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首页> 外文期刊>Journal of Physical Oceanography >On the Nonlinear, Three-Dimensional Structure of Equatorial Oceanic Flows
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On the Nonlinear, Three-Dimensional Structure of Equatorial Oceanic Flows

机译：赤道海流的非线性三维结构

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A systematic development, based on the construction of an asymptotic solution of the Euler equation, written in rotating, spherical coordinates (phi,theta,r), is used to investigate the flows of the type seen in the neighborhood of the Pacific equator. First, it is shown that the observed poleward surface-flow structure away from the line of the equator is possible only if the flow evolves (changes) in the azimuthal direction. Then, allowing for variations in the azimuthal direction, the shallow-water, small-Rossby-number version of the problem, approximated close to the equator, leads to an asymptotic formulation that admits any prescribed azimuthal velocity profile u(theta,r) at some fixed longitude phi. The maximum extent of the flow region inside which we can describe in detail the velocity field is restricted by the size of the Rossby number. The analysis demonstrates that the meridional upsilon and vertical w velocity components are nonlinearly connected to u, and that all three velocity components appear at the same order in the leading (scaled) equations, even though the physical size of w is very much smaller than that of the other two components. An appropriate choice is made for u, at a given phi, and the corresponding complete three-dimensional flow field, which emerges from the interlinkage of the velocity components, is described; the thermocline is also added to the flow configuration. We compare these results with the available field data, demonstrating that this formulation captures all the main structures of the flow field, but also allows for many choices to be made that can be used to adjust the details of the flow and to model other, similar flows.
机译：以欧拉方程的渐近解的构造为基础的系统发展，用旋转的球坐标（phi，theta，r）编写，用于研究在太平洋赤道附近看到的类型的水流。首先，表明只有当水流沿方位角方向发展（变化）时，观察到的远离赤道线的极向表面流结构才是可能的。然后，考虑到方位角方向的变化，该问题的浅水小罗斯贝数版本（近似于赤道）导致了渐近公式，该公式允许任何规定的方位角速度分布u（theta，r）一些固定的经度phi。我们可以在其中详细描述速度场的最大流动区域范围受Rossby数的大小限制。分析表明，子午线上升子线和垂直方向的w速度分量与u呈非线性关系，即使w的物理尺寸远小于u，这三个速度分量在前导（定标）方程中也以相同的顺序出现。其他两个组成部分。在给定的phi下，对u进行适当选择，并描述了相应的完整的三维流场，该流场是由速度分量的相互联系而产生的。恒温器也被添加到流量配置中。我们将这些结果与可用的现场数据进行比较，证明此公式描述了流场的所有主要结构，但也允许做出许多选择，这些选择可用于调整流的细节并为其他类似模型建模流。

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