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Wave-current interaction on a free surface
Dan Crisan, Darryl D. Holm, Oliver D. Street
The classic evolution equations for potential flow on the free surface of a fluid flow are not closed because the pressure and the vertical velocity dynamics are not specified on t…
Stochastic effects of waves on currents in the ocean mixed layer
Darryl D. Holm, Ruiao Hu
This paper introduces an energy-preserving stochastic model for studying wave effects on currents in the ocean mixing layer. The model is called stochastic forcing by Lie transport…
Stochastic mesoscale circulation dynamics in the thermal ocean
Darryl D. Holm, Erwin Luesink, Wei Pan
In analogy with similar effects in adiabatic compressible fluid dynamics, the effects of buoyancy gradients on incompressible stratified flows are said to be `thermal'. The thermal…
Stochastic Variational Formulations of Fluid Wave-Current Interaction
Darryl D Holm
We are modelling multi-scale, multi-physics uncertainty in wave-current interaction (WCI). To model uncertainty in WCI, we introduce stochasticity into the wave dynamics of two cla…