November 30, 2020

Download Ebook Free Nonlinear Dynamics Of Rotating Shallow Water

Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances

Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances
Author : Anonim
Publisher : Elsevier
Release Date : 2007-04-03
Category : Science
Total pages :400
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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)

Fronts, Waves and Vortices in Geophysical Flows

Fronts, Waves and Vortices in Geophysical Flows
Author : Jan-Bert Flor
Publisher : Springer
Release Date : 2010-06-01
Category : Science
Total pages :192
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Most well known structures in planetary atmospheres and the Earth’s oceans are jets or fronts interacting with vortices on a wide range of scales. The transition from one state to another, such as in unbalanced or adjustment flows, involves the generation of waves as well as the interaction of coherent structures with these waves. This book presents a fluid mechanics perspective to the dynamics of fronts and vortices and their interaction with waves in geophysical flows. It provides a basic physical background for modeling coherent structures in a geophysical context, and it gives essential information on advanced topics such as spontaneous wave emission and wavemomentum transfer in geophysical flows. Based on a set of lectures by leading specialists, this text is targeted at graduate students, researchers and engineers in geophysics and environmental fluid mechanics.

Geophysical Fluid Dynamics

Geophysical Fluid Dynamics
Author : Vladimir Zeitlin
Publisher : Oxford University Press
Release Date : 2018-02-15
Category : Mathematics
Total pages :512
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Geophysical fluid dynamics examines the dynamics of stratified and turbulent motion of fluids in the ocean and outer core, and of gases in the atmosphere. This book explains key notions and fundamental processes of the dynamics of large- and medium-scale atmospheric and oceanic motions from the unifying viewpoint of the rotating shallow water model. The model plays a distinguished role in geophysical fluid dynamics. It has been used for about a century for conceptual understanding of various phenomena, for elaboration of approaches and methods to be used later in more complete models, for development and testing of numerical codes, and for many other purposes. In spite of its simplicity, the model grasps essential features of the complete "primitive equations" models, being their vertically averaged version, and gives an intuitive representation and clear vision of principal dynamical processes. This book is a combination of a course on geophysical fluid dynamics (Part 1), with explanations and illustrations of fundamentals, and problems, as well as a more advanced treatise of a range of principal dynamical phenomena (Part 2), including recently arisen approaches and applications (Part 3). Mathematics and physics underlying dynamical phenomena are explained, with necessary demonstrations. Yet, an important goal of the book is to develop the reader's physical intuition and qualitative insights.

Dispersive Shallow Water Waves

Dispersive Shallow Water Waves
Author : Gayaz Khakimzyanov,Denys Dutykh,Zinaida Fedotova,Oleg Gusev
Publisher : Springer Nature
Release Date : 2020
Category : Electronic books
Total pages :296
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This monograph presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves. Including both an overview of existing dispersive models, as well as recent breakthroughs, the authors maintain an ideal balance between theory and applications. From modelling tsunami waves to smaller scale coastal processes, this book will be an indispensable resource for those looking to be brought up-to-date in this active area of scientific research. Beginning with an introduction to various dispersive long wave models on the flat space, the authors establish a foundation on which readers can confidently approach more advanced mathematical models and numerical techniques. The first two chapters of the book cover modelling and numerical simulation over globally flat spaces, including adaptive moving grid methods along with the operator splitting approach, which was historically proposed at the Institute of Computational Technologies at Novosibirsk. Later chapters build on this to explore high-end mathematical modelling of the fluid flow over deformed and rotating spheres using the operator splitting approach. The appendices that follow further elaborate by providing valuable insight into long wave models based on the potential flow assumption, and modified intermediate weakly nonlinear weakly dispersive equations. Dispersive Shallow Water Waves will be a valuable resource for researchers studying theoretical or applied oceanography, nonlinear waves as well as those more broadly interested in free surface flow dynamics.

Nonlinear Processes in Geophysical Fluid Dynamics

Nonlinear Processes in Geophysical Fluid Dynamics
Author : O.U. Velasco Fuentes,J. Sheinbaum,J. Ochoa
Publisher : Springer Science & Business Media
Release Date : 2011-06-27
Category : Technology & Engineering
Total pages :376
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A Tribute to the Scientific Work of Pedro Ripa

Modeling Atmospheric and Oceanic Flows

Modeling Atmospheric and Oceanic Flows
Author : Thomas von Larcher,Paul D. Williams
Publisher : John Wiley & Sons
Release Date : 2014-10-30
Category : Science
Total pages :368
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Modeling Atmospheric and Oceanic Flows: Insights from Laboratory Experiments and Numerical Simulations provides a broad overview of recent progress in using laboratory experiments and numerical simulations to model atmospheric and oceanic fluid motions. This volume not only surveys novel research topics in laboratory experimentation, but also highlights recent developments in the corresponding computational simulations. As computing power grows exponentially and better numerical codes are developed, the interplay between numerical simulations and laboratory experiments is gaining paramount importance within the scientific community. The lessons learnt from the laboratory–model comparisons in this volume will act as a source of inspiration for the next generation of experiments and simulations. Volume highlights include: Topics pertaining to atmospheric science, climate physics, physical oceanography, marine geology and geophysics Overview of the most advanced experimental and computational research in geophysics Recent developments in numerical simulations of atmospheric and oceanic fluid motion Unique comparative analysis of the experimental and numerical approaches to modeling fluid flow Modeling Atmospheric and Oceanic Flows will be a valuable resource for graduate students, researchers, and professionals in the fields of geophysics, atmospheric sciences, oceanography, climate science, hydrology, and experimental geosciences.

Nonlinear Topics in Ocean Physics

Nonlinear Topics in Ocean Physics
Author : A.R. Osborne
Publisher : Elsevier
Release Date : 1991-07-04
Category : Science
Total pages :1032
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The main fields presented at this school were mesoscale and large scale flows, and nonlinear wave dynamics. The resulting proceedings present the latest developments in these fields.

Proceedings of the International School of Physics "Enrico Fermi".

Proceedings of the International School of Physics
Author : Anonim
Publisher : Unknown
Release Date : 1991
Category :
Total pages :129
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Large-Scale Atmosphere-Ocean Dynamics: Volume 1

Large-Scale Atmosphere-Ocean Dynamics: Volume 1
Author : John Norbury,Ian Roulstone
Publisher : Cambridge University Press
Release Date : 2002-08-15
Category : Mathematics
Total pages :402
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Publisher Description

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws
Author : François Bouchut
Publisher : Springer Science & Business Media
Release Date : 2004-06-25
Category : Mathematics
Total pages :134
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The schemes are analyzed regarding their nonlinear stability Recently developed entropy schemes are presented A formalism is introduced for source terms

Systems of Conservation Laws 2

Systems of Conservation Laws 2
Author : Denis Serre
Publisher : Cambridge University Press
Release Date : 1999
Category : Mathematics
Total pages :269
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A graduate text on mathematical theory of conservation laws and partial differential equations.

ESAIM.

ESAIM.
Author : Anonim
Publisher : Unknown
Release Date : 2008
Category : Mathematical models
Total pages :129
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Geometrical Theory of Dynamical Systems and Fluid Flows (revised Edition)

Geometrical Theory of Dynamical Systems and Fluid Flows (revised Edition)
Author : Anonim
Publisher : World Scientific
Release Date : 2009
Category : Electronic books
Total pages :444
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Proceedings of the Heat Transfer and Fluid Mechanics Institute

Proceedings of the Heat Transfer and Fluid Mechanics Institute
Author : Heat Transfer and Fluid Mechanics Institute
Publisher : Unknown
Release Date : 1991
Category : Fluid mechanics
Total pages :129
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Physics Briefs

Physics Briefs
Author : Anonim
Publisher : Unknown
Release Date : 1994
Category : Physics
Total pages :129
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