跨极漂流:旋转球面坐标中的海冰风复合体

R. S. Johnson
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引用次数: 0

摘要

从粘性不可压缩流体的控制方程出发,在北极有效的旋转球面坐标系中,引用薄壳近似。在推导此处使用的渐近方程系统时,不需要进一步的近似。描述了冰的上下表面的适当应力条件,从而构建了跨极地漂流的解决方案。这包括指定一个合适的地转流,并结合一个埃克曼分量。然后,通过地表冰层上的应力条件,得到冰层运动和相关风力的解决方案。此外,这里采用的模型还能预测跨极漂流流经弗拉姆海峡时冰厚度的减少。我们提出的方案允许在选择流的各种要素时有相当大的自由度;为冰的物理特性选择的模型尤其重要。我们对所有这些方面进行了批判性讨论,结果表明为今后的研究开辟了许多途径。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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The Transpolar Drift current: an ocean-ice-wind complex in rotating, spherical coordinates

Starting from the governing equations for a viscous, incompressible fluid, written in a rotating, spherical coordinate system that is valid at the North Pole, the thin-shell approximation is invoked. No further approximations are needed in the derivation of the system of asymptotic equations used here. Suitable stress conditions on the upper and lower surfaces of the ice are described, leading to the construction of a solution for the Transpolar Drift current. This involves the specification of a suitable geostrophic flow, combined with an Ekman component. Then, via the stress conditions across the ice at the surface, a solution for the motion of the ice, and for the associated wind blowing over it, are obtained. In addition, the model adopted here provides a prediction for the reduction in ice thickness along the Transpolar Drift current as it passes through the Fram Strait. The formulation that we present allows considerable freedom in the choices of the various elements of the flow; the model chosen for the physical properties of the ice is particularly significant. All these aspects are discussed critically, and it is shown that many avenues for future investigation have been opened.

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