贴壁地转
Quasigeostrophy against the wall
摘要：
海岸是连续分层准地转方程的经典推导的障碍，由于缓慢的内部海岸捕获的开尔文波和反气旋之间可能的共振。[Deremble et al Ocean Modelling 2017]提出了准地转内部和边界层开尔文波动力学之间的耦合模型。我们重新推导这个模型，特别注意守恒定律。我们发现，尽管在边界层中存在Kelvin波激波，准地转能量是守恒的。这些激波的作用是改变全球位涡分布，从而改变内部流动结构。在这方面，我们表明，有一个主动控制的边界区域的内部流动。
英文摘要：
Coasts are obstructions to the classical derivation of continuously stratified quasigeostrophic equations, due to possible resonances between slow internal coastally trapped Kelvin waves and anticyclones. [Deremble et al Ocean Modelling 2017] proposed a coupled model between a quasigeostrophic interior and boundary layer Kelvin wave dynamics. We revisit the derivation of this model, paying particular attention to conservation laws. We find that quasigeostrophic energy is conserved despite the existence of Kelvin wave shocks in the boundary layer. The effect of those shocks is to change the global distribution of potential vorticity, and, consequently the interior flow structure. In that respect, we show that there is an active control of the boundary region on the interior flow.
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