Nonlinear Processes In Geophysical Fluid Dynamics

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Nonlinear Processes in Geophysical Fluid Dynamics

Author : O.U. Velasco Fuentes,J. Sheinbaum,J. Ochoa
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 55,7 Mb
Release : 2011-06-27
Category : Technology & Engineering
ISBN : 9789401000741

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Nonlinear Processes in Geophysical Fluid Dynamics by O.U. Velasco Fuentes,J. Sheinbaum,J. Ochoa Pdf

A Tribute to the Scientific Work of Pedro Ripa

Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances

Author : Anonim
Publisher : Elsevier
Page : 401 pages
File Size : 46,6 Mb
Release : 2007-04-03
Category : Science
ISBN : 9780080489469

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Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances by Anonim Pdf

The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner. · Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context· Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part)· Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonlinear waves)

Lectures on Geophysical Fluid Dynamics

Author : Rick Salmon
Publisher : Oxford University Press
Page : 393 pages
File Size : 52,7 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.

Non-linear Dynamics and Statistical Theories for Basic Geophysical Flows

Author : Anonim
Publisher : Unknown
Page : 551 pages
File Size : 54,6 Mb
Release : 2006
Category : Fluid dynamics
ISBN : 0511168608

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Non-linear Dynamics and Statistical Theories for Basic Geophysical Flows by Anonim Pdf

Geophysical fluid dynamics illustrates the rich interplay between mathematical analysis, nonlinear dynamics, statistical theories, qualitative models and numerical simulations. This self-contained introduction will suit a multi-disciplinary audience ranging from beginning graduate students to senior researchers. It is the first book following this approach and contains many recent ideas and results.

Theoretical Geophysical Fluid Dynamics

Author : Monin
Publisher : Springer Science & Business Media
Page : 406 pages
File Size : 48,8 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.

Nonlinear Waves in Fluids: Recent Advances and Modern Applications

Author : Roger Grimshaw
Publisher : Springer
Page : 196 pages
File Size : 43,8 Mb
Release : 2005-05-17
Category : Technology & Engineering
ISBN : 3211252592

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Nonlinear Waves in Fluids: Recent Advances and Modern Applications by Roger Grimshaw Pdf

Although nonlinear waves occur in nearly all branches of physics and engi neering, there is an amazing degree of agreement about the fundamental con cepts and the basic paradigms. The underlying unity of the theory for linearized waves is already well-established, with the importance of such universal concepts as group velocity and wave superposition. For nonlinear waves the last few decades have seen the emergence of analogous unifying comcepts. The pervasiveness of the soliton concept is amply demonstrated by the ubiquity of such models as the Korteweg-de Vries equation and the nonlinear Schrodinger equation. Similarly, there is a universality in the study of wave-wave interactions, whether determin istic or statistical, and in the recent developments in the theory of wave-mean flow interactions. The aim of this text is to present the basic paradigms of weakly nonlinear waves in fluids. This book is the outcome of a CISM Summer School held at Udine from September 20-24, 2004. . Like the lectures given there the text covers asymptotic methods for the derivation of canonical evolution equations, such as the Kortew- de Vries and nonlinear Schrodinger equations, descriptions of the basic solution sets of these evolution equations, and the most relevant and compelling applica tions. These themes are interlocked, and this will be demonstrated throughout the text . The topics address any fluid flow application, but there is a bias towards geophysical fluid dynamics, reflecting for the most part the areas where many applications have been found.

Geophysical Fluid Dynamics

Author : Joseph Pedlosky
Publisher : Springer Science & Business Media
Page : 723 pages
File Size : 50,7 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.

Non-Linear Variability in Geophysics

Author : D. Schertzer,S. Lovejoy
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 44,7 Mb
Release : 1991
Category : Mathematics
ISBN : 0792309855

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Non-Linear Variability in Geophysics by D. Schertzer,S. Lovejoy Pdf

consequences of broken symmetry -here parity-is studied. In this model, turbulence is dominated by a hierarchy of helical (corkscrew) structures. The authors stress the unique features of such pseudo-scalar cascades as well as the extreme nature of the resulting (intermittent) fluctuations. Intermittent turbulent cascades was also the theme of a paper by us in which we show that universality classes exist for continuous cascades (in which an infinite number of cascade steps occur over a finite range of scales). This result is the multiplicative analogue of the familiar central limit theorem for the addition of random variables. Finally, an interesting paper by Pasmanter investigates the scaling associated with anomolous diffusion in a chaotic tidal basin model involving a small number of degrees of freedom. Although the statistical literature is replete with techniques for dealing with those random processes characterized by both exponentially decaying (non-scaling) autocorrelations and exponentially decaying probability distributions, there is a real paucity of literature appropriate for geophysical fields exhibiting either scaling over wide ranges (e. g. algebraic autocorrelations) or extreme fluctuations (e. g. algebraic probabilities, divergence of high order statistical moments). In fact, about the only relevant technique that is regularly used -fourier analysis (energy spectra) -permits only an estimate of a single (power law) exponent. If the fields were mono-fractal (characterized by a single fractal dimension) this would be sufficient, however their generally multifractal character calls for the development of new techniques.

Geophysical Fluid Dynamics

Author : J. Pedlosky
Publisher : Springer Science & Business Media
Page : 636 pages
File Size : 45,6 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.

Waves and Nonlinear Processes in Hydrodynamics

Author : John Grue,Bjørn Gjevik,Jan Erik Weber
Publisher : Springer
Page : 444 pages
File Size : 43,9 Mb
Release : 1996-05-31
Category : Science
ISBN : UCSD:31822023834229

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Waves and Nonlinear Processes in Hydrodynamics by John Grue,Bjørn Gjevik,Jan Erik Weber Pdf

In December 1994 Professor Enok Palm celebrated his 70th birthday and retired after more than forty years of service at the University of Oslo. In view of his outstanding achievements as teacher and scientist a symposium entitled "Waves and Nonlinear Processes in Hydrodynamics" was held in his honour from the 17th to the 19th November 1994 in the locations of The Norwegian Academy of Science and Letters in Oslo. The topics of the symposium were chosen to cover Enok's broad range of scientific work, interests and accomplishments: Marine hydrodynamics, nonlinear wave theory, nonlinear stability, thermal convection and geophys ical fluid dynamics, starting with Enok's present activity, ending with the field where he began his career. This order was followed in the symposium program. The symposium had two opening lectures. The first looked back on the history of hydrodynamic research at the University of Oslo. The second focused on applications of hydrodynamics in the offshore industry today.

Numerical Methods for Wave Equations in Geophysical Fluid Dynamics

Author : Dale R. Durran
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 50,5 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.

Lagrangian Transport in Geophysical Jets and Waves

Author : Roger M. Samelson,Stephen Wiggins
Publisher : Springer Science & Business Media
Page : 154 pages
File Size : 48,9 Mb
Release : 2006-11-24
Category : Mathematics
ISBN : 9780387462134

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Lagrangian Transport in Geophysical Jets and Waves by Roger M. Samelson,Stephen Wiggins Pdf

Written jointly by a specialist in geophysical fluid dynamics and an applied mathematician, this is the first accessible introduction to a new set of methods for analysing Lagrangian motion in geophysical flows. The book opens by establishing context and fundamental mathematical concepts and definitions, exploring simple cases of steady flow, and touching on important topics from the classical theory of Hamiltonian systems. Subsequent chapters examine the elements and methods of Lagrangian transport analysis in time-dependent flows. The concluding chapter offers a brief survey of rapidly evolving research in geophysical fluid dynamics that makes use of this new approach.

Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows

Author : Andrew Majda,Xiaoming Wang
Publisher : Unknown
Page : 551 pages
File Size : 53,6 Mb
Release : 2006-05-11
Category : Mathematics
ISBN : 0521834414

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Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows by Andrew Majda,Xiaoming Wang Pdf

How nonlinear dynamics and statistical mechanics can be applied to geophysical fluid dynamics.

Geophysical Fluid Dynamics II

Author : Emin Özsoy
Publisher : Springer Nature
Page : 332 pages
File Size : 45,9 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

Introduction to Geophysical Fluid Dynamics

Author : Benoit Cushman-Roisin,Jean-Marie Beckers
Publisher : Academic Press
Page : 851 pages
File Size : 42,6 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)