The generalized Ekman model for the tropical cyclone boundary layer revisited: The myth of inertial stability as a restoring force

The generalized Ekman model for the tropical cyclone boundary layer revisited: The myth of inertial stability as a restoring force
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重新审视热带气旋边界层的广义埃克曼模型:惯性稳定性作为恢复力的神话

DOI:
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发表时间:
2020
影响因子:
8.9
通讯作者:
M. Montgomery
M. Montgomery
中科院分区:
地球科学3区
文献类型:
--
作者:
Roger K. Smith;M. Montgomery

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我们重新审视表达广义埃克曼平衡的线性边界层近似,并用它来澄清先前文献中关于热带气旋边界层的一系列解释。其中一些解释与边界层流入的原因有关,另一些则与惯性稳定性对边界层动力学的假定影响有关。例如,惯性稳定性被用来解释边界层行为的各个方面,包括边界层的锋生性质及其与涡旋自旋的关系。我们的分析揭示了将惯性稳定性作为边界层径向流入阻力的谬误。分析还表明,在边界层上方惯性稳定的相对较窄的涡流中,非线性加速度项与线性科里奥利加速度项相当。使用线性解估计非线性加速度预计会低估非线性边界层模型中的实际贡献,警告不要忽略诊断或预测模型中的非线性项。
We revisit the linear boundary‐layer approximation that expresses a generalized Ekman balance and use it to clarify a range of interpretations in the previous literature on the tropical cyclone boundary layer. Some of these interpretations relate to the reasons for inflow in the boundary layer and others relate to the presumed effects of inertial stability on boundary‐layer dynamics. Inertial stability has been invoked, for example, to explain aspects of boundary‐layer behaviour, including the frontogenetic nature of the boundary layer and its relationship to vortex spin‐up. Our analysis exposes the fallacy of invoking inertial stability as a resistance to radial inflow in the boundary layer. The analysis shows also that the nonlinear acceleration terms become comparable to the linear Coriolis acceleration terms in relatively narrow vortices that are inertially stable above the boundary layer. Estimates of the nonlinear accelerations using the linear solutions are expected to underestimate the actual contribution in a nonlinear boundary‐layer model, cautioning against neglecting the nonlinear terms in diagnostic or prognostic models.
DOI: 10.1175/mwr-d-18-0010.1
发表时间: 2019-02
影响因子: 3.2
作者:
Jun A. Zhang;R. Rogers
通讯作者: Jun A. Zhang;R. Rogers