Geophysical flows under location uncertainty, Part I Random transport and general models
Type | Article | ||||||||||||
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Date | 2017 | ||||||||||||
Language | English | ||||||||||||
Author(s) | Resseguier Valentin1, 2, Memin E.1, Chapron Bertrand![]() |
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Affiliation(s) | 1 : Irstea, IRMAR, Inria, Fluminance Grp, Rennes, France. 2 : IFREMER, LOPS, Plouzane, France. |
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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 | 49 | ||||||||||||
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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