Abstract

In order to investigate the formation process of the k − 5/3 H energy spectrum ob- served in the atmospheric mesoscales, we perform numerical experiments on forced turbulence in a rotating stratified fluid and examine the energy cascade processes. When the energy injection by the dynamical forcing is concentrated in small scales, upscale energy cascade is expected to form a k − 5/3 H spectrum. However, our result shows that the upscale cascade is not enough to form this spectrum for the terrestrial parameter range. On the other hand, the spectral slope generated by downscale energy cascade from energy injection in larger scales is close to −2 and is not sensitive to static stability when the Coriolis parameter is greater than the terrestrial angular velocity.

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