Search

Also published as: Journal of Geophysical Research 85 (1980): 6661-6666, Imposed horizontal density differences in a nonrotating fluid generate vertical circulation which has vanishing vertically integrated transports. When the system is rotating, geostrophic velocities can balance the density differences and the vertically integrated transports need not vanish locally. In a two-layer fluid, fin ite amplitude disturbances lead to barotropic flows that have the same direction as the velocity in the layer that thickens as a result of the disturbance. Specific calculations are carried out for the geostrophic adjustment model in situations that approximate those in which 18° water is formed south of the Gulf Stream. The upper layer transport that results from sudden cooling (as simulated by density differences that are initially unbalanced geostrophically) is in the same direction as the Gulf Stream transport and comparable to it in magnitude. A lower level transport of the same magnitude flows in the opposite direction with a maximum value about an internal radius of deformation to the right of that of the upper layer. The barotropic transport is about 1/ 5 as large and flows downstream in the Gulf Stream and upstream to the right of the Gulf Stream., Prepared for the Office of Naval Research under Contract N00014-79-C-0671 and for the National Science Foundation under Grants OCE 77-19451 and OCE 78-18460.

PRINCIPAL LECTURES. Steve Childress: Dynamo Theory and GFD; Charlie Doering: Convection, Stability and Turbulence; Kerry Emanuel: Waves and Vortices Driven by Interfacial Fluxes; Stephan Fauve: Turbulent Dynamos: experiments, nonlinear saturation of the magnetic field and field reversals; Raffaele Ferrari: Energetics of a Turbulent Ocean; Chris Garrett: Ocean Mixing, Internal Tides and Tidal Power; Herbert Huppert: Gravity Currents and Solidification; John Marshall: GFD Experiments in Climate; Ray Pierrehumbert: Atmospheric Escape; Timour Radko: Double-Diffusive Convection. FELLOWS REPORTS. Sylvain Barbot: Models of volcanic tremor and singing icebergs; Chris Cawthorn: First Contact in a Viscous Fluid; Christophe Gissinger: Energy and dissipation in MHD systems; Celine Guervilly: MHD Toy Model of the Solar Radiative Zone; George Hagstrom: Bounds on Surface Stress Driven Flows; Ian Hewitt: Continual Skipping - Getting a Kick From Water; Malte Jansen: On the Organization of Geostrophic Circulations Over Large Scale Topography by Eddy-Diffusion of PV; Amrita Shravat: Turbulent Mixing in Shear Driven Stratified Fluid; Toby Wood: Crumpling of a Thin Ice Sheet Due to Incident Flow; Yutian Wu: Equilibria of Diffusive Moist Static Energy Balance Model., Lectures presented at Woods Hole Oceanographical Institution from 16 Jun-21 Aug 2008. Sponsored in part by the National Science Foundation Grant no. OCE-0325296. The original document contains color images.

The effect of gravity on fluids of varying density is of fundamental importance in natural flows. This subject formed the topic of concentration for the fourteenth summer program in Geophysical Fluid Dynamics at the Woods Hole Oceanographic Institution. We had the good fortune to hear Stewart Turner lecture on stratified flows just after he had completed the manuscript for his book on the subject. Turner chose to emphasize nonlinear and turbulent aspects of stratified flows and, therefore, had to give up the deductive approach in favor of treatments based on dimensional analysis and similarity arguments. This summary of the many experimental studies of these flows increased our awareness of the fascinating variety of phenomena in which stratification plays so vital a role., Supported by the Division of Fluid Dynamics, Oceanography and Applied Mathematics of the Office of Naval Research.

Originally issued as Reference No. 63-38, series later renamed WHOI-., The program in Geophysical Fluid Dynamics for the summer of 1963 was a program of work, study and discussion and was formally outlined through two courses of lectures - one on the dynamics of rotating fluids, the other, a special lecture series on astrophysics. The twenty-three participants attempted to formulate and analyze tractable problems in geophysics and astrophysics., National Science Foundation under Research Grant NSF GE-15l8

The explosive growth of dynamieal systems theory in the past two decades stems in large part from the realization that it is applicable to many natural phenomena. Indeed, much o f the theoretical development has been sparked by numerical and laboratory experiments which exhibit ordered sequences of behavior that call for a general framework of interpretation We have been fortunate this summer to have had in residence both pioneers and developers of dynamical systems theory and its applications to fluid mechanics. Several recent texts contain the basic principles that Ed Spiegel used as a springboard for five lectures in which he exposed us to elementary examples of bifurcation and chaos, to symmetry breaking, normal forms and temporal and spatial disorder, as well as to pertinent fluid mechanical and astrophysical phenomena. Yves Pomeau continued the development with an elegant summary of different types of intermittency . Stephan Fauve agree to write up his impressive seminars on phase instability and turbulence as an extension of the lecture series. Many of the remaining seminars introduced new concepts in the theory, some with specific examples, others via mathematical development, and still others through ways of interpreting the data that emerge from calculations and experiments. As an outstanding example of this, Albert Libchaber has demonstrated the fascinating correspondence between the frequencies observed in one of his recent fluid mechanics experiments and results from number theory relating the Fibonacci series to the golden mean., Office of Naval Research under contract NO0014-82-6-0079 and the National Science Foundation under Grants MCS-82-000450 and DMS-85-04166.

Four principal lecturers shored the task of presenting the subject "Coherent Features in Geophysical Flows" to the participants of the twenty-second geophysical fluid dynamics summer program. Glenn Flierl introduced the topic and the Kortweg-de Vries equation via a model of finite amplitude motions on the beta plane. He extended the analysis to more complex flows in the ocean and the atmosphere and in the process treated motions of very large amplitude. Larry Redekopp's three lectures summarized an extensive body of the mathematical literature on coherent features. Andrew Ingersoll focussed on the many fascinating features in Jupiter's atmosphere. Joseph Keller supplemented an interesting summary of laboratory observations with suggestive models for treating the flows., Office of Naval Research under Contract N00014-79-C-0671

The GFD Program in 2008 ran with a special theme, in view of the 50th anniversary of the beginning of the program. The first two weeks of Principal Lectures dealt with "Perspectives and Challenges" of the subject, and we commemorated by having ten different lecturers with a diversity of viewpoints and opinions. Though the lectures thereby took less of a pedagogical flavour, each afternoon we saw the fellows grill the lecturers in informal afternoon tutorials. Also by way of celebration, the Oceanographic Institution threw a 50th anniversary party in honour of the Program and the "Founding Fathers." This was held on one of the lawns in front of Walsh Cottage on Friday, June 27th. We saw a variety of familiar faces, some from the very first years of the Program, others from more recent summers. George Veronis and Jack Whitehead read short pieces about the past fifty years, including the unveiling of the "2008 AGU Award for Excellence in Geophysical Education" awarded to the Program by the American Geophysical Union. The party was skillfully organized by Janet Fields and uniformly enjoyed by all. In 2008 the Sears Public Lecture was delivered by Andy Ingersoll (CalTech) and entitled "Weather and Climates of Other Worlds: Lessons for Earth." Andy, a participant of the program for many years, described the insights that could be drawn regarding our own climate from observing those of the other planets in the solar system, observations made particularly clear and compelling by recent space missions. Over a hundred people gathered at Redfield for the lecture, many of whom paused afterwards to enjoy conversation and refreshments at the reception that followed. Other novelties at the 2008 program included Bill Dewar's delivery of a seminar at Walsh in full Scottish regalia, kilt and all. Last, and of course most importantly, we had an industrious group of fellows who rose to the challenge of the Program and contributed tremendously to the anniversary. As always, the WHOI Aca, Funding was provided by the National Science Foundation under grant OCE-0325296 and by the Office of Naval Research, Processes and Prediction Division, Physical Oceanography Program under grant N00014-07-10776

The (Lagrangian) motion of a fluid particle was contrasted with the (Eulerian) flow past a fixed point in space during this twenty-fourth summer program in geophysical fluid dynamics at the Woods Hole Oceanographic Institution., Office of Naval Research under Contract N00014-82-G-0079 and National Science Foundation Grant MCS-82-00450. Partial support from the Center for Analysis of Marine Systems (CAMS) at Woods Hole Oceanographic Institution.

Originally issued as Reference No. 67-54, In former years some of the research and seminars of the WHOI Geophysical Fluid Dynamics program was concerned with determining the interior structure and motions of stars and galaxies. This year we have focused our attention downward rather than upward and have attempted to learn some things about the earth's interior. Freeman Gilbert's lectures on the inverse problem in seismology discuss one aspect of the geophysicist's attempts to infer some things about the earth's interior from the evidence which is available at the surface. Paul Robert presented a survey of the difference attempts to attribute the earth's magnetic field to dynamo action. Willem Malkus, Raymond Hide and Stephen Childress supplemented Roberts' lectures with seminars. As students of our physical environment all of us were entertained and stimulated by this introduction to the netherworld., National Science Foundation

Author Posting. © Sears Foundation for Marine Research, 2005. This article is posted here by permission of Sears Foundation for Marine Research for personal use, not for redistribution. The definitive version was published in Journal of Marine Research 63 (2005): 1-7, doi:10.1357/0022240053693824.