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Physical Mechanism and Model of Turbulent Cascades in a Barotropic Atmosphere


doi: 10.1007/BF02915678

  • In a barotropic atmosphere,new Reynolds mean momentum equations including turbulent viscosity,dispersion,and instability are used not only to derive the KdV-Burgers-Kuramoto equation but also to analyze the physical mechanism of the cascades of energy and enstrophy.It shows that it is the effects of dispersion and instability that result in the inverse cascade.Then based on the conservation laws of the energy and enstrophy,a cascade model is put forward and the processes of the cascades are described.
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Manuscript History

Manuscript received: 10 January 2004
Manuscript revised: 10 January 2004
通讯作者: 陈斌, bchen63@163.com
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Physical Mechanism and Model of Turbulent Cascades in a Barotropic Atmosphere

  • 1. School of Physics,Peking University,Beijing 100871,School of Physics,Peking University,Beijing 100871

Abstract: In a barotropic atmosphere,new Reynolds mean momentum equations including turbulent viscosity,dispersion,and instability are used not only to derive the KdV-Burgers-Kuramoto equation but also to analyze the physical mechanism of the cascades of energy and enstrophy.It shows that it is the effects of dispersion and instability that result in the inverse cascade.Then based on the conservation laws of the energy and enstrophy,a cascade model is put forward and the processes of the cascades are described.

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