Nonlinear Dynamics of Rotating Shallow Water Methods and Advances

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)

Produk Detail:

  • Author : Anonim
  • Publisher : Elsevier
  • Pages : 400 pages
  • ISBN : 9780080489469
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKNonlinear Dynamics of Rotating Shallow Water Methods and Advances

Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances

Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances
  • Author : Anonim
  • Publisher : Elsevier
  • Release : 03 April 2007
GET THIS BOOKNonlinear Dynamics of Rotating Shallow Water: Methods and Advances

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)

Fronts, Waves and Vortices in Geophysical Flows

Fronts, Waves and Vortices in Geophysical Flows
  • Author : Jan-Bert Flor
  • Publisher : Springer
  • Release : 01 June 2010
GET THIS BOOKFronts, Waves and Vortices in Geophysical Flows

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

Geophysical Fluid Dynamics

Geophysical Fluid Dynamics
  • Author : Vladimir Zeitlin
  • Publisher : Oxford University Press
  • Release : 15 February 2018
GET THIS BOOKGeophysical Fluid Dynamics

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