Stochastic effects of waves on currents in the ocean mixed layer
- 1 July 2021
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 62 (7), 073102
- https://doi.org/10.1063/5.0045010
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 based on decomposing the Eulerian solutions of the energy-conserving SFLT model into sums of their expectations and fluctuations.Funding Information
- H2020 European Research Council (856408)
- Engineering and Physical Sciences Research Council (EP/R513052/1)
This publication has 56 references indexed in Scilit:
- Stochastic variational integratorsIMA Journal of Numerical Analysis, 2008
- Random-forcing model of the mesoscale oceanic eddiesJournal of Fluid Mechanics, 2005
- LANGMUIR CIRCULATIONAnnual Review of Fluid Mechanics, 2004
- Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamicsChaos: An Interdisciplinary Journal of Nonlinear Science, 2002
- The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum TheoriesAdvances in Mathematics, 1998
- Stochastic backscatter in a subgrid-scale model: Plane shear mixing layerPhysics of Fluids A: Fluid Dynamics, 1990
- Nonlinear stability of fluid and plasma equilibriaPhysics Reports, 1985
- THE FORM AND DYNAMICS OF LANGMUIR CIRCULATIONSAnnual Review of Fluid Mechanics, 1983
- An exact theory of nonlinear waves on a Lagrangian-mean flowJournal of Fluid Mechanics, 1978
- Conservation of action and modal wave actionProceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 1970