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首页> 外文期刊>Journal of Physical Oceanography >Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model
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Characterizing Transport between the Surface Mixed Layer and the Ocean Interior with a Forward and Adjoint Global Ocean Transport Model

机译：利用前向和伴随全球海洋运输模型表征表面混合层和海洋内部之间的运输

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摘要

The theory of first-passage time distribution functions and its extension to last-passage time distribution functions are applied to the problem of tracking the movement of water masses to and from the surface mixed layer in a global ocean general circulation model. The first-passage time distribution function is used to determine in a probabilistic sense when and where a fluid element will make its first contact with the surface as a function of its position in the ocean interior. The last-passage time distribution is used to determine when and where a fluid element made its last contact with the surface. A computationally efficient method is presented for recursively computing the first few moments of the first- and last-passage time distributions by directly inverting the forward and adjoint transport operator. This approach allows integrated transport information to be obtained directly from the differential form of the transport operator without the need to perform lengthy multitracer time integration of the transport equations. The method, which relies on the stationarity of the transport operator, is applied to the time-averaged transport operator obtained from a three-dimensional global ocean simulation performed with an OGCM. With this approach, the author (ⅰ) computes surface maps showing the fraction of the total ocean volume per unit area that ventilates at each point on the surface of the ocean, (ⅱ) partitions interior water masses based on their formation region at the surface, and (ⅲ) computes the three-dimensional spatial distribution of the mean and standard deviation of the age distribution of water.
机译：第一遍时间分布函数的理论及其对最后遍历时间分布函数的扩展适用于在全球海洋总环流模型中跟踪水团往返于表面混合层的运动的问题。第一次通过时间分布函数用于以概率的方式确定流体元素在何时何地首次与表面接触，这取决于其在海洋内部的位置。最后通过时间分布用于确定流体元素最后一次与表面接触的时间和地点。提出了一种计算有效的方法，该方法通过直接反转前向和伴随运输算子来递归计算初次和最后一次时间分布的前几个时刻。这种方法允许直接从运输运营商的微分形式中获得综合运输信息，而无需对运输方程式进行冗长的多示踪时间积分。该方法依赖于运输运营商的平稳性，适用于从使用OGCM进行的三维全球海洋模拟中获得的时间平均运输运营商。使用这种方法，作者（ⅰ）计算表面图，以显示在海洋表面每个点通风的每单位面积总海洋体积的分数，（ⅱ）根据内部水团在地表的形成区​​域进行划分，和（ⅲ）计算水的年龄分布的均值和标准偏差的三维空间分布。

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