Parametrized Multiscale Momentum Exchanges between Waves, Currents, and Whitecapping

Thursday, April 14, 2011 - 10:15am - 11:15am
Keller 3-180
Juan Restrepo (University of Arizona)
The challenge of producing practical models that accurately capture the interaction of waves and currents
is primarily a problem of the enormous spatio-temporal scales: on the Continental Shelf, we require capturing
dynamics that span seconds to seasons, and spatial structures spanning meters to basins. Using filtering
and asymptotics we have been able to develop a comprehensive model for waves and currents, that capture
the conservative portion of the dynamics.

An important source of momentum exchanges between waves and currents are breaking events. These
whitecapping events are short-lived yet not ignorable even on the very largest of spatio-temporal scales.
We have developed a stochastic parametrization that models breaking events as sources of uncertainty in
the Lagrangian paths of fluid parcels. Application of the projection to the Eulerian frame along with filtering
yields their contribution to the dynamics of waves and currents.
MSC Code: