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@article{Holm:2021:10.1063/5.0045010,
author = {Holm, DD and Hu, R},
doi = {10.1063/5.0045010},
journal = {Journal of Mathematical Physics},
title = {Stochastic effects of waves on currents in the ocean mixed layer},
url = {http://dx.doi.org/10.1063/5.0045010},
volume = {62},
year = {2021}
}

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TY  - JOUR
AB  - 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 (SFLT). The SFLT model is derived here from a stochastic constrained variational principle, so it has a Kelvin circulation theorem. The examples of SFLT given here treat 3D Euler fluid flow, rotating shallow water dynamics and the Euler-Boussinesq equations. In each example, one sees the effect of stochastic Stokes drift and material entrainment in the generation of fluid circulation. We also present an Eulerian-averaged SFLT model (EA SFLT), based on decomposing the Eulerian solutions of the energy-conserving SFLT model into sums of their expectations and fluctuations.
AU  - Holm,DD
AU  - Hu,R
DO  - 10.1063/5.0045010
PY  - 2021///
SN  - 0022-2488
TI  - Stochastic effects of waves on currents in the ocean mixed layer
T2  - Journal of Mathematical Physics
UR  - http://dx.doi.org/10.1063/5.0045010
UR  - http://arxiv.org/abs/2011.12094v4
UR  - http://hdl.handle.net/10044/1/89645
VL  - 62
ER  -

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