Geophysical flows under location uncertainty, Part I Random transport and general models

Type Article
Date 2017
Language English
Author(s) Resseguier Valentin1, 2, Memin E.1, Chapron Bertrand2
Affiliation(s) 1 : Irstea, IRMAR, Inria, Fluminance Grp, Rennes, France.
2 : IFREMER, LOPS, Plouzane, France.
Source Geophysical And Astrophysical Fluid Dynamics (0309-1929) (Taylor & Francis Ltd), 2017 , Vol. 111 , N. 3 , P. 149-176
DOI 10.1080/03091929.2017.1310210
WOS© Times Cited 11
Keyword(s) Stochastic flows, uncertainty quantification, ensemble forecasts, upper ocean dynamics
Abstract

A stochastic flow representation is considered with the Eulerian velocity decomposed between a smooth large scale component and a rough small-scale turbulent component. The latter is specified as a random field uncorrelated in time. Subsequently, the material derivative is modified and leads to a stochastic version of the material derivative to include a drift correction, an inhomogeneous and anisotropic diffusion, and a multiplicative noise. As derived, this stochastic transport exhibits a remarkable energy conservation property for any realizations. As demonstrated, this pivotal operator further provides elegant means to derive stochastic formulations of classical representations of geophysical flow dynamics.

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