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Large-scale flows under location uncertainty: a consistent stochastic framework
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DOI：10.1002/qj.3198.png)
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摘要
En 中文
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 set-up, as treated in the Boussinesq approximation, yields a stochastic transport equation for the density and other related thermodynamical variables. Coupled to the momentum equation through a forcing term, the resulting stochastic Lorenz-63 model is derived consistently. Based on such a reformulated model, the pertinence of this large-scale stochastic approach is demonstrated over classical eddy-viscosity based large-scale representations.
Keyword:
large-scale flow modelling
stochastic parametrization
modelling under location uncertainty
stochastic Lorenz model
stochastic transport
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