students in the atmospheric, oceanic and climate sciences, as well as in applied mathematics and engineering.

Numerical Ocean Circulation Modeling

Author : Dale B Haidvogel
ISBN : 9781848168244
Genre : Science
File Size : 40. 73 MB
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This book offers a comprehensive overview of the models and methods employed in the rapidly advancing field of numerical ocean circulation modeling. For those new to the field, concise reviews of the equations of oceanic motion, sub-grid-scale parameterization, and numerical approximation techniques are presented and four specific numerical models, chosen to span the range of current practice, are described in detail. For more advanced users, a suite of model test problems is developed to illustrate the differences among models, and to serve as a first stage in the quantitative evaluation of future algorithms. The extensive list of references makes this book a valuable text for both graduate students and postdoctoral researchers in the marine sciences and in related fields such as meteorology, and climate and coupled biogeochemical modeling. Contents: The Continuous EquationsThe 1D Heat and Wave EquationsConsiderations in Two DimensionsThree-Dimensional Ocean ModelsSubgridscale ParameterizationProcess-Oriented Test ProblemsSimulation of the North AtlanticThe Final Frontier Readership: Oceanographers and geoscientists. Keywords:Modelling;Oceanography;2-Dimension Ocean Models;3-Dimension Ocean Models;Ocean Circulation;North Atlantic Ocean;Hydro Static Equations;Algorithms

Numerical Ocean Circulation Modeling

Author : Dale B Haidvogel
ISBN : 9781848168244
Genre : Science
File Size : 70. 36 MB
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This book offers a comprehensive overview of the models and methods employed in the rapidly advancing field of numerical ocean circulation modeling. For those new to the field, concise reviews of the equations of oceanic motion, sub-grid-scale parameterization, and numerical approximation techniques are presented and four specific numerical models, chosen to span the range of current practice, are described in detail. For more advanced users, a suite of model test problems is developed to illustrate the differences among models, and to serve as a first stage in the quantitative evaluation of future algorithms. The extensive list of references makes this book a valuable text for both graduate students and postdoctoral researchers in the marine sciences and in related fields such as meteorology, and climate and coupled biogeochemical modeling. Contents: The Continuous EquationsThe 1D Heat and Wave EquationsConsiderations in Two DimensionsThree-Dimensional Ocean ModelsSubgridscale ParameterizationProcess-Oriented Test ProblemsSimulation of the North AtlanticThe Final Frontier Readership: Oceanographers and geoscientists. Keywords:Modelling;Oceanography;2-Dimension Ocean Models;3-Dimension Ocean Models;Ocean Circulation;North Atlantic Ocean;Hydro Static Equations;Algorithms

Introduction To Pdes And Waves For The Atmosphere And Ocean

Author : Andrew Majda
ISBN : 0821883496
Genre : Mathematics
File Size : 76. 86 MB
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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.

Ocean Dynamics

Author : Dirk Olbers
ISBN : 9783642234507
Genre : Science
File Size : 25. 81 MB
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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

Numerical Models Of Ocean Circulation

Author :
ISBN : NAP:00227
Genre : Ocean circulation
File Size : 89. 11 MB
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The Ocean In Motion

Author : Manuel G. Velarde
ISBN : 9783319719344
Genre : Science
File Size : 76. 72 MB
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This book commemorates the 70th birthday of Eugene Morozov, the noted Russian observational oceanographer. It contains many contributions reflecting his fields of interest, including but not limited to tidal internal waves, ocean circulation, deep ocean currents, and Arctic oceanography. Special attention is paid to studies on internal waves and especially those on tidal internal waves in the Global Ocean. These papers describe the most important open problems concerning experimental studies of internal waves and their theoretical, numerical, and laboratory modeling. Further contributions investigate the physics of surface waves and their interaction with internal waves. Here, the focus is on describing interaction processes between internal waves and deep currents in the ocean, especially currents of Antarctic Bottom Water in abyssal fractures. They also touch on the problem of oceanic circulation and related processes in fjords, including those occurring under sea ice. Given its breadth of coverage, the book will appeal to anyone interested in a survey of ocean dynamics, ranging from historic perspectives to modern research topics.

Infinite Dimensional Dynamical Systems In Atmospheric And Oceanic Science

Author : Boling Guo
ISBN : 9789814590396
Genre : Mathematics
File Size : 46. 19 MB
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The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the atmosphere and the oceans. One of the important contents in the dynamics is to study the infinite-dimensional dynamical systems of the atmospheric and oceanic dynamics. The results in the study of some partial differential equations of geophysical fluid dynamics and their corresponding infinite-dimensional dynamical systems are also given. Contents:Nonlinear Equations of the Atmospheric and the Oceanic MotionsSome Quasi-Geostrophic ModelsWell-Posedness and Global Attractors of the Primitive EquationsRandom Dynamical Systems of Atmosphere and OceanStability and Instability Theory Readership: Graduate and postgraduate students in Mathematics; Mathematicians and Physicists majoring in atmospheric and oceanic dynamics. Key Features:The book is a new edition that studies the infinite-dimensional dynamical systems in atmospheric and oceanic scienceThe authors are experts in this fieldKeywords:Atmospheric Dynamics;Oceanic Dynamics;Primitive Equations;Quasi-Geostrophic Equations;Stochastic Partial Differential Equations;Infinite-Dimensional Dynamical Systems;Stability Theory

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