4.1 Article

Eddy saturation in a reduced two-level model of the atmosphere

期刊

出版社

TAYLOR & FRANCIS LTD
DOI: 10.1080/03091929.2021.1990912

关键词

Eddy saturation; baroclinic instability; baroclinic adjustment; Phillips' model; frictional adjustment

资金

  1. U.K. Engineering and Physical Sciences Research Council [EP/R513301/1]
  2. EPSRC [EP/T018178/1]
  3. EU Horizon 2020 project Tipping Points in the Earth System (TiPES) [820970]
  4. EPSRC [EP/T018178/1] Funding Source: UKRI

向作者/读者索取更多资源

The study highlights the nonlinear mechanism of eddy saturation in geophysical flows and presents a simplified baroclinic model with stable solutions, showing the increasing attraction of eddy solution with the increment of baroclinic forcing.
Eddy saturation describes the nonlinear mechanism in geophysical flows whereby, when average conditions are considered, direct forcing of the zonal flow increases the eddy kinetic energy, while the energy associated with the zonal flow does not increase. Here, we present a minimal baroclinic model that exhibits complete eddy saturation. Starting from Phillips' classical quasi-geostrophic two-level model on the beta channel of the mid-latitudes, we derive a reduced order model comprising of six ordinary differential equations including parameterised eddies. This model features two physically realisable steady state solutions, one a purely zonal flow and one where, additionally, finite eddy motions are present. As the baroclinic forcing in the form of diabatic heating is increased, the zonal solution loses stability and the eddy solution becomes attracting. After this bifurcation, the zonal components of the solution are independent of the baroclinic forcing, and the excess of heat in the low latitudes is efficiently transported northwards by finite eddies, in the spirit of baroclinic adjustment.

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