Nonlinear Ocean Dynamics Book

Nonlinear Ocean Dynamics

  • Author : Maged Marghany
  • Publisher : Elsevier
  • Release Date : 2021-02-09
  • Genre: Science
  • Pages : 462
  • ISBN 10 : 9780128209257

Nonlinear Ocean Dynamics Excerpt :

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

 Low Order Nonlinear Ocean Dynamics   Book

Low Order Nonlinear Ocean Dynamics

  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1996
  • Genre: Uncategoriezed
  • Pages : 4
  • ISBN 10 : OCLC:227851000

Low Order Nonlinear Ocean Dynamics Excerpt :

Work on this contract focused on two topics which relate to low order nonlinear ocean dynamics: (1) understanding the manner in which dynamical constraints - specifically, vorticity conservation or lack thereof - affect oceanic particle motion; and (2) assessing whether low order behavior can be detected in the temporal evolution of large scale geophysical flows.

Nonlinear Ocean Waves and the Inverse Scattering Transform Book

Nonlinear Ocean Waves and the Inverse Scattering Transform

  • Author : Alfred Osborne
  • Publisher : Academic Press
  • Release Date : 2010-04-07
  • Genre: Science
  • Pages : 944
  • ISBN 10 : 0080925103

Nonlinear Ocean Waves and the Inverse Scattering Transform Excerpt :

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 Dynamics in Geosciences Book

Nonlinear Dynamics in Geosciences

  • Author : Anastasios A. Tsonis
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-10-23
  • Genre: Science
  • Pages : 604
  • ISBN 10 : 9780387349183

Nonlinear Dynamics in Geosciences Excerpt :

This work comprises the proceedings of a conference held last year in Rhodes, Greece, to assess developments during the last 20 years in the field of nonlinear dynamics in geosciences. The volume has its own authority as part of the Aegean Conferences cycle, but it also brings together the most up-to-date 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 Many Facets of Complexity Science Book

The Many Facets of Complexity Science

  • Author : Dimitri Volchenkov
  • Publisher : Springer Nature
  • Release Date : 2021-08-30
  • Genre: Science
  • Pages : 206
  • ISBN 10 : 9789811628535

The Many Facets of Complexity Science Excerpt :

This book explores recent developments in theoretical research and data analysis of real-world complex systems, organized in three parts, namely Entropy, information, and complexity functions Multistability, oscillations, and rhythmic synchronization Diffusions, rotation, and convection in fluids The collection of works devoted to the memory of Professor Valentin Afraimovich provides a deep insight into the recent developments in complexity science by introducing new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to economics, genetics, engineering vibrations, as well as classic problems in physics, fluid and climate dynamics, and urban dynamics. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, and urban planners.

Nonlinear Physical Oceanography Book

Nonlinear Physical Oceanography

  • Author : Henk A. Dijkstra
  • Publisher : Springer Science & Business Media
  • Release Date : 2005-05-04
  • Genre: Science
  • Pages : 532
  • ISBN 10 : 9781402022623

Nonlinear Physical Oceanography Excerpt :

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".

Nonlinear Climate Dynamics Book

Nonlinear Climate Dynamics

  • Author : Henk A. Dijkstra
  • Publisher : Cambridge University Press
  • Release Date : 2013-06-17
  • Genre: Science
  • Pages : 357
  • ISBN 10 : 9780521879170

Nonlinear Climate Dynamics Excerpt :

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.

Ocean Dynamics Book

Ocean Dynamics

  • Author : Dirk Olbers
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-04-27
  • Genre: Science
  • Pages : 703
  • ISBN 10 : 9783642234507

Ocean Dynamics Excerpt :

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

Numerical Modeling of Ocean Dynamics Book

Numerical Modeling of Ocean Dynamics

  • Author : Zygmunt Kowalik
  • Publisher : World Scientific
  • Release Date : 1993-05-19
  • Genre: Technology & Engineering
  • Pages : 496
  • ISBN 10 : 9789814365666

Numerical Modeling of Ocean Dynamics Excerpt :

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. Contents:Formulation of the General Equations:Equations of Motion, Continuity and DiffusionTwo-Dimensional EquationsApplication of the Stream FunctionViscosity in the Turbulent FlowTransport Equations:Mathematical RudimentsBoundary and Initial ConditionsBasic Numerical PropertiesExplicit Versus Implicit Numerical SchemesCentered Numerical SchemesComputational Errors: Diffusion and DispersionComputational and Physical Modes of the Numerical SolutionDiffusive ProcessesApplication of the Higher Order Computational Schemes to the Advective EquationTwo-Dimensional Numerical Models:Basic ProblemsNumerical Solution of the System of EquationsStep by Step Approach to the Construction and Analysis of Simple Numerical SchemesTwo-Dimensional ModelsNumerical FilteringGrid RefinementSimulation of Long Wave Run-UpFinite-Differencing of the Time DerivativeFinite-Differencing of the Space DerivativeTreatment of Open BoundariesTreatment of the Nonlinear Advective TermsMoving Boundary Models and Inclusion of Tidal FlatsNested Grids and Multiple GridsStretch

Optical Remote Sensing of Ocean Hydrodynamics Book

Optical Remote Sensing of Ocean Hydrodynamics

  • Author : Victor Raizer
  • Publisher : CRC Press
  • Release Date : 2019-03-04
  • Genre: Technology & Engineering
  • Pages : 280
  • ISBN 10 : 9781351119160

Optical Remote Sensing of Ocean Hydrodynamics Excerpt :

Optical Remote Sensing is one of the main technologies used in sea surface monitoring. Optical Remote Sensing of Ocean Hydrodynamics investigates and demonstrates capabilities of optical remote sensing technology for enhanced observations and detection of ocean environments. It provides extensive knowledge of physical principles and capabilities of optical observations of the oceans at high spatial resolution, 1-4m, and on the observations of surface wave hydrodynamic processes. It also describes the implementation of spectral-statistical and fusion algorithms for analyses of multispectral optical databases and establishes physics-based criteria for detection of complex wave phenomena and hydrodynamic disturbances including assessment and management of optical databases. This book explains the physical principles of high-resolution optical imagery of the ocean surface, discusses for the first time the capabilities of observing hydrodynamic processes and events, and emphasizes the integration of optical measurements and enhanced data analysis. It also covers both the assessment and the interpretation of dynamic multispectral optical databases and includes applications for advanced studies and nonacoustic detection. This book is an invaluable resource for researches, industry professionals, engineers, and students working on cross-disciplinary problems in ocean hydrodynamics, optical remote sensing of the ocean and sea surface remote sensing. Readers in the fields of geosciences and remote sensing, applied physics, oceanography, satellite observation technology, and optical engineering will learn the theory and practice of optical interactions with the ocean.

Nonlinear Wave Dynamics Book

Nonlinear Wave Dynamics

  • Author : Patrick Lynett
  • Publisher : World Scientific
  • Release Date : 2009
  • Genre: Science
  • Pages : 303
  • ISBN 10 : 9789812709035

Nonlinear Wave Dynamics Excerpt :

In September 2006, research leaders in the field of coastal engineering, fluid mechanics, and wave theory met at Cornell University to celebrate the 60th birthday of Prof. Philip L-F Liu. This volume is a compilation of the research papers presented at the symposium, and includes both review and new research papers. Topics such as nonlinear wave theory, tsunamis, wave-structure interaction, turbulence, and modeling of complex sediment transport are discussed in this volume. All of the contributing authors are research collaborators of Prof. Liu, and include leaders in coastal engineering such as Maarten Dingemans, Hwung-Hweng Hwung, Nobu Kobayashi, Inigo Losada, Hocine Oumeraci, Costas Synolakis, and Harry Yeh.

Nonlinear Dynamics of Rotating Shallow Water  Methods and Advances Book

Nonlinear Dynamics of Rotating Shallow Water Methods and Advances

  • Author : Anonim
  • Publisher : Elsevier
  • Release Date : 2007-04-03
  • Genre: Science
  • Pages : 400
  • ISBN 10 : 008048946X

Nonlinear Dynamics of Rotating Shallow Water Methods and Advances Excerpt :

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 nonl

Geophysics and Ocean Waves Studies Book

Geophysics and Ocean Waves Studies

  • Author : Khalid S. Essa
  • Publisher : BoD – Books on Demand
  • Release Date : 2021-03-17
  • Genre: Science
  • Pages : 184
  • ISBN 10 : 9781789853728

Geophysics and Ocean Waves Studies Excerpt :

The book “Geophysics and Ocean Waves Studies” presents the collected chapters in two sections named “Geophysics” and “Ocean Waves Studies”. The first section, “Geophysics”, provides a thorough overview of using different geophysical methods including gravity, self-potential, and EM in exploration. Moreover, it shows the significance of rock physics properties and enhanced oil recovery phases during oil reservoir production. The second section, “Ocean Waves Studies”, is intended to provide the reader with a strong description of the latest developments in the physical and numerical description of wind-generated and long waves, including some new features discovered in the last few years. The section is organized with the aim to introduce the reader from offshore to nearshore phenomena including a description of wave dissipation and large-scale phenomena (i.e., storm surges and landslide-induced tsunamis). This book shall be of great interest to students, scientists, geologists, geophysicists, and the investment community.

Advances in Coastal and Ocean Engineering Book

Advances in Coastal and Ocean Engineering

  • Author : Philip L. F. Liu
  • Publisher : World Scientific
  • Release Date : 1999
  • Genre: Science
  • Pages : 324
  • ISBN 10 : 9789812797551

Advances in Coastal and Ocean Engineering Excerpt :

In the last two decades, one of the most important research accomplishments in coastal hydrodynamics has been the development of accurate numerical models for nonlinear water wave propagation over a complex bathymetry from a relatively deep-water depth into the surf zone. This book contains five excellent papers reviewing different methodologies in various aspects of wave modeling; the authors are active researchers who have made original contributions to these subjects.

Advances in Coastal and Ocean Engineering Book

Advances in Coastal and Ocean Engineering

  • Author : Philip L-F Liu
  • Publisher : World Scientific
  • Release Date : 1999-06-17
  • Genre: Technology & Engineering
  • Pages : 264
  • ISBN 10 : 9789814496728

Advances in Coastal and Ocean Engineering Excerpt :

This volume consists of five excellent review papers. In the first paper, “A Review of Coastal Wave Modeling: The Physical and Mathematical Problems”, N E Huang presents a summary of the state-of-the-art of wave modeling in deep waters. He points out several shortcomings in existing modeling approaches and expresses the urgent need for developing a statistical theory of surface waves in shallow waters. Huang believes that the statistical theory can be formulated as the soliton turbulence. He also points out other important issues in wave modeling, including the air-sea interaction processes, and the physics of the wave-current and dissipation processes. In the second paper A C Radder focuses his discussion on the “Hamiltonian Dynamics of Water Waves”. He demonstrates that the Hamiltonian theory of surface waves can be formulated in terms of surface elevation and the velocity potential at the free surface as canonical variables. Several evolution equations, can be readily obtained. Radder also points out the need to develop a stochastic wave model in the shallow-water environment. The maximum runup is arguably the single most important parameter in the design of coastal structures and for the evaluation of the inundation potential of storm surges and tsunamis. C E Synolakis presents a thorough review of the “Exact Solutions of Shallow-Water Wave Equations”. For a single sloping beach, the evolution and runup of solitary, dipole, N and cnoidal waves are discussed. These solutions are then extended to more practical problems. The last two papers concern the flow and sediment motions near the seafloor. In their paper, “Boundary Layer and Sediment Dynamics Under Sea Waves”, P Blondeaux and G Vittori give an expert review of the recent contributions on the understanding of the interaction of the coherent vortex with cohesionless or partially cohesive sediments in a boundary layer. The formation and development of small-scale bedforms in the coastal regions