• Science

Nonlinear Physical Oceanography

A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Niño,
Author: Henk A. Dijkstra
Publisher: Springer Science & Business Media
ISBN: 1402022638
Category: Science
Page: 532
View: 3231
Taken from a review of the first edition in SIAM: "This text is different from most others in that it combines several different disciplines and draws on many scientific studies in order to deduce mechanisms of ocean circulation. (...) Therefore (it) cannot be substituted, and (...) it meets its unique goals with clarity and thoroughness".

    • Mathematics

Inverse Methods in Physical Oceanography


Author: Andrew F. Bennett
Publisher: Cambridge University Press
ISBN: 9780521385688
Category: Mathematics
Page: 346
View: 6055
The work explores the potential for inverse theory which can combine observations of ocean circulation with numerical models.

    • Science

Dynamical Oceanography


Author: Henk A. Dijkstra
Publisher: Springer Science & Business Media
ISBN: 3540763759
Category: Science
Page: 408
View: 1202
This textbook provides a mathematical introduction to the theory of large-scale ocean circulation. It is accessible for readers with an elementary knowledge of mathematics and physics, including continuum mechanics and solution methods for ordinary differential equations. At the end of each chapter several exercises are formulated. Many of these are aimed to further develop methodological skills and to get familiar with the physical concepts. New material is introduced in only a few of these exercises. Fully worked out answers to all exercises can be downloaded from the book’s web site.

    • Science

Nonlinear Climate Dynamics


Author: Henk A. Dijkstra
Publisher: Cambridge University Press
ISBN: 0521879175
Category: Science
Page: 357
View: 4820
This book introduces stochastic dynamical systems theory in order to synthesize our current knowledge of climate variability. Nonlinear processes, such as advection, radiation and turbulent mixing, play a central role in climate variability. These processes can give rise to transition phenomena, associated with tipping or bifurcation points, once external conditions are changed. The theory of dynamical systems provides a systematic way to study these transition phenomena. Its stochastic extension also forms the basis of modern (nonlinear) data analysis techniques, predictability studies and data assimilation methods. Early chapters apply the stochastic dynamical systems framework to a hierarchy of climate models to synthesize current knowledge of climate variability. Later chapters analyse phenomena such as the North Atlantic Oscillation, El Niño/Southern Oscillation, Atlantic Multidecadal Variability, Dansgaard-Oeschger Events, Pleistocene Ice Ages, and climate predictability. This book will prove invaluable for graduate students and researchers in climate dynamics, physical oceanography, meteorology and paleoclimatology.

    • Technology & Engineering

Physical Oceanography

A Mathematical Introduction with MATLAB
Author: Reza Malek-Madani
Publisher: CRC Press
ISBN: 158488830X
Category: Technology & Engineering
Page: 456
View: 8514
Accessible to advanced undergraduate students, Physical Oceanography: A Mathematical Introduction with MATLAB® demonstrates how to use the basic tenets of multivariate calculus to derive the governing equations of fluid dynamics in a rotating frame. It also explains how to use linear algebra and partial differential equations (PDEs) to solve basic initial-boundary value problems that have become the hallmark of physical oceanography. The book makes the most of MATLAB’s matrix algebraic functions, differential equation solvers, and visualization capabilities. Focusing on the interplay between applied mathematics and geophysical fluid dynamics, the text presents fundamental analytical and computational tools necessary for modeling ocean currents. In physical oceanography, the fluid flows of interest occur on a planet that rotates; this rotation can balance the forces acting on the fluid particles in such a delicate fashion to produce exquisite phenomena, such as the Gulf Stream, the Jet Stream, and internal waves. It is precisely because of the role that rotation plays in oceanography that the field is fundamentally different from the rectilinear fluid flows typically observed and measured in laboratories. Much of this text discusses how the existence of the Gulf Stream can be explained by the proper balance among the Coriolis force, wind stress, and molecular frictional forces. Through the use of MATLAB, the author takes a fresh look at advanced topics and fundamental problems that define physical oceanography today. The projects in each chapter incorporate a significant component of MATLAB programming. These projects can be used as capstone projects or honors theses for students inclined to pursue a special project in applied mathematics.

    • Science

Nonlinear Ocean Waves and the Inverse Scattering Transform


Author: Alfred Osborne
Publisher: Academic Press
ISBN: 9780080925103
Category: Science
Page: 944
View: 8716
For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. Presents techniques and methods of the inverse scattering transform for data analysis Geared toward both the introductory and advanced reader venturing further into mathematical and numerical analysis Suitable for classroom teaching as well as research

    • Science

Extreme Ocean Waves


Author: Efim Pelinovsky,Christian Kharif
Publisher: Springer
ISBN: 3319215752
Category: Science
Page: 236
View: 1925
This revised and updated second edition details the vast progress that has been achieved in the understanding of the physical mechanisms of rogue wave phenomenon in recent years. The selected articles address such issues as the formation of rogue waves due to modulational instability of nonlinear wave field, physical and statistical properties of extreme ocean wave generation in deep water as well as in shallow water, various models of nonlinear water waves, special analysis of nonlinear resonances between water waves and the relation between in situ observations, experimental data and rogue wave theories. In addition, recent results on tsunami waves due to subaerial landslides are presented. This book is written for specialists in the fields of fluid mechanics, applied mathematics, nonlinear physics, physical oceanography and geophysics, and for students learning these subjects.

    • Science

Rotating Hydraulics

Nonlinear Topographic Effects in the Ocean and Atmosphere
Author: Lawrence L.J. Pratt,John A. Whitehead
Publisher: Springer Science & Business Media
ISBN: 9780387495729
Category: Science
Page: 592
View: 8392
This book thoroughly covers the development of the theory of rotating hydraulics, making frequent use of supporting laboratory models and observational data. The need to understand rotating hydraulic phenomena is growing as general interest in climate and global circulation is continuously increasing. The book details cutting-edge research and includes many exercises.

    • Science

Introductory Dynamical Oceanography


Author: Stephen Pond,George L. Pickard
Publisher: Elsevier
ISBN: 0080570542
Category: Science
Page: 349
View: 3648
'Introductory Dynamical Oceanography' 2nd ed provides an introduction to Dynamical Physical Oceanography at a level suitable for senior year undergraduate students in the sciences and for graduate students entering oceanography. It aims to present the basic objectives, procedures and successes and to state some of the present limitations of dynamical oceanography and its relations to descriptive physical oceanography. The first edition has been thoroughly revised and updated and the new work includes reference to the Practical Salinity Scale 1978, the International Equation of State 1980 and the beta-spiral technique for calculating absolute currents from the density distribution. In addition the description of mixed-layer models has been updated and the chapters on Waves and on Tides have been substantially revised and enlarged, with emphasis on internal waves in the Waves chapter. While the text is self-contained readers are recommended to acquaint themselves with the general aspects of descriptive (synoptic) oceanography in order to be aware of the character of the ocean which the dynamical oceanographer is attempting to explain by referring to Pickard and Emery's 'Descriptive Physical Oceanography' 4th edition.

    • Mathematics

Nonlinear Dynamics in Geosciences


Author: Anastasios A. Tsonis,James B. Elsner
Publisher: Springer Science & Business Media
ISBN: 0387349170
Category: Mathematics
Page: 604
View: 1802
This volume is comprised of the proceedings of "20 Years of Nonlinear Dynamics in Geosciences", held June 11-16, 2006 in Rhodes, Greece as part of the Aegean Conferences. The volume brings together research from the atmospheric sciences, hydrology, geology, and other areas of Geosciences, and discusses the advances made and the future directions of nonlinear dynamics. The topics covered include predictability, ensemble prediction, nonlinear prediction, nonlinear time series analysis, low-dimensional chaos, nonlinear modeling, fractals and multifractals, bifurcation, and other aspects of nonlinear science.

    • Mathematics

Discontinuity, Nonlinearity, and Complexity


Author: Lev Ostrovsky,Dimitry Volchenkov
Publisher: L& H Scientific Publishing
ISBN: N.A
Category: Mathematics
Page: 98
View: 4875
The interdisciplinary journal publishes original and new results on recent developments, discoveries and progresses on Discontinuity, Nonlinearity and Complexity in physical and social sciences. The aim of the journal is to stimulate more research interest for exploration of discontinuity, complexity, nonlinearity and chaos in complex systems. The manuscripts in dynamical systems with nonlinearity and chaos are solicited, which includes mathematical theories and methods, physical principles and laws, and computational techniques. The journal provides a place to researchers for the rapid exchange of ideas and techniques in discontinuity, complexity, nonlinearity and chaos in physical and social sciences. No length limitations for contributions are set, but only concisely written manuscripts are published. Brief papers are published on the basis of Technical Notes. Discussions of previous published papers are welcome. Topics of Interest Complex and hybrid dynamical systemsDiscontinuous dynamical systems (i.e., impulsive, time-delay, flow barriers)Nonlinear discrete systems and symbolic dynamicsFractional dynamical systems and controlStochastic dynamical systems and randomnessComplexity, self-similarity and synchronization in nonlinear physicsNonlinear phenomena and physical mechanismsStability, bifurcation and chaos in complex systemsHydrodynamics, turbulence and complexity mechanismNonlinear waves and solitonDynamical networksCombinatorial aspects of dynamical systemsBiological dynamics and biophysics


    • Technology & Engineering

Nonlinear Processes in Geophysical Fluid Dynamics

A tribute to the scientific work of Pedro Ripa
Author: O.U. Velasco Fuentes,J. Sheinbaum,J. Ochoa
Publisher: Springer Science & Business Media
ISBN: 9401000743
Category: Technology & Engineering
Page: 376
View: 5725
A Tribute to the Scientific Work of Pedro Ripa

    • Science

Physical Oceanography

Developments Since 1950
Author: Markus Jochum,Raghu Murtugudde
Publisher: Springer Science & Business Media
ISBN: 0387331522
Category: Science
Page: 250
View: 921
Unique combination and integrated assessment of three major fields in physical oceanography Providing both in depth scientific views and a historical overview Very prominent and reknown authors brought together

    • Science

Ocean Circulation Theory


Author: Joseph Pedlosky
Publisher: Springer Science & Business Media
ISBN: 366203204X
Category: Science
Page: 456
View: 3011
An overview of the advances made in the last decade and a half in this field. Based on an advanced graduate level course, the book represents fundamental insights into the structure of the physical theory of the large-scale dynamics of the oceans. The author has maintained throughout a blend of analytical and numerical results so as to achieve as deep a physical understanding of the dynamics of the large-scale circulations as possible. The results of the theories are compared with observations and the success or inadequacies of the theories are highlighted. Topics of particular interest are: theory of the wind-driven circulation, the thermocline, the equatorial circulation and the abyssal circulation. Much of the material - previously scattered throughout the literature - has been collated here for the first time.

    • Science

50 Years of Ocean Discovery:

National Science Foundation 1950-2000
Author: Commission on Geosciences, Environment and Resources,Ocean Studies Board,National Research Council,Division on Earth and Life Studies
Publisher: National Academies Press
ISBN: 0309063981
Category: Science
Page: 276
View: 9969
This book describes the development of ocean sciences over the past 50 years, highlighting the contributions of the National Science Foundation (NSF) to the field's progress. Many of the individuals who participated in the exciting discoveries in biological oceanography, chemical oceanography, physical oceanography, and marine geology and geophysics describe in the book how the discoveries were made possible by combinations of insightful individuals, new technology, and in some cases, serendipity. In addition to describing the advance of ocean science, the book examines the institutional structures and technology that made the advances possible and presents visions of the field's future. This book is the first-ever documentation of the history of NSF's Division of Ocean Sciences, how the structure of the division evolved to its present form, and the individuals who have been responsible for ocean sciences at NSF as "rotators" and career staff over the past 50 years.

    • Science

Oceanography of Asian Marginal Seas


Author: K. Takano
Publisher: Elsevier
ISBN: 9780080870922
Category: Science
Page: 430
View: 8075
This volume contains 31 papers on physical and geological oceanography, marine engineering and meterology in the Japan Sea and the East China Sea. Almost all these papers were presented at the Fifth JECSS (Japan and East China Seas Study) Workshop held in Korea in 1989. Results of multinational cooperative studies carried out since the initiation of JECSS in 1981 are presented. Authors are from China, Japan, Korea, UK, USA and USSR. A wide range of subjects are covered from the viewpoint of various disciplines. The status of recent research on Asian marginal seas is outlined and points at issue are defined. An important aspect is the coverage of results from the USSR and China which are not normally easily accessible to scientists in other countries, despite the importance of this research to the international scientific community. Various subjects, from estuaries to the problems related to the whole north Pacific, are covered in this book, and it is recommended to scientists in coastal oceanography, environmental oceanography, mesoscale (synoptic scale) oceanography and large-scale oceanography.

    • Mathematics

The Ocean Circulation Inverse Problem


Author: Carl Wunsch
Publisher: Cambridge University Press
ISBN: 9780521480901
Category: Mathematics
Page: 442
View: 1257
This book addresses the problem of inferring the state of the ocean circulation, from a mathematical perspective.

    • Oceanography

Statistics and Physical Oceanography


Author: National Research Council (U.S.). Committee on Applied and Theoretical Statistics. Panel on Statistics and Oceanography,William F. Eddy
Publisher: National Academies
ISBN: N.A
Category: Oceanography
Page: 62
View: 5030

    • Science

Quasi-Geostrophic Theory of Oceans and Atmosphere

Topics in the Dynamics and Thermodynamics of the Fluid Earth
Author: Fabio Cavallini,Fulvio Crisciani
Publisher: Springer Science & Business Media
ISBN: 9400746911
Category: Science
Page: 386
View: 2819
Large-scale winds and currents tend to balance Coriolis and pressure gradient forces. The time evolution of these winds and currents is the subject of the quasi-geostrophic theory. Chapter 1 presents concepts and equations of classical inertial fluid mechanics. Chapter 2 deals with the equations of thermodynamics that close the governing equations of the fluids. Then, the motion is reformulated in a uniformly rotating reference frame. Chapter 3 deals with the shallow-water model and the homogeneous model of wind-driven circulation. The chapter also describes a classical application of the Ekman layer to the atmosphere. Chapter 4 considers the two-layer model, as an introduction to baroclinic flows, together with the concept of available potential energy. Chapter 5 takes into account continuously stratified flows in the ocean and in the atmosphere.