A Topographic Drag Closure Built on an Analytical Base Flux

A Topographic Drag Closure Built on an Analytical Base Flux
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基于分析基础通量的地形阻力闭合

DOI:
10.1175/jas3496.1
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发表时间:
2005
影响因子:
3.1
通讯作者:
S. Garner
S. Garner
中科院分区:
地球科学3区
文献类型:
--
作者:
S. Garner

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摘要地形拖曳方案依赖于次网格地形的平均高度、宽度和方向的网格尺度表示。到目前为止,这些表示一直基于统计和维度分析的组合。然而,在某些物理假设下,线性分析提供了任意地形的阻力的精确幅度和方向。作者提出了一个计算上实用的封闭基于这种分析。还提出了一个非传播的基础通量的非线性校正。这是模式化后,现有的计划,但更好地约束,以匹配线性的解决方案,因为它假设了山的高度和宽度之间的相关性。当修正被解释为波列中向饱和过渡的公式时,它也提供了一种估计动量强迫垂直分布的方法。显式的亚网格高度分布导致的层经历强迫的自然加宽。线性阻力应...
Abstract Topographic drag schemes depend on grid-scale representations of the average height, width, and orientation of the subgrid topography. Until now, these representations have been based on a combination of statistics and dimensional analysis. However, under certain physical assumptions, linear analysis provides the exact amplitude and orientation of the drag for arbitrary topography. The author proposes a computationally practical closure based on this analysis. Also proposed is a nonlinear correction for nonpropagating base flux. This is patterned after existing schemes but is better constrained to match the linear solution because it assumes a correlation between mountain height and width. When the correction is interpreted as a formula for the transition to saturation in the wave train, it also provides a way of estimating the vertical distribution of the momentum forcing. The explicit subgrid height distribution causes a natural broadening of the layers experiencing the forcing. Linear drag due...