@misc{49598, type = "Article", year = "2017", title = "Geophysical flows under location uncertainty, Part I Random transport and general models", journal = "Geophysical And Astrophysical Fluid Dynamics", editor = "Taylor & Francis Ltd", volume = "111", number = "3", pages = "149-176", author = "Resseguier Valentin, Memin E., Chapron Bertrand", url = "", organization = "", address = "FRANCE", doi = "https://doi.org/10.1080/03091929.2017.1310210", 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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