Geophysical flows under location uncertainty, Part I Random transport and general models
Geophysics
2017-05-31 v3 Classical Physics
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.
Cite
@article{arxiv.1611.02572,
title = {Geophysical flows under location uncertainty, Part I Random transport and general models},
author = {Valentin Resseguier and Etienne Mémin and Bertrand Chapron},
journal= {arXiv preprint arXiv:1611.02572},
year = {2017}
}