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

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 st...

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Bibliographic Details
Published in:Geophysical and astrophysical fluid dynamics 2017-05, Vol.111 (3), p.149-176
Main Authors: Resseguier, V., Mémin, E., Chapron, B.
Format: Article
Language:English
Subjects:
Atmospheric and Oceanic Physics
Computational fluid dynamics
Dye dispersion
Dynamics
Energy
Energy conservation
Engineering Sciences
ensemble forecasts
Fluid dynamics
Fluid mechanics
Geophysics
Mechanics
Physics
Representations
Signal and Image processing
Stochastic flows
Stochastic processes
Transport
uncertainty quantification
upper ocean dynamics
Velocity
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Summary: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.
ISSN:0309-1929
1029-0419
DOI:10.1080/03091929.2017.1310210