This collection derives mainly from work discussed at the “Ocean Turbulence Conference” that took place in Santa Fe, NM in June of 2013. The point of the conference was to bring together the ocean turbulence community with the mathematics community to discuss questions of understanding and modeling the world oceans. Some of the topics include the following questions: Mixing in the ocean seems to play a central role, but is this a consequence of turbulence? And is mixing truly important, or is the ocean interior adiabatic at first order? Is the concept of an ‘eddy diffusivity’ still useful? How does energy pass through the system from the large scales to the small scale? Are mesoscale eddies genuinely turbulent, and what is their relation to mixing and to the small scales, if any? Finally, what can we learn from looking at the mathematical properties of the fluid equations? Can the mathematical structure help us in understanding the dynamics or building parameterizations? Though the answers to these questions are ongoing, papers in this collection span key ideas that come from observations, experiments, modeling, and mathematics.
Beth A. Wingate,* Los Alamos National Laboratory
Geoffrey K. Vallis,* Princeton University
*Current Affiliation: University of Exeter, Department of Mathematics and Computer Science, Exeter, Devon, UK