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Journal Articles Quarterly Journal of the Royal Meteorological Society Year : 2018

Large scale flows under location uncertainty: a consistent stochastic framework

Abstract

Using a classical example, the Lorenz-63 model, an original stochastic framework is applied to represent large-scale geophysical flow dynamics. Rigorously derived from a reformulated material derivative, the proposed framework encompasses several meaningful mechanisms to model geophysical flows. The slightly compressible setup , as treated in the Boussinesq approximation, brings up a stochastic transport equation for the density and other related thermo-dynamical variables. Coupled to the momentum equation through a forcing term, a resulting stochastic Lorenz-63 model is consistently derived. Based on such a reformulated model, the pertinence of this large-scale stochastic approach is demonstrated over classical eddy-viscosity based large-scale representations.
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Dates and versions

hal-01629898 , version 1 (06-11-2017)

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Cite

Bertrand Chapron, Pierre Dérian, Etienne Mémin, Valentin Resseguier. Large scale flows under location uncertainty: a consistent stochastic framework. Quarterly Journal of the Royal Meteorological Society, 2018, 144 (710), pp.251-260. ⟨10.1002/qj.3198⟩. ⟨hal-01629898⟩
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