正压涡度方程-地球科学堆栈交换江南电子竞技平台江南体育网页版 最近30从www.hoelymoley.com 2023 - 07 - 10 - t21:20:56z //www.hoelymoley.com/feeds/question/16909 https://creativecommons.org/licenses/by-sa/4.0/rdf //www.hoelymoley.com/q/16909 1 正压涡度方程 琮高 //www.hoelymoley.com/users/16846 2019 - 05 - 09 - t11:41:05z 2019 - 05 - 13 - t22:02:36z < p >我遇到的正压涡度方程(下图)< a href = " https://doi.org/10.1080/03091920290020977 " rel = " nofollow noreferrer " > Sakamoto(2002) < / >,我不能算出来。符号是我不清楚。它怎么可能来源于navier - stokes方程?< / p > < p > < a href = " https://i.stack.imgur.com/HyaHJ.png " rel = " nofollow noreferrer " > < img src = " https://i.stack.imgur.com/HyaHJ.png " alt = "摘录论文" > < / > < / p > < p > <跨类= " math-container " > $ $ \β\ psi_x = \压裂{\ tau_x ^ y - \ tau_y x ^} {\ rho_0H} - r \ζ+ A_H \微分算符^ 2 \ζ- \压裂{f_0} {H} w_D $ $ < / span > < / p > < p >, < / p > < p > <跨类= " math-container " > \ psi < / span >是美元streamfunction < / p > < p > <跨类= " math-container " > \微分算符< / span >是美元水平梯度算子< / p > < p > <跨类= " math-container " > $ \ζ= \微分算符^ 2 \ psi $ < / span >的垂直分量相对涡度< / p > < p > <跨类= " math-container " > (\ tau_x \ tau_y)美元< / span >是纬向风应力< / p > < p > <跨类= " math-container " > $ f = f_0 +β\ y $ < / span >是科里奥利参数< / p > < p > <跨类= " math-container " > \ rho_0 < / span >是美元平均密度< / p > < p > <跨类= " math-container " > H < / span >美元是模型的深度海洋< / p > < p > <跨类= " math-container " > r < / span >是美元逆时间尺度的涡度衰减底摩擦< / p > < p > <跨类= " math-container " > A_H < / span >是美元水平涡粘性< / p > < p > <跨类= " math-container " > w_D < / span >美元不是解释。< / p > //www.hoelymoley.com/questions/16909/-/16913 # 16913 1 AtmosphericPrisonEscape回答的正压涡度方程 AtmosphericPrisonEscape //www.hoelymoley.com/users/489 2019 - 05 - 09 - t16:49:54z 2019 - 05 - 09 - t16:49:54z < p >这个方程是一种< a href = " https://en.wikipedia.org/wiki/Shallow_water_equations " rel = " nofollow noreferrer " > < / >浅水方程,这源于在不可压缩n - s限制和垂直方向是综合。< / p > < p >一把涡度的方程(只有一个组件然后)从浅水方程。涡度分为行星涡度,是科里奥利术语与< span class = " math-container " > \β< / span > -sheet-approximation美元。< / p > < p >此外看起来他们使用速度streamfunction。< / p >
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