NOTES AND CORRESPONDENCE A Form of Potential Vorticity Equation for Depth-Integrated Flow with a Free Surface
NOTES AND CORRESPONDENCE A Form of Potential Vorticity Equation for Depth-Integrated Flow with a Free Surface
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笔记与对应 自由表面深度积分流位涡方程的一种形式
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发表时间：
2008
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通讯作者：
C. Hughes
中科院分区：
文献类型：
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作者：
C. Hughes
对于具有自由表面的海洋，导出了一种线性正压位涡方程，其中只有一个标量变量（海底压力或地下压力）。不像准等转或刚性盖的推导，唯一的近似（除了线性化）是在循环的变化必须慢于惯性频率。分层的影响也包括在内，但只是参数化的，因为密度被视为一个给定的量或强迫项，而不是一个变量。
A form of linear, barotropic potential vorticity equation is derived for an ocean with a free surface, in which only one scalar variable appears (ocean bottom pressure, or subsurface pressure). Unlike quasigeostrophic or rigid-lid derivations, the only approximation made (apart from linearization) is that changes in the circulation must be slow compared with the inertial frequency. Effects of stratification are included, but only parametrically in the sense that density is treated as a given quantity or forcing term rather than a variable.