IUTAM Symposium on Turbulence in the Atmosphere and Oceans

1. Front Matter

   Pages I-XXI

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2. Waves and Imbalance

   1. Front Matter

      Pages 1-1

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   2. On spontaneous imbalance and ocean turbulence: generalizations of the Paparella–Young epsilon theorem

      • Michael E. McIntyre

      Pages 3-15

   3. Inertia-gravity-wave generation: a geometric-optics approach

      • J. M. Aspden, J. Vanneste

      Pages 17-26

   4. Parallels between stratification and rotation in hydrodynamics, and between both of them and external magnetic field in magnetohydrodynamics, with applications to nonlinear waves

      • S. Medvedev, V. Zeitlin

      Pages 27-37

   5. Generation of an internal tide by surface tide/eddy resonant interactions

      • M.-P. Lelong, E. Kunze

      Pages 39-50

   6. Generation of harmonics and sub-harmonics from an internal tide in a uniformly stratified fluid: numerical and laboratory experiments

      • Ivane Pairaud, Chantal Staquet, Joël Sommeria, Mahdi M. Mahdizadeh

      Pages 51-62

   7. Deep ocean mixing by near-inertial waves

      • Victor I. Shrira, William A. Townsend

      Pages 63-73

3. Turbulence and Convection

   1. Front Matter

      Pages 75-75

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   2. Eddies and Circulation: Lessons from Oceans and the GFD Lab

      • Peter B. Rhines

      Pages 77-94

   3. Observations on Rapidly Rotating Turbulence

      • P. A. Davidson, P. J. Staplehurst, S. B. Dalziel

      Pages 95-104

   4. Equilibration of Inertial Instability in Rotating Flow

      • Daan D. J. A. van Sommeren, George F. Carnevale, Rudolf C. Kloosterziel, Paolo Orlandi

      Pages 105-115

   5. Quasigeostrophic and stratified turbulence in the atmosphere

      • Peter Bartello

      Pages 117-130

   6. A Perspective on Submesoscale Geophysical Turbulence

      • James C. McWilliams

      Pages 131-141

   7. Spectra and Distribution Functions of Stably Stratified Turbulence

      • Jackson R. Herring, Yoshifumi Kimura

      Pages 143-154

   8. Modeling mixing in two-dimensional turbulence and stratified fluids

      • Antoine Venaille, Joel Sommeria

      Pages 155-167

   9. The solar tachocline: a study in stably stratified MHD turbulence

      • Steven Tobias

      Pages 169-179

   10. Some Unusual Properties of Turbulent Convection and Dynamos in Rotating Spherical Shells

       • F. H. Busse, R. D. Simitev

       Pages 181-194

4. Instability and Vortex Dynamics

   1. Front Matter

      Pages 195-195

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   2. Zigzag instability of the Kármán vortex street in stratified and rotating fluids

      • Axel Deloncle, Paul Billant, Jean-Marc Chomaz

      Pages 197-206

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.

• Dynamics
• Ocean
• Scale
• Tide
• algorithms
• atmosphere
• convection
• magnetohydrodynamics
• modeling
• spheric
• fluid- and aerodynamics

• Dept. Mathematics, University of St. Andrews, St. Andrews, Fife, United Kingdom

  David Dritschel

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