Abstract
So far, we have discussed only the dynamics of wave packet with the barotropic basic flow in a two-dimensional system. The baroclinicity of the basic flow is of great importance in geophysical fluids. Therefore, in this chapter we extend the previous results (Yang, 1988b,c) into a three-dimensional disturbance system with the baroclinic basic flow. The vorticity equation of motion and Ertel theorem are given in Section 7.2. The model is a three-dimensional stratified disturbance system with barotropic and baroclinic basic flow on the earth’s.δ-surface. The potential vorticity equation in a stratified geophysical flow is derived in Section 7.3. The equations determining the structure and its change are addressed in Section 7.4. Integral properties of this model are presented in Section 7.5. Sections 7.6 and 7.7 discuss the structures of wave packets and their changes on the zonal and meridional basic flow, respectively.
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Yang, H. (1991). Evolution of Wave Packets in Stratified Baroclinic Basic Flow. In: Wave Packets and Their Bifurcations in Geophysical Fluid Dynamics. Applied Mathematical Sciences, vol 85. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4381-4_7
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DOI: https://doi.org/10.1007/978-1-4757-4381-4_7
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