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Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances

Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2007-04-03
  • Total pages :400
  • ISBN : 008048946X
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Summary : 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 :Unknown
  • Release Date :2010-06-01
  • Total pages :192
  • ISBN : 9783642115875
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Summary : 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.

Nonlinear Topics in Ocean Physics

Nonlinear Topics in Ocean Physics
  • Author : A. R. Osborne,Società italiana di fisica
  • Publisher :Unknown
  • Release Date :1991
  • Total pages :996
  • ISBN : UVA:X001972606
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Summary : 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

Geophysical Fluid Dynamics
  • Author : Vladimir Zeitlin
  • Publisher :Unknown
  • Release Date :2018-02-15
  • Total pages :512
  • ISBN : 9780198804338
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Summary : 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.

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws

Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws
  • Author : François Bouchut
  • Publisher :Unknown
  • Release Date :2004-06-25
  • Total pages :134
  • ISBN : 3764366656
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Summary : The schemes are analyzed regarding their nonlinear stability Recently developed entropy schemes are presented A formalism is introduced for source terms

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
  • Total pages :229
  • ISBN : UVA:X001997237
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Summary :

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

Proceedings of the International School of Physics 'Enrico Fermi'.
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1991
  • Total pages :229
  • ISBN : UCAL:B5157841
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Summary :

Physics Briefs

Physics Briefs
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1993
  • Total pages :229
  • ISBN : UOM:39015027463168
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Summary :

Oceanic Abstracts

Oceanic Abstracts
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1997
  • Total pages :229
  • ISBN : UVA:X006072914
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Summary :

Systems of Conservation Laws 2

Systems of Conservation Laws 2
  • Author : Denis Serre
  • Publisher :Unknown
  • Release Date :1999
  • Total pages :269
  • ISBN : 0521633303
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Summary : A graduate text on mathematical theory of conservation laws and partial differential equations.

Mathematical Reviews

Mathematical Reviews
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2003
  • Total pages :229
  • ISBN : UVA:X006180632
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Summary :

Soviet Journal of Plasma Physics

Soviet Journal of Plasma Physics
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1989
  • Total pages :229
  • ISBN : UCSD:31822023363161
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Summary :

Advances in Finite Element Analysis in Fluid Dynamics

Advances in Finite Element Analysis in Fluid Dynamics
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1993
  • Total pages :229
  • ISBN : UOM:39015009119119
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Summary :

International Aerospace Abstracts

International Aerospace Abstracts
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1999
  • Total pages :229
  • ISBN : STANFORD:36105021811380
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Summary :

Geometrical Theory of Dynamical Systems and Fluid Flows (revised Edition)

Geometrical Theory of Dynamical Systems and Fluid Flows (revised Edition)
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2009
  • Total pages :444
  • ISBN : 9789814282253
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Summary :

Il Nuovo Cimento Della Società Italiana Di Fisica

Il Nuovo Cimento Della Società Italiana Di Fisica
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1999
  • Total pages :229
  • ISBN : CHI:53119654
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Summary :

Izvestiya

Izvestiya
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2006
  • Total pages :229
  • ISBN : CHI:81510749
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Summary :

Dissertation Abstracts International

Dissertation Abstracts International
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2007
  • Total pages :229
  • ISBN : STANFORD:36105123442555
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Summary :

BMT Abstracts

BMT Abstracts
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :1989
  • Total pages :229
  • ISBN : UOM:39015023323424
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Summary :

Short- and Medium-Range Numerical Weather Prediction

Short- and Medium-Range Numerical Weather Prediction
  • Author : Matsuno, T.
  • Publisher :Unknown
  • Release Date :1987
  • Total pages :831
  • ISBN : UOM:39015021871531
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Summary :

Chinese Journal of Oceanology and Limnology

Chinese Journal of Oceanology and Limnology
  • Author : Anonim
  • Publisher :Unknown
  • Release Date :2005
  • Total pages :229
  • ISBN : UCSD:31822009515610
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Summary :