the equations of oceanic motions

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The Equations Of Oceanic Motions

Author : Peter Müller
ISBN : 9781139458368
Genre : Science
File Size : 67. 44 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.

Numerical Ocean Circulation Modeling

Author : Dale B Haidvogel
ISBN : 9781848168244
Genre : Science
File Size : 51. 42 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

Ocean Dynamics

Author : Dirk Olbers
ISBN : 9783642234507
Genre : Science
File Size : 84. 2 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

Introduction To Pdes And Waves For The Atmosphere And Ocean

Author : Andrew Majda
ISBN : 0821883496
Genre : Mathematics
File Size : 89. 40 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.

Numerical Models Of Ocean Circulation

Author :
ISBN : NAP:00227
Genre : Ocean circulation
File Size : 20. 68 MB
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Atmospheric And Oceanic Fluid Dynamics

Author : Geoffrey K. Vallis
ISBN : 9781139459969
Genre : Science
File Size : 28. 25 MB
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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

Infinite Dimensional Dynamical Systems In Atmospheric And Oceanic Science

Author : Boling Guo
ISBN : 9789814590396
Genre : Mathematics
File Size : 71. 6 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

Numerical Modeling Of Ocean Dynamics

Author : Zygmunt Kowalik
ISBN : 9810213336
Genre : Science
File Size : 66. 39 MB
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While there are several excellent books dealing with numerical analysis and analytical theory, one has to practically sift through hundreds of references. This monograph is an attempt to partly rectify this situation. It aims to introduce the application of finite-difference methods to ocean dynamics as well as review other complex methods. Systematically presented, the monograph first gives a detailed account of the basics and then go on to discuss the various applications. Recognising the impossibility of covering the entire field of ocean dynamics, the writers have chosen to focus on transport equations (diffusion and advection), shallow water phenomena ? tides, storm surges and tsunamis, three-dimensional time dependent oceanic motion, natural oscillations, and steady state phenomena. The many aspects covered by this book makes it an indispensable handbook and reference source to both professionals and students of this field.

Nonlinear Topics In Ocean Physics

Author : A.R. Osborne
ISBN : 9780444597823
Genre : Science
File Size : 44. 46 MB
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The main fields presented at this school were mesoscale and large scale flows, and nonlinear wave dynamics. The resulting proceedings present the latest developments in these fields.

The Theory Of Large Scale Ocean Circulation

Author : R. M. Samelson
ISBN : 9781139499002
Genre : Science
File Size : 46. 90 MB
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Mounting evidence that human activities are substantially modifying the Earth's climate brings a new imperative to the study of the ocean's large-scale circulation. This textbook provides a concise but comprehensive introduction to the theory of large-scale ocean circulation, as it is currently understood and established. Students and instructors will benefit from the carefully chosen chapter-by-chapter exercises. This advanced textbook is invaluable for graduate students and researchers in the fields of oceanic, atmospheric and climate sciences and other geophysical scientists, as well as physicists and mathematicians with a quantitative interest in the planetary fluid environment.

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