عنوان

Nonlinear dynamics of rotating shallow water :

(Number (ISBN

008048946X

(Number (ISBN

0444522581

(Number (ISBN

9780080489469

(Number (ISBN

9780444522580

Number

b743942

Title Proper

Nonlinear dynamics of rotating shallow water :

General Material Designation

[Book]

Other Title Information

methods and advances /

First Statement of Responsibility

edited by V. Zeitlin.

Edition Statement

1st ed.

Place of Publication, Distribution, etc.

Amsterdam :

Name of Publisher, Distributor, etc.

Elsevier Science Ltd.,

Date of Publication, Distribution, etc.

2007.

Specific Material Designation and Extent of Item

1 online resource (viii, 391 pages) :

Other Physical Details

illustrations (some color).

Series Title

Edited series on advances in nonlinear science and complexity,

Volume Designation

v. 2

ISSN of Series

1574-6909 ;

Text of Note

Included bibliographical references and indexes.

Text of Note

Preface -- 1. V. Zeitlin, Introduction: fundamentals of rotating shallow water model in the geophysical fluid dynamics perspective -- 2. G. Reznik and V. Zeitlin, Asymptotic methods with applications to the fast-slow splitting and the geostrophic adjustment -- 3. S. Medvedev, The method of normal forms and fast-slow splitting -- 4. F. Bouchut, Efficient numerical finite-volume schemes for shallow-water models -- 5. V. Zeitlin, Nonlinear wave phenomena in rotating shallow water with applications to geostrophic adjustment -- 6. A. Stegner, Experimental reality of geostrophic adjustment.

0

Text of Note

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).

Source for Acquisition/Subscription Address

Elsevier Science & Technology

Stock Number

132422:132530

Title

Nonlinear dynamics of rotating shallow water.

International Standard Book Number

0444522581

Fluid dynamics.

Fluid dynamics.

SCIENCE-- Mechanics-- Fluids.

SCI-- 085000

Number

Edition

Class number

Book number

Zeitlin, V., (Vladimir)

Date of Transaction

20201204042509.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y