# 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.

## Rotating Shallow Water

Author | : Alana McKenzie |

Publsiher | : Unknown |

Total Pages | : 168 |

Release | : 2007 |

ISBN 10 | : |

ISBN 13 | : OCLC:793011721 |

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

**Rotating Shallow Water Book Review:**

Rotating shallow water is traditionally the first model encountered in the study of geophysical fluid dynamics. Its simplicity and applicability at large scales make it a favourable starting point for understanding midlatitude atmospheric behaviour. The linearized model reveals two principal dynamical features - fast time-scale wave disturbances, and slow time-scale balanced flow. Textbook analysis typically includes linear wave properties, and the leading order balanced dynamics of quasigeostrophy. We seek to further understand the successes and limitations of rotating shallow water in modelling geophysical fluid dynamics. In this study, nonlinear wave dynamics are restricted to uniform potential vorticity. This reduced set of equations enables the computational analysis of nonlinear waves, devoid of balanced dynamics. Additionally, balanced dynamics are investigated beyond quasigeostrophy to include small Rossby number corrections. As anticipated, an asymmetry between cyclone and anticyclone vortices emerges; the biases are consistent with similar models, and contradict atmospheric behaviour.

## Nonlinear Topics in Ocean Physics

Author | : A. R. Osborne,Società italiana di fisica |

Publsiher | : North Holland |

Total Pages | : 996 |

Release | : 1991 |

ISBN 10 | : |

ISBN 13 | : UVA:X001972606 |

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.

## 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.

## Physics Briefs

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1993 |

ISBN 10 | : |

ISBN 13 | : UOM:39015027463168 |

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

**Physics Briefs Book Review:**

## Proceedings of the International School of Physics Enrico Fermi

Author | : Anonim |

Publsiher | : Unknown |

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:**

## Nonlinear Ocean Dynamics

Author | : Maged Marghany |

Publsiher | : Elsevier |

Total Pages | : 462 |

Release | : 2021-02-25 |

ISBN 10 | : 0128209259 |

ISBN 13 | : 9780128209257 |

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

**Nonlinear Ocean Dynamics Book Review:**

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

## Oceanic Abstracts

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1997 |

ISBN 10 | : |

ISBN 13 | : UVA:X006072914 |

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

**Oceanic Abstracts Book Review:**

## Geophysical Fluid Dynamics

Author | : Vladimir Zeitlin |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2018 |

ISBN 10 | : |

ISBN 13 | : OCLC:1226674529 |

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

**Geophysical Fluid Dynamics Book Review:**

The book explains the key notions and fundamental processes in the dynamics of the fluid envelopes of the Earth (transposable to other planets), and methods of their analysis, from the unifying viewpoint of rotating shallow-water model (RSW). The model, in its one- or two-layer versions, plays a distinguished role in geophysical fluid dynamics, having been used for around a century for conceptual understanding of various phenomena, for elaboration of approaches and methods, to be applied later in more complete models, for development and testing of numerical codes and schemes of data assimilations, and many other purposes. Principles of modelling of large-scale atmospheric and oceanic flows, and corresponding approximations, are explained and it is shown how single- and multi-layer versions of RSW arise from the primitive equations by vertical averaging, and how further time-averaging produces celebrated quasi-geostrophic reductions of the model. Key concepts of geophysical fluid dynamics are exposed and interpreted in RSW terms, and fundamentals of vortex and wave dynamics are explained in Part 1 of the book, which is supplied with exercises and can be used as a textbook. Solutions of the problems are available at Editorial Office by request. In-depth treatment of dynamical processes, with special accent on the primordial process of geostrophic adjustment, on instabilities in geophysical flows, vortex and wave turbulence and on nonlinear wave interactions follows in Part 2. Recently arisen new approaches in, and applications of RSW, including moist-convective processes constitute Part 3.

## Rossby Vortices Spiral Structures Solitons

Author | : Mikhail V. Nezlin,Evgenii N. Snezhkin |

Publsiher | : Springer Science & Business Media |

Total Pages | : 223 |

Release | : 2013-11-11 |

ISBN 10 | : 364288122X |

ISBN 13 | : 9783642881220 |

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

**Rossby Vortices Spiral Structures Solitons Book Review:**

This book can be looked upon in more ways than one. On the one hand, it describes strikingly interesting and lucid hydrodynamic experiments done in the style of the "good old days" when the physicist needed little more than a piece of string and some sealing wax. On the other hand, it demonstrates how a profound physical analogy can help to get a synoptic view on a broad range of nonlinear phenomena involving self-organization of vortical structures in planetary atmo spheres and oceans, in galaxies and in plasmas. In particular, this approach has elucidated the nature and the mechanism of such grand phenomena as the Great of galaxies. A number of our Red Spot vortex on Jupiter and the spiral arms predictions concerning the dynamics of spiral galaxies are now being confirmed by astronomical observations stimulated by our experiments. This book is based on the material most of which was accumulated during 1981-88 in close cooperation with our colleagues, experimenters from the Plasma Physics Department of the Kurchatov Atomic Energy Institute (S. V. Antipov, A. S. Trubnikov, AYu. Rylov, AV. Khutoretsky) and astrophysics theoreticians from the Astronomical Council of the USSR Academy of Sciences (AM. Frid man) and from the Volgograd State University (AG. Morozov). To all of them we wish to express our gratitude. Whenever we speak of "our experiments", the participation of the entire team is implied.

## Mathematical Reviews

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2007 |

ISBN 10 | : |

ISBN 13 | : UOM:39015076649881 |

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

**Mathematical Reviews Book Review:**

## Soviet Journal of Plasma Physics

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1989 |

ISBN 10 | : |

ISBN 13 | : UCSD:31822023363161 |

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

**Soviet Journal of Plasma Physics Book Review:**

## Short and Medium Range Numerical Weather Prediction

Author | : Matsuno, T. |

Publsiher | : Unknown |

Total Pages | : 831 |

Release | : 1987 |

ISBN 10 | : |

ISBN 13 | : UOM:39015021871531 |

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

**Short and Medium Range Numerical Weather Prediction Book Review:**

## Chinese Journal of Oceanology and Limnology

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 2005 |

ISBN 10 | : |

ISBN 13 | : UCSD:31822009515610 |

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

**Chinese Journal of Oceanology and Limnology Book Review:**

## 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:**

## Proceedings of the Heat Transfer and Fluid Mechanics Institute

Author | : Heat Transfer and Fluid Mechanics Institute |

Publsiher | : Unknown |

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:**

## Geophysical Fluid Dynamics

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 329 |

Release | : 1993 |

ISBN 10 | : |

ISBN 13 | : CHI:53542920 |

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

**Geophysical Fluid Dynamics Book Review:**