IUTAM Symposium on Turbulence in the Atmosphere and Oceans

This book stems from the IUTAM symposium "Rotating Stratified Turbulence and Turbulence in the Atmosphere and Oceans" which took place at the Isaac Newton Institute for Mathematical Sciences in Cambridge from 8 to 12 December 2008, and came at the end of a four-month Programme on "High Reynolds Number Turbulence".

This symposium, widely attended by researchers from around the world, aimed to better understand the complex nature of fluid flows found in Nature, particularly in the Earth's atmosphere and oceans, but also in other planetary atmospheres and in the Sun's interior. Talks covered a broad range of subjects, from theoretical studies of fundamental vortex interactions, to laboratory experiments and observations, and to state-of-the-art computational studies.

The present volume presents a cross-section of the research presented at the symposium, or in some cases, of the research inspired by it. Herein, 23 peer-reviewed papers are collected (39 talks were presented). The research is loosely divided into four main topics: (1) Waves and Imbalance, (2) Turbulence and Convection, (3) Instability and Vortex Dynamics, and (4) Jets: Formation and Structure.

Texte du rabat

This book stems from the IUTAM symposium Rotating Stratified Turbulence and Turbulence in the Atmosphere and Oceans which took place at the Isaac Newton Institute for Mathematical Sciences in Cambridge from 8 to 12 December 2008, and came at the end of a four-month Programme on High Reynolds Number Turbulence.

This symposium, widely attended by researchers from around the world, aimed to better understand the complex nature of fluid flows found in Nature, particularly in the Earth's atmosphere and oceans, but also in other planetary atmospheres and in the Sun's interior. Talks covered a broad range of subjects, from theoretical studies of fundamental vortex interactions, to laboratory experiments and observations, and to state-of-the-art computational studies.

The present volume presents a cross-section of the research presented at the symposium, or in some cases, of the research inspired by it. Herein, 23 peer-reviewed papers are collected (39 talks were presented). The research is loosely divided into four main topics: (1) Waves and Imbalance, (2) Turbulence and Convection, (3) Instability and Vortex Dynamics, and (4) Jets: Formation and Structure.

Résumé
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.

Contenu

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.