Geophysical flows under location uncertainty,Part I Random transport and general models |
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| Authors: | V Resseguier E Mémin B Chapron |
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| Institution: | 1. Fluminance group, Inria/IRMAR/irstea, Rennes Cedex, France.;2. LOPS, Ifremer, Plouzané, France.;3. LOPS, Ifremer, Plouzané, France. |
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| 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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| Keywords: | Stochastic flows uncertainty quantification ensemble forecasts upper ocean dynamics |
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