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IMA Workshop
Dynamical Systems Techniques in Oceanography: Chaotic Advection in Ocean Mesoscale Structure
May 7 - 9, 1998

Organizer: Chris Jones

Assessing the transport of fluid across such ocean structures as the Gulf Stream, and the exchange of fluid between its constituent parts, is essential for a clear understanding of the distribution of fluid properties, such as temperature and salinity in the Ocean. There have been significant advances recently in applying the techniques of dynamical systems to numerical models and assessing the significance of the fluid exchange resulting from the mechanism known as "chaotic advection." A major hurdle has been overcome in adapting the techniques previously developed for periodic systems to aperiodic flows. However, to make effective applications to realistic flows, and in particular numerical models of real ocean situations, further devlopment is needed as the output of the models extends over only finite times. An efficient operational strategy for determining the extent of chaotic mixing in realistic models promises important applications in both oceanography and atmospheric sciences. A key to this development is a close working relationship between applied dynamicists and oceanographers. This workshop brought together researchers from both areas and provided an opportunity to share the recent advances in the different fields; it also provided a forum for setting an agenda for future activity.

Partially supported by the Office of Naval Research.

Click on the titles to find abstracts and/or links to presentation materials

W. Miller, F. Dulles,
C. Jones
Welcome and Orientation
P. Miller & L. Pratt,
Stevens Institute of Technology & Woods Hole Oceanographic Institute (respectively)
Transport and Stirring in Meandering Jets and Recirculations
Roger Samelson,
COAS Oregon State University
Quasi-geostrophic instabilities of planetary geostrophic circulation
Andrew Majda,
Courant Institute--NYU
Mesoscale Coherent Structure and Crude Closure via Statistical Theories
IMA Tea  
Goeffrey Vallis,
University of California Santa Cruz
Geostrophic Turbulence and Predictability in an Oceanic Setting
Igor Mezic,
University of California Santa Barbara
Mixing in Three-Dimensional Flows
James McWilliams,
Material Transport and Mixing by Coherent Spatial Patterns in Wind-Driven Gyres
Chad Couliette,
California Institute of Technology
A Dynamical Systems Approach to Lagrangian Transport in a Double-Gyre
Workshop Dinner  
Gregory Haller & Andrew Poje,
Brown University
Finite-time Mixing Theory and its Applications
Darryl Holm,
Los Alamos National Lab
Reduced Models for the Ocean's `Climate'
Shouhong Wang,
Indiana University
Structure analysis of two-dimensional incompressible flows and applications to the double gyre ocean circulation

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1997-1998 Emerging Applications of Dynamical Systems