Stochastic effects of waves on currents in the ocean mixed layer
File(s)
Accepted version
Author(s)
Holm, Darryl D
Hu, Ruiao
Type
Journal Article
Abstract
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.
Date Issued
2021-07-01
Date Acceptance
2021-06-14
Citation
Journal of Mathematical Physics, 2021, 62 (7)
ISSN
0022-2488
Publisher
American Institute of Physics
Journal / Book Title
Journal of Mathematical Physics
Volume
62
Issue
7
Copyright Statement
© 2021 Author(s). Published under an exclusive license by AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics and may be found at https://aip.scitation.org/doi/10.1063/5.0045010
Identifier
http://arxiv.org/abs/2011.12094v4
Subjects
physics.flu-dyn
physics.flu-dyn
math.DS
Notes
33 pages, no figures, 4th version, comments welcome by email
Publication Status
Published
Article Number
ARTN 073102
Date Publish Online
2021-07-01