Geophysical flows under location uncertainty, Part I Random transport and general models
|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|
|WOS© Times Cited||46|
|Keyword(s)||Stochastic flows, uncertainty quantification, ensemble forecasts, upper ocean dynamics|
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.