Applied and Interdisciplinary Mathematics Seminar

University of Michigan

Fall 2010
Friday, November 5, 3:10-4:00pm, 1084 East Hall

On Two-Dimensional Turbulence and Oceanic Mesoscale Eddies

Brian Arbic

Department of Geological Sciences, University of Michigan


Abstract

Following introductions to the field of physical oceanography and to the governing equations for oceanographic flows, we describe the inverse energy cascade of two-dimensional turbulence and observational evidence for the existence of this cascade in the oceanic mesoscale eddy field. We discuss numerical results suggesting that bottom friction plays an important role in arresting the inverse cascade in the ocean --- i.e. in preventing it from becoming fully developed. We also discuss numerical results suggesting that bottom friction plays an important role in the oceanic energy budget. We conclude by describing funded projects for graduate students; to extend the above results with more realistic models.