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首页> 外文期刊>Journal of Marine Research >A study of the omega equation for diagnosing vertical motions at ocean fronts
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A study of the omega equation for diagnosing vertical motions at ocean fronts

机译：诊断海洋前沿垂直运动的欧米伽方程的研究

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摘要

Estimation of vertical velocity is a key issue for understanding ocean physics and transport of biogeochemical tracers. We examine the accuracy of estimating vertical velocity in fronts with the omega equation. The diagnostic performance of the omega equation is evaluated by using vertical velocities obtained from simulation of frontal instabilities in a primitive equation model as a reference. We use two traditional quasigeostrophic methods in which the flow is either a geostrophic flow computed from density or a nondivergent flow derived from vorticity and also test two new formulations: a quasigeostrophic method using the total flow field and the semigeostrophic omega equation. Results show that all four formulations correctly diagnose the vertical velocity pattern. However, estimates provided by the traditional quasigeostrophic formulations have systematic bias. In contrast, the two new techniques, which are practically equivalent, produce unbiased vertical velocity diagnostic at fronts. These results point out the importance of including higher order dynamics than quasigeostrophy to take into account the ageostrophic advection in the front. Since adequate filtering of ADCP data is not yet available to obtain a suitable total flow, the semigeostrophic omega equation is proposed as the most valuable tool to compute vertical velocities from high resolution density measurements.
机译：垂直速度的估计是理解海洋物理学和生物地球化学示踪剂运输的关键问题。我们用omega方程检验了估计前方垂直速度的准确性。欧米茄方程的诊断性能通过使用从原始方程模型中的正面不稳定性模拟获得的垂直速度作为参考进行评估。我们使用两种传统的准地转方法，其中流动要么是通过密度计算的地转流，要么是通过涡度推导的非发散流，还测试了两种新的公式：使用总流场的准地转方法和半地转欧米伽方程。结果表明，所有四个公式均能正确诊断垂直速度模式。但是，传统准营养配方提供的估计值存在系统偏差。相反，实际上等同的两种新技术在前端产生了无偏垂直速度诊断。这些结果指出，考虑到前面的变质对流，包括比准地质营养学更高级的动力学是很重要的。由于尚不能对ADCP数据进行足够的滤波来获得合适的总流量，因此建议使用半地转欧米伽方程作为从高分辨率密度测量值计算垂直速度的最有价值的工具。

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