Geophysical flows under location uncertainty, Part I Random transport and general models. Issue 3 (4th May 2017)

• Record Type: Journal Article
• Authors: Resseguier, V.; Mémin, E.; Chapron, B.
• Is Part Of: Geophysical and astrophysical fluid dynamics. Volume 111:Issue 3(2017)
• Page Start: 149
• Page End: 176
• Publication Date: 2017-05-04
• Subjects: Stochastic flows -- uncertainty quantification -- ensemble forecasts -- upper ocean dynamics; Fluid dynamics -- Periodicals; Astrophysics -- Periodicals; Geophysics -- Periodicals; 551
• DOI: 10.1080/03091929.2017.1310210
• Languages: English
• ISSNs: 0309-1929

Abstract

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.