Wavenumber transition and wavenumber vacillation in Eady-type baroclinic flows

Wavenumber transition and wavenumber vacillation are studied numerically in a maximum simplification Eady-type model with uneven Ekman dissipation. The spectral wave solution for the model contains three waves with adjacent zonal wavenumbers and the gravest meridional mode. The model only allows for wave-mean-flow interaction. The model is used to obtain the main characteristics of the process of wavenumber transition at various stratifications and the flow regime of wave-number vacillation at specific parameter settings. It is found that wavenumber vacillation is a flow regime observed at some parameter settings when the flow has at least two spatial and three temporal degrees of freedom. It is suggested that the balance between baroclinic forcing and damping adjusted by wave-mean-flow interaction is a basic mechanism for wavenumber transition and wavenumber vacillation.