论文标题

非传统催眠方程

Nontraditional hypsometric equation

论文作者

Ong, Hing, Roundy, Paul E.

论文摘要

这项研究通过恢复非传统项来纠正催眠方程,以放松静液压近似。非传统术语包括垂直动量方程中的一个科里奥利项和两个度量项。具有和不进行非传统校正的催眠方程用于使用超过300,000个选定的热带Rawinsonde轮廓来计算压力水平的地势高度。在两个压力水平之间西风的情况下,层的厚度增加,从而降低了向上的压力梯度力以平衡向上的非传统科里奥利力。相反的是东方人。因此,纬向风与传统的地势高度偏见呈负相关。例如,在500 hPa时,热带对流层的传统地势高度误差至少为0.5 m,这对于热带大尺度流动的地球高度可变性是相当大的,在10 m至15 m处。

This study corrects the hypsometric equation by restoring the nontraditional terms to relax the hydrostatic approximation. The nontraditional terms include one Coriolis term and two metric terms in the vertical momentum equation. The hypsometric equations with and without the nontraditional correction are used to calculate the geopotential height of pressure levels using more than 300,000 selected tropical rawinsonde profiles. With westerlies between two pressure levels, the thickness of the layer increases, which reduces the upward pressure gradient forces to balance the upward nontraditional Coriolis forces; the opposite is true for easterlies. Hence, zonal winds are negatively correlated with traditional geopotential height biases aloft. At 500 hPa, for example, traditional geopotential height error in the tropical troposphere is on the order of at least 0.5 m, which is considerable with respect to geopotential height variability in tropical large-scale flow, on the order of 10 m to 15 m.

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