a1 Center for Atmosphere Ocean Science at the Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA
a2 Department of Environmental Earth System Science, Stanford University, CA 94305, USA
Simple stochastic models and direct nonlinear numerical simulations of three-dimensional internal waves are combined in order to understand the strong horizontal particle dispersion at second-order in wave amplitude that arises when small-amplitude internal waves are exposed to weak dissipation. This is contrasted with the well-known results for perfectly inviscid internal waves, in which such dispersion arises only at fourth-order in wave amplitude.
(Received December 22 2012)
(Revised January 25 2013)
(Accepted January 30 2013)