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Nonlinear Ocean Dynamics

Nonlinear Ocean Dynamics
  • Author : Maged Marghany
  • Publisher :Unknown
  • Release Date :2021-02-25
  • Total pages :462
  • ISBN : 9780128209257
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Summary : Nonlinear Ocean Dynamics: Synthetic Aperture Radar delivers the critical tools needed to understand the latest technology surrounding the radar imaging of nonlinear waves, particularly microwave radar, as a main source to understand, analyze and apply concepts in the field of ocean dynamic surface. Filling the gap between modern physics quantum theory and applications of radar imaging of ocean dynamic surface, this reference is packed with technical details associated with the potentiality of synthetic aperture radar (SAR). The book also includes key methods needed to extract the value-added information necessary, such as wave spectra energy, current pattern velocity, internal waves, and more. This book also reveals novel speculation of a shallow coastal front: named as Quantized Marghany's Front. Rounding out with practical simulations of 4-D wave-current interaction patterns using using radar images, the book brings an effective new source of technology and applications for today’s coastal scientists and engineers. Solves specific problems surrounding the nonlinearity of ocean surface dynamics in synthetic aperture radar data Helps develop new algorithms for retrieving ocean wave spectra and ocean current movements from synthetic aperture radar Includes over 100 equations that illustrate how to follow examples in the book

Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances

Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2007-04-03
  • Total pages :400
  • ISBN : 008048946X
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Summary : 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)

Nonlinear Ocean Waves and the Inverse Scattering Transform

Nonlinear Ocean Waves and the Inverse Scattering Transform
  • Author : Alfred Osborne
  • Publisher :Unknown
  • Release Date :2010-04-07
  • Total pages :944
  • ISBN : 0080925103
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Summary : 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

Nonlinear Physical Oceanography

Nonlinear Physical Oceanography
  • Author : Henk A. Dijkstra
  • Publisher :Unknown
  • Release Date :2007-07-16
  • Total pages :532
  • ISBN : 9781402022630
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Summary : 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".

Dynamics and Modelling of Ocean Waves

Dynamics and Modelling of Ocean Waves
  • Author : G. J. Komen,L. Cavaleri,M. Donelan,K. Hasselmann,S. Hasselmann,P. A. E. M. Janssen
  • Publisher :Unknown
  • Release Date :1996-08-15
  • Total pages :532
  • ISBN : 0521577810
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Summary : A comprehensive introduction and reference prepared by the world's leading ocean wave modellers.

Ocean Dynamics

Ocean Dynamics
  • Author : Dirk Olbers,Jürgen Willebrand,Carsten Eden
  • Publisher :Unknown
  • Release Date :2012-04-27
  • Total pages :703
  • ISBN : 9783642234507
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Summary : 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

Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics

Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics
  • Author : Annalisa Griffa,A. D. Kirwan, Jr.,Arthur J. Mariano,Tamay Özgökmen,H. Thomas Rossby
  • Publisher :Unknown
  • Release Date :2007-05-10
  • Total pages :229
  • ISBN : 9781139463089
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Summary : Written by a group of international experts in their field, this book is a review of Lagrangian observation, analysis and assimilation methods in physical and biological oceanography. This multidisciplinary text presents new results on nonlinear analysis of Lagrangian dynamics, the prediction of particle trajectories, and Lagrangian stochastic models. It includes historical information, up-to-date developments, and speculation on future developments in Lagrangian-based observations, analysis, and modeling of physical and biological systems. Containing contributions from experimentalists, theoreticians, and modellers in the fields of physical oceanography, marine biology, mathematics, and meteorology, this book will be of great interest to researchers and graduate students looking for both practical applications and information on the theory of transport and dispersion in physical systems, biological modelling, and data assimilation.

The Applied Dynamics of Ocean Surface Waves

The Applied Dynamics of Ocean Surface Waves
  • Author : Chiang C. Mei
  • Publisher :Unknown
  • Release Date :1989
  • Total pages :740
  • ISBN : 9971507897
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Summary : The aim of this book is to present selected theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering, all from the deterministic point of view. The bulk of the material deals with the linearized theory.

Nonlinear Climate Dynamics

Nonlinear Climate Dynamics
  • Author : Henk A. Dijkstra
  • Publisher :Unknown
  • Release Date :2013-06-17
  • Total pages :229
  • ISBN : 9781107244375
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Summary : 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.

Coastal Ocean Dynamics Applications Radar

Coastal Ocean Dynamics Applications Radar
  • Author : Thomas Martin Georges
  • Publisher :Unknown
  • Release Date :1985
  • Total pages :229
  • ISBN : UIUC:30112075638020
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Summary :

Ocean Wave Dynamics

Ocean Wave Dynamics
  • Author : Ian Young,Alexander Babanin
  • Publisher :Unknown
  • Release Date :2020-03-20
  • Total pages :396
  • ISBN : 9789811208683
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Summary : Ocean Wave Dynamics is the most up-to-date book of its kind on the three main processes responsible for the generation and evolution of ocean waves: (i) atmospheric input from the wind, (ii) wave breaking and (iii) nonlinear interactions.Ocean waves are important for many reasons. They are the major environmental impact on in the design of coastal or offshore structures. Ocean waves are also fundamental to the processes of coastal flooding and beach erosion. They will play a major role in storm related coastal flooding which will rise in frequency as a result of sea level rise. Ocean waves are also an important part of the coupled ocean-atmosphere system. They determine the roughness of the ocean surface and hence have an impact on winds, fluxes of energy, gases and heat to the ocean and even the stability of ice sheets.Containing the latest research on ocean waves, it is a valuable resource for an overview of knowledge in this important field.

Atmosphere-Ocean Dynamics

Atmosphere-Ocean Dynamics
  • Author : Adrian E. Gill,Adrian E. (University of Cambridge Gill, England)
  • Publisher :Unknown
  • Release Date :1982-12-12
  • Total pages :662
  • ISBN : 0122835220
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Summary : How the Ocean : Atmosphere System Is Driven -- Transfer of Properties between Atmosphere and Ocean -- Properties of a Fluid at Rest -- Equations Satisfied by a Moving Fluid -- Adjustment under Gravity in a Nonrotating System -- Adjustment under Gravity of a Density-Stratified Fluid -- Effect of Rotation -- Gravity Waves in a Rotating Fluid -- Forced Motion -- Effects of Side Boundaries -- The Tropics -- Mid-Latitudes -- Instabilities, Fronts, and the General Circulation -- Units and Their SI Equivalents -- Useful Values -- Properties of Seawater -- Properties of Moist Air.

Difference and Spectral Methods for Atmosphere and Ocean Dynamics Problems

Difference and Spectral Methods for Atmosphere and Ocean Dynamics Problems
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1974
  • Total pages :200
  • ISBN : UCAL:$B197545
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Summary :

Nonlinear Dynamics Of Ocean Waves - Proceedings Of The Symposium

Nonlinear Dynamics Of Ocean Waves - Proceedings Of The Symposium
  • Author : Shlesinger Michael F,Ramberg S E,Brandt A
  • Publisher :Unknown
  • Release Date :1992-08-31
  • Total pages :228
  • ISBN : 9789814554527
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Summary : The Standard Model of elementary particles, although very successful, contains various elements that are put in by hand. Understanding their origin requires going beyond the model and searching for “new physics”. The present book elaborates on one particular proposal concerning such physics. While the original conception is 50 years old, it has not lost its appeal over time. Its basic idea is that space — an arena of events treated in the Standard Model as a classical background — is a concept which emerges from a strictly discrete quantum layer in the limit of large quantum numbers. This book discusses an extension of this view by replacing space with phase space. It combines the results of the author's research papers and places them in much broader philosophical and phenomenological contexts, thus providing further arguments in favor of the proposed alternative. The book should be of interest to the philosophically-minded readers who are willing to contemplate unorthodox ideas on the very nature of the world.

Nonlinear Dynamics of Compliant Offshore Structures

Nonlinear Dynamics of Compliant Offshore Structures
  • Author : Patrick Bar-Avi
  • Publisher :Unknown
  • Release Date :2017-12-04
  • Total pages :181
  • ISBN : 9781351428248
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Summary : This monograph provides a general background to the modelling of a special class of offshore structures known as compliant structures. External forcing is resisted by buoyancy and tension forces which increase when the structure is slightly offset from its equilibrium. The technical development given in this book is presented in such a way as to highlight the adaptability of the modelling, and the reader is shown how the techniques described can be applied to a variety of different offshore structures.

Stochastic Dynamics and Reliability of Nonlinear Ocean Systems

Stochastic Dynamics and Reliability of Nonlinear Ocean Systems
  • Author : R. A. Ibrahim,Yu-Kweng Lin
  • Publisher :Unknown
  • Release Date :1994
  • Total pages :119
  • ISBN : UOM:39015033335913
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Summary :

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1991
  • Total pages :229
  • ISBN : UIUC:30112075702008
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Summary :

The Application of Mathematics to Physics and Nonlinear Science

The Application of Mathematics to Physics and Nonlinear Science
  • Author : Andrei Ludu
  • Publisher :Unknown
  • Release Date :2020-04-16
  • Total pages :122
  • ISBN : 9783039287260
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Summary : Nonlinear science is the science of, among other exotic phenomena, unexpected and unpredictable behavior, catastrophes, complex interactions, and significant perturbations. Ocean and atmosphere dynamics, weather, many bodies in interaction, ultra-high intensity excitations, life, formation of natural patterns, and coupled interactions between components or different scales are only a few examples of systems where nonlinear science is necessary. All outstanding, self-sustained, and stable structures in space and time exist and protrude out of a regular linear background of states mainly because they identify themselves from the rest by being highly localized in range, time, configuration, states, and phase spaces. Guessing how high up you drive toward the top of the mountain by compiling your speed, road slope, and trip duration is a linear model, but predicting the occurrence around a turn of a boulder fallen on the road is a nonlinear phenomenon. In an effort to grasp and understand nonlinear phenomena, scientists have developed several mathematical approaches including inverse scattering theory, Backlund and groups of transformations, bilinear method, and several other detailed technical procedures. In this Special Issue, we introduce a few very recent approaches together with their physical meaning and applications. We present here five important papers on waves, unsteady flows, phases separation, ocean dynamics, nonlinear optic, viral dynamics, and the self-appearance of patterns for spatially extended systems, which are problems that have aroused scientists’ interest for decades, yet still cannot be predicted and have their generating mechanism and stability open to debate. The aim of this Special Issue was to present these most debated and interesting topics from nonlinear science for which, despite the existence of highly developed mathematical tools of investigation, there are still fundamental open questions.

Wind-Waves in Oceans

Wind-Waves in Oceans
  • Author : Igor Lavrenov
  • Publisher :Unknown
  • Release Date :2003-02-27
  • Total pages :376
  • ISBN : 3540440151
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Summary : The study of sea waves has always been in the focus of mankind's atten tion. This is attributed not only to a desire to understand the behaviour in seas and oceans, but also, it has some practical necessity. Developing up-to date wind wave numerical methods requires detailed mathematical modelling, starting with wave generation, development, propagation and transformation on the surface in different water areas under quasi-stationary conditions, up to a synthesis of climatic features observed under different wave generation conditions in oceans, sea or coastal areas. The present monograph considers wind waves in terms of the most general formulation of the problem as a probable hydrodynamic process with wide spatial variability. It ranges between the global scale of the oceans, whose typical size is comparable with the Earth's radius, to the regional and local scales of the seas, including water areas limited in space with significant current or depth gradients in coastal zones, where waves cease their existence having propagated tens of thousand miles.

Nonlinear Dynamics and Chaos in Agricultural Systems

Nonlinear Dynamics and Chaos in Agricultural Systems
  • Author : K. Sakai
  • Publisher :Unknown
  • Release Date :2001-07-05
  • Total pages :204
  • ISBN : 0444506462
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Summary : An introduction to the analysis of chaos for readers majoring in agricultural science and an introduction to agricultural science for readers majoring in mathematical science and other fields. Hopes some readers will pursue further studies on the chaos of arable land. (Pref.)

Theory and Applications of Ocean Surface Waves: Nonlinear aspects

Theory and Applications of Ocean Surface Waves: Nonlinear aspects
  • Author : Chiang C. Mei,Michael Stiassnie,Dick K.-P. Yue
  • Publisher :Unknown
  • Release Date :2005
  • Total pages :1071
  • ISBN : 9789812561589
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Summary : This book is an expanded version of The Applied Dynamics of Ocean Surface Waves. It presents theoretical topics on ocean wave dynamics, including basic principles and applications in coastal and offshore engineering as well as coastal oceanography. Advanced analytical and numerical techniques are applied, such as singular perturbations. In this expanded edition, two chapters on recent developments have been added: one is on multiple scattering by periodic or random bathymetry, and the other is on Zakharov's theory of broad spectrum wave fields. New sections include topics on infragravity waves, upstream solitons, Venice storm gates, etc. In addition, there are many new exercises. Theory and Applications of Ocean Surface Waves will be invaluable for graduate students and researchers in coastal and ocean engineering, geophysical fluid dynamicists interested in water waves, and theoretical scientists and applied mathematicians wishing to develop new techniques for challenging problems or to apply techniques existing elsewhere.