# Nonlinear Dynamics of Rotating Shallow Water

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## Nonlinear Dynamics of Rotating Shallow Water Methods and Advances

Author | : Anonim |

Publsiher | : Elsevier |

Total Pages | : 400 |

Release | : 2007-04-03 |

ISBN 10 | : 9780080489469 |

ISBN 13 | : 008048946X |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Dynamics of Rotating Shallow Water Methods and Advances Book Review:**

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

Author | : Jan-Bert Flor |

Publsiher | : Springer |

Total Pages | : 192 |

Release | : 2010-06-01 |

ISBN 10 | : 364211587X |

ISBN 13 | : 9783642115875 |

Language | : EN, FR, DE, ES & NL |

**Fronts Waves and Vortices in Geophysical Flows Book Review:**

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

Author | : Vladimir Zeitlin |

Publsiher | : Oxford University Press |

Total Pages | : 512 |

Release | : 2018-02-15 |

ISBN 10 | : 0198804334 |

ISBN 13 | : 9780198804338 |

Language | : EN, FR, DE, ES & NL |

**Geophysical Fluid Dynamics Book Review:**

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

Author | : Gayaz Khakimzyanov,Denys Dutykh,Zinaida Fedotova,Oleg Gusev |

Publsiher | : Springer Nature |

Total Pages | : 296 |

Release | : 2020 |

ISBN 10 | : 3030462676 |

ISBN 13 | : 9783030462673 |

Language | : EN, FR, DE, ES & NL |

**Dispersive Shallow Water Waves Book Review:**

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

Author | : O.U. Velasco Fuentes,J. Sheinbaum,J. Ochoa |

Publsiher | : Springer Science & Business Media |

Total Pages | : 376 |

Release | : 2011-06-27 |

ISBN 10 | : 9401000743 |

ISBN 13 | : 9789401000741 |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Processes in Geophysical Fluid Dynamics Book Review:**

A Tribute to the Scientific Work of Pedro Ripa

## Modeling Atmospheric and Oceanic Flows

Author | : Thomas von Larcher,Paul D. Williams |

Publsiher | : John Wiley & Sons |

Total Pages | : 368 |

Release | : 2014-10-30 |

ISBN 10 | : 1118855922 |

ISBN 13 | : 9781118855928 |

Language | : EN, FR, DE, ES & NL |

**Modeling Atmospheric and Oceanic Flows Book Review:**

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

Author | : A.R. Osborne |

Publsiher | : Elsevier |

Total Pages | : 1032 |

Release | : 1991-07-04 |

ISBN 10 | : 0444597824 |

ISBN 13 | : 9780444597823 |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Topics in Ocean Physics Book Review:**

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

Author | : Anonim |

Publsiher | : Anonim |

Total Pages | : 329 |

Release | : 1991 |

ISBN 10 | : |

ISBN 13 | : UCAL:B5157841 |

Language | : EN, FR, DE, ES & NL |

**Proceedings of the International School of Physics Enrico Fermi Book Review:**

## Large Scale Atmosphere Ocean Dynamics Volume 1

Author | : John Norbury,Ian Roulstone |

Publsiher | : Cambridge University Press |

Total Pages | : 402 |

Release | : 2002-08-15 |

ISBN 10 | : 9780521806817 |

ISBN 13 | : 052180681X |

Language | : EN, FR, DE, ES & NL |

**Large Scale Atmosphere Ocean Dynamics Volume 1 Book Review:**

Publisher Description

## Geometrical Theory of Dynamical Systems and Fluid Flows revised Edition

Author | : Anonim |

Publsiher | : World Scientific |

Total Pages | : 444 |

Release | : 2009 |

ISBN 10 | : 9814282251 |

ISBN 13 | : 9789814282253 |

Language | : EN, FR, DE, ES & NL |

**Geometrical Theory of Dynamical Systems and Fluid Flows revised Edition Book Review:**

## Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws

Author | : François Bouchut |

Publsiher | : Springer Science & Business Media |

Total Pages | : 134 |

Release | : 2004-06-25 |

ISBN 10 | : 9783764366650 |

ISBN 13 | : 3764366656 |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws Book Review:**

The schemes are analyzed regarding their nonlinear stability Recently developed entropy schemes are presented A formalism is introduced for source terms

## Physics Briefs

Author | : Anonim |

Publsiher | : Anonim |

Total Pages | : 329 |

Release | : 1994 |

ISBN 10 | : |

ISBN 13 | : UOM:39015027832974 |

Language | : EN, FR, DE, ES & NL |

**Physics Briefs Book Review:**

## Proceedings of the Heat Transfer and Fluid Mechanics Institute

Author | : Heat Transfer and Fluid Mechanics Institute |

Publsiher | : Anonim |

Total Pages | : 329 |

Release | : 1991 |

ISBN 10 | : |

ISBN 13 | : UVA:X001997237 |

Language | : EN, FR, DE, ES & NL |

**Proceedings of the Heat Transfer and Fluid Mechanics Institute Book Review:**

## Dynamics of Internal Gravity Waves in the Ocean

Author | : Yu.Z. Miropol'sky |

Publsiher | : Springer Science & Business Media |

Total Pages | : 406 |

Release | : 2013-03-09 |

ISBN 10 | : 9401713251 |

ISBN 13 | : 9789401713252 |

Language | : EN, FR, DE, ES & NL |

**Dynamics of Internal Gravity Waves in the Ocean Book Review:**

This monograph creates a systematic interpretation of the theoretical and the most actual experimental aspects of the internal wave dynamics in the ocean. Firstly, it draws attention to the important physical effects from an oceanographical point of view which are presented in mathematical descriptions. Secondly, the book serves as an introduction to the range of modern ideas and the methods in the study of wave processes in dispersive media. The book is meant for specialists in physics of the ocean, oceanography, geophysics, hydroacoustics.

## Geophysical Fluid Dynamics

Author | : Anonim |

Publsiher | : Anonim |

Total Pages | : 329 |

Release | : 1993 |

ISBN 10 | : |

ISBN 13 | : CHI:53542920 |

Language | : EN, FR, DE, ES & NL |

**Geophysical Fluid Dynamics Book Review:**

## IUTAM Symposium on Hamiltonian Dynamics Vortex Structures Turbulence

Author | : Alexey V. Borisov,Valery V. Kozlov,Ivan S. Mamaev,Mikhail A. Sokolovskiy |

Publsiher | : Springer Science & Business Media |

Total Pages | : 501 |

Release | : 2007-12-22 |

ISBN 10 | : 1402067445 |

ISBN 13 | : 9781402067440 |

Language | : EN, FR, DE, ES & NL |

**IUTAM Symposium on Hamiltonian Dynamics Vortex Structures Turbulence Book Review:**

This work brings together previously unpublished notes contributed by participants of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow, 25-30 August 2006). The study of vortex motion is of great interest to fluid and gas dynamics: since all real flows are vortical in nature, applications of the vortex theory are extremely diverse, many of them (e.g. aircraft dynamics, atmospheric and ocean phenomena) being especially important.

## Oceanic Abstracts

Author | : Anonim |

Publsiher | : Anonim |

Total Pages | : 329 |

Release | : 1997 |

ISBN 10 | : |

ISBN 13 | : UVA:X006072914 |

Language | : EN, FR, DE, ES & NL |

**Oceanic Abstracts Book Review:**

## STUDYING NONLINEAR EQUATORIAL DYNAMICS WITH A SPECTRAL ELEMENT SHALLOW WATER EQUATION MODEL AND INTERNAL GRAVITY WAVE GUIDE IN BOUNDARY CURRENT

Author | : Hong Ma |

Publsiher | : Anonim |

Total Pages | : 226 |

Release | : 1991 |

ISBN 10 | : |

ISBN 13 | : UOM:39015021909133 |

Language | : EN, FR, DE, ES & NL |

**STUDYING NONLINEAR EQUATORIAL DYNAMICS WITH A SPECTRAL ELEMENT SHALLOW WATER EQUATION MODEL AND INTERNAL GRAVITY WAVE GUIDE IN BOUNDARY CURRENT Book Review:**

following and against the mean current. In the northern hemisphere, the northward propagating waves are more likely to be observed in the vicinities of the coastal area, while the southward propagating waves tend to be trapped in the wave guides which are farther away from the eastern boundary.

## Nonlinear Waves in Fluids Recent Advances and Modern Applications

Author | : Roger Grimshaw |

Publsiher | : Springer Science & Business Media |

Total Pages | : 196 |

Release | : 2007-03-23 |

ISBN 10 | : 3211380256 |

ISBN 13 | : 9783211380253 |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Waves in Fluids Recent Advances and Modern Applications Book Review:**

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.