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Journal Articles Geophysical and Astrophysical Fluid Dynamics Year : 2017

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

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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Dates and versions

hal-01391420 , version 1 (03-11-2016)
hal-01391420 , version 2 (04-11-2016)
hal-01391420 , version 3 (10-03-2017)

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Valentin Resseguier, Etienne Mémin, Bertrand Chapron. Geophysical flows under location uncertainty, Part I Random transport and general models. Geophysical and Astrophysical Fluid Dynamics, 2017, 111 (3), pp.149-176. ⟨10.1080/03091929.2017.1310210⟩. ⟨hal-01391420v3⟩
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