剩余平均涡度流函数和准Stokes流函数的高阶近似
Higher-order approximations of the residual-mean eddy streamfunction and the quasi-Stokes streamfunction
摘要：
级数展开的剩余平均涡的流函数和准斯托克斯流函数进行比较，浮力扰动的三阶，正式和使用几个理想化的涡允许带状通道模型实验。在平底的模式配置中，两个流函数都可以很好地近似于海洋内部的前一个或两个领先的阶项，尽管三阶项仍然显着影响隐含的内部环流。此外，在两个系列的扩展到三阶的差异仍然很小。另一方面，在表面和底部边界附近，前导阶项不同，并且最初具有交替的符号和增加的幅度，使得低阶近似表达式在那里分解。在更现实的模式配置与显着的地形特征，物理上不一致的再循环细胞也出现在海洋内部，并没有有效地减少下一个高阶项。提出了一种表示初始递增或递减级数展开的测度。
英文摘要：
The series expansion of the residual-mean eddy streamfunction and the quasi-Stokes streamfunction are compared up to third order in buoyancy perturbation, both formally and by using several idealised eddy-permitting zonal channel model experiments. In model configurations with flat bottom, both streamfunctions may be well approximated by the first one or two leading order terms in the ocean interior, although terms up to third order still significantly impact the implied interior circulations. Further, differences in both series expansions up to third order remain small here. Near surface and bottom boundaries, on the other hand, the leading order terms differ and are initially of alternating sign and of increasing magnitude such that the low order approximate expressions break down there. In more realistic model configurations with significant topographic features, physically inconsistent recirculation cells also appear in the ocean interior and are not effectively reduced by the next higher order terms. A measure indicating an initially increasing or decreasing series expansion is proposed.
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