Variational Formulation Of Fluid And Geophysical Fluid Dynamics

Author : Gualtiero Badin,Fulvio Crisciani
Publisher : Springer
Page : 218 pages
File Size : 50,5 Mb
Release : 2017-08-29
Category : Science
ISBN : 9783319596952

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Variational Formulation of Fluid and Geophysical Fluid Dynamics by Gualtiero Badin,Fulvio Crisciani Pdf

This book describes the derivation of the equations of motion of fluids as well as the dynamics of ocean and atmospheric currents on both large and small scales through the use of variational methods. In this way the equations of Fluid and Geophysical Fluid Dynamics are re-derived making use of a unifying principle, that is Hamilton’s Principle of Least Action. The equations are analyzed within the framework of Lagrangian and Hamiltonian mechanics for continuous systems. The analysis of the equations’ symmetries and the resulting conservation laws, from Noether’s Theorem, represent the core of the description. Central to this work is the analysis of particle relabeling symmetry, which is unique for fluid dynamics and results in the conservation of potential vorticity. Different special approximations and relations, ranging from the semi-geostrophic approximation to the conservation of wave activity, are derived and analyzed. Thanks to a complete derivation of all relationships, this book is accessible for students at both undergraduate and graduate levels, as well for researchers. Students of theoretical physics and applied mathematics will recognize the existence of theoretical challenges behind the applied field of Geophysical Fluid Dynamics, while students of applied physics, meteorology and oceanography will be able to find and appreciate the fundamental relationships behind equations in this field.

Author : Gualtiero Badin,Crisciani Fulvio
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 2018
Category : Fluid dynamics
ISBN : 3319596969

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Variational Formulation of Fluid and Geophysical Fluid Dynamics by Gualtiero Badin,Crisciani Fulvio Pdf

Author : Rick Salmon
Publisher : Oxford University Press
Page : 393 pages
File Size : 40,9 Mb
Release : 1998-02-26
Category : Science
ISBN : 9780195355321

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Lectures on Geophysical Fluid Dynamics by Rick Salmon Pdf

Lectures on Geophysical Fluid Dynamics offers an introduction to several topics in geophysical fluid dynamics, including the theory of large-scale ocean circulation, geostrophic turbulence, and Hamiltonian fluid dynamics. Since each chapter is a self-contained introduction to its particular topic, the book will be useful to students and researchers in diverse scientific fields.

Author : James C. McWilliams
Publisher : Cambridge University Press
Page : 273 pages
File Size : 41,6 Mb
Release : 2006-07-20
Category : Science
ISBN : 9780521856379

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Fundamentals of Geophysical Fluid Dynamics by James C. McWilliams Pdf

Intermediate/advanced textbook which provides concise and accessible introduction to GFD for broad range of students.

Author : J. Pedlosky
Publisher : Springer Science & Business Media
Page : 636 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468400717

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Geophysical Fluid Dynamics by J. Pedlosky Pdf

The content of this book is based, largely, on the core curriculum in geophys ical fluid dynamics which I and my colleagues in the Department of Geophysical Sciences at The University of Chicago have taught for the past decade. Our purpose in developing a core curriculum was to provide to advanced undergraduates and entering graduate students a coherent and systematic introduction to the theory of geophysical fluid dynamics. The curriculum and the outline of this book were devised to form a sequence of courses of roughly one and a half academic years (five academic quarters) in length. The goal of the sequence is to help the student rapidly advance to the point where independent study and research are practical expectations. It quickly became apparent that several topics (e. g. , some aspects of potential theory) usually thought of as forming the foundations of a fluid-dynamics curriculum were merely classical rather than essential and could be, however sadly, dispensed with for our purposes. At the same time, the diversity of interests of our students is so great that no curriculum can truly be exhaust ive in such a curriculum period. It seems to me that the best that can be achieved as a compromise is a systematic introduction to some important segment of the total scope of geophysical fluid dynamics which is illustrative of its most fruitful methods.

Author : Emin Özsoy
Publisher : Springer Nature
Page : 296 pages
File Size : 46,5 Mb
Release : 2020-01-16
Category : Science
ISBN : 9783030169732

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Geophysical Fluid Dynamics I by Emin Özsoy Pdf

This textbook develops a fundamental understanding of geophysical fluid dynamics by providing a mathematical description of fluid properties, kinematics and dynamics as influenced by earth’s rotation. Its didactic value is based on elaborate treatment of basic principles, derived equations, exemplary solutions and their interpretation. Both starting graduate students and experienced scientists can closely follow the mathematical development of the basic theory applied to the flow of uniform density fluids on a rotating earth, with (1) basic physics introducing the "novel" effects of rotation for flows on planetary scales, (2) simplified dynamics of shallow water and quasi-geostrophic theories applied to a variety of steady, unsteady flows and geophysical wave motions, demonstrating the restoring effects of Coriolis acceleration, earth’s curvature (beta) and topographic steering, (3) conservation of vorticity and energy at geophysical scales, and (4) specific applications to help demonstrate the ability to create and solve new problems in this very rich field. A comprehensive review of the complex geophysical flows of the ocean and the atmosphere is closely knitted with this basic description, intended to be developed further in the second volume that addresses density stratified geophysical fluid dynamics.

Author : Emin Özsoy
Publisher : Springer Nature
Page : 332 pages
File Size : 40,8 Mb
Release : 2021-08-13
Category : Science
ISBN : 9783030749347

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Geophysical Fluid Dynamics II by Emin Özsoy Pdf

This book develops a fundamental understanding of geophysical fluid dynamics based on a mathematical description of the flows of inhomogeneous fluids. It covers these topics: 1. development of the equations of motion for an inhomogeneous fluid 2. review of thermodynamics 3. thermodynamic and kinetic energy equations 4. equations of state for the atmosphere and the ocean, salt, and moisture effects 5. concepts of potential temperature and potential density 6. Boussinesq and quasi-geostrophic approximations 7. conservation equations for vorticity, mechanical and thermal energy instability theories, internal waves, mixing, convection, double-diffusion, stratified turbulence, fronts, intrusions, gravity currents Graduate students will be able to learn and apply the basic theory of geophysical fluid dynamics of inhomogeneous fluids on a rotating earth, including: 1. derivation of the governing equations for a stratified fluid starting from basic principles of physics 2. review of thermodynamics, equations of state, isothermal, adiabatic, isentropic changes 3. scaling of the equations, Boussinesq approximation, applied to the ocean and the atmosphere 4. examples of stratified flows at geophysical scales, steady and unsteady motions, inertia-gravity internal waves, quasi-geostrophic theory 5. vorticity and energy conservation in stratified fluids 6.boundary layer convection in stratified containers and basins

Author : Dale R. Durran
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 53,6 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475730814

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Numerical Methods for Wave Equations in Geophysical Fluid Dynamics by Dale R. Durran Pdf

Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.

Author : Joseph Pedlosky
Publisher : Springer Science & Business Media
Page : 723 pages
File Size : 54,9 Mb
Release : 2013-12-01
Category : Science
ISBN : 9781461246503

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Geophysical Fluid Dynamics by Joseph Pedlosky Pdf

This second edition of the widely acclaimed Geophysical Fluid Dynamics by Joseph Pedlosky offers the reader a high-level, unified treatment of the theory of the dynamics of large-scale motions of the oceans and atmosphere. Revised and updated, it includes expanded discussions of * the fundamentals of geostrophic turbulence * the theory of wave-mean flow interaction * thermocline theory * finite amplitude barocline instability.

Author : Dale R. Durran
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 55,9 Mb
Release : 2010-09-14
Category : Mathematics
ISBN : 9781441964120

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Numerical Methods for Fluid Dynamics by Dale R. Durran Pdf

This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean

Author : Monin
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400918801

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Theoretical Geophysical Fluid Dynamics by Monin Pdf

This book grew out of lectures on geophysical fluid dynamics delivered over many years at the Moscow Institute of Physics and Technology by the author (and, with regard to some parts of the book, by his colleagues). During these lectures the students were advised to read many books, and sometimes individual articles, in order to acquaint themselves with the necessary material, since there was no single book available which provided a sufficiently complete and systematic account (except, perhaps, the volumes on Hydrophysics of the Ocean, Hydrodynamics of the Ocean, and Geodynamics in the ten-volume Oceanology series published by Nauka Press in 1978-1979; these refer, however, specifically to the ocean, and anyway they are much too massive to be convenient for study by students). As far as we know, no text corresponding to our understanding of geophysical fluid dynamics has as yet been published outside the Soviet Union. The present book is designed to fill this gap. Since it is customary to write the preface after the entire book has been completed, the author has an opportunity there to raise some points of possible criticism by the reviewers and readers. First of all, note that this work presents the theoretical fundamentals of geophysical fluid dynamics, and that observational and experimental data (which in the natural sciences are always very copious) are referred to only rarely and briefly.

Author : Anonim
Publisher : Elsevier
Page : 271 pages
File Size : 50,8 Mb
Release : 1980-01-01
Category : Mathematics
ISBN : 0080871526

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An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics by Anonim Pdf

An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics

Author : Benoit Cushman-Roisin,Jean-Marie Beckers
Publisher : Academic Press
Page : 851 pages
File Size : 52,7 Mb
Release : 2011-08-26
Category : Science
ISBN : 9780120887590

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Introduction to Geophysical Fluid Dynamics by Benoit Cushman-Roisin,Jean-Marie Beckers Pdf

Introduction to Geophysical Fluid Dynamics provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales. Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply. It explores contemporary topics of climate dynamics and equatorial dynamics, including the Greenhouse Effect, global warming, and the El Nino Southern Oscillation. Combines both physical and numerical aspects of geophysical fluid dynamics into a single affordable volume Explores contemporary topics such as the Greenhouse Effect, global warming and the El Nino Southern Oscillation Biographical and historical notes at the ends of chapters trace the intellectual development of the field Recipient of the 2010 Wernaers Prize, awarded each year by the National Fund for Scientific Research of Belgium (FNR-FNRS)

Author : Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier
Publisher : Oxford University Press on Demand
Page : 263 pages
File Size : 46,5 Mb
Release : 2006-04-13
Category : Mathematics
ISBN : 9780198571339

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Mathematical Geophysics by Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier Pdf

Aimed at graduate students and researchers in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The Navier-Stokes equations are examined in both incompressible and rapidly rotating forms.

Author : Pijush K. Kundu
Publisher : Elsevier
Page : 661 pages
File Size : 52,7 Mb
Release : 2013-04-09
Category : Science
ISBN : 9780323140249

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Fluid Mechanics by Pijush K. Kundu Pdf

Written in a clear and simple style, this textbook on fluid mechanics gives equal emphasis to both geophysical and engineering fluid mechanics. For physicists, it contains chapters on geophysical fluid mechanics and gravity waves; for engineers, it has chapters on aerodynamics and compressible flow. Of common interest are chapters on governing equations, laminar flows, boundary layers, instability, and turbulence. This book also presents topics of recent interest, such as deterministic chaos, and double-diffusive instability. n Gives equal treatment to topics in both engineering and geophysical fluid dynamics n Suitable as an intermediate or graduate course textbook for students in their senior year or above n Treats topics of recent interest such as deterministic chaos, double diffusive instability and soliton n Extensively illustrated n Contains fully worked examples in each chapter as well as end-of-chapter problems n An instructor's manual is available