Overview

The text of the Persian poet Rum ¯ ¯ ?, written some eight centuries ago, and reproduced at the beginning of this book is still relevant to many of our pursuits of knowledge, not least of turbulence. The text illustrates the inability people have in seeing the whole thing, the ‘big picture’. Everybody looks into the problem from his/her vi- point, and that leads to disagreement and controversy. If we could see the whole thing, our understanding would become complete and there would be no cont- versy. The turbulent motion of the atmosphere and oceans, at the heart of the observed general circulation, is undoubtedly very complex and dif?cult to understand in its entirety. Even ‘bare’ turbulence, without rotation and strati?cation whose effects are paramount in the atmosphere and oceans, still poses great fundamental ch- lenges for understanding after a century of research. Rotating strati?ed turbulence is a relatively new research topic. It is also far richer, exhibiting a host of distinct wave types interacting in a complicated and often subtle way with long-lived - herent structures such as jets or currents and vortices. All of this is tied together by basic ?uid-dynamical nonlinearity, and this gives rise to a multitude of phen- ena: spontaneous wave emission, wave-induced transport, both direct and inverse energy scale cascades, lateral and vertical anisotropy, fronts and transport barriers, anomalous transport in coherent vortices, and a very wide range of dynamical and thermodynamical instabilities.

Full Product Details

Author:   David Dritschel
Publisher:   Springer
Imprint:   Springer
Edition:   2010 ed.
Volume:   28
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.492kg
ISBN:  

9789400734593

ISBN 10:   940073459
Pages:   298
Publication Date:   29 January 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Waves and Imbalance.- On spontaneous imbalance and ocean turbulence: generalizations of the Paparella–Young epsilon theorem.- Inertia-gravity-wave generation: a geometric-optics approach.- Parallels between stratification and rotation in hydrodynamics, and between both of them and external magnetic field in magnetohydrodynamics, with applications to nonlinear waves.- Generation of an internal tide by surface tide/eddy resonant interactions.- Generation of harmonics and sub-harmonics from an internal tide in a uniformly stratified fluid: numerical and laboratory experiments.- Deep ocean mixing by near-inertial waves.- Turbulence and Convection.- Eddies and Circulation: Lessons from Oceans and the GFD Lab.- Observations on Rapidly Rotating Turbulence.- Equilibration of Inertial Instability in Rotating Flow.- Quasigeostrophic and stratified turbulence in the atmosphere.- A Perspective on Submesoscale Geophysical Turbulence.- Spectra and Distribution Functions of Stably Stratified Turbulence.- Modeling mixing in two-dimensional turbulence and stratified fluids.- The solar tachocline: a study in stably stratified MHD turbulence.- Some Unusual Properties of Turbulent Convection and Dynamos in Rotating Spherical Shells.- Instability and Vortex Dynamics.- Zigzag instability of the Kármán vortex street in stratified and rotating fluids.- Instabilities of a columnar vortex in a stratified fluid.- Geostrophic vortex alignment in external shear or strain.- Equilibrium States of Quasi-geostrophic Point Vortices.- Jets: Formation and Structure.- The structure of zonal jets in shallow water turbulence on the sphere.- Jet formation in decaying two-dimensional turbulence on a rotating sphere.- Triple cascade behaviour in QG and drift turbulence and generation of zonal jets.- TheHyperCASL algorithm.

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