论文标题

基于坡度和自由空气流的WKB PrandTL模型的风轮廓

Wind profiles for WKB Prandtl models based on slope and free air flow

论文作者

Arbeiter, Maximilian, Rammelmüller, Iris, Spöck, Gunter

论文摘要

在本文中,WKB(Wentzel-Kramers-brillouin)PrandTL模型是研究可能在倾斜表面上发生的各种斜坡流的基线。 prandtl型模型将基本的边界层动力学和纯坡流的热力学融合。如果仅使用摩擦速度,摩擦温度和明智的热通量获得匹配的WKB PRANDTL模型,我们提供了一个问题的答案。如果WKB-PrandTL模型的斜率流与自由空气流的Monin-Obukhov相似性理论之间存在过渡或组合,则可以立即提高查询。结果,我们显示了使用Monin-Obukhov相似性和使用WKB PrandTL模型计算的摩擦速度和摩擦温度之间的差异。由于它们在众多应用中的潜在效用,因此正在进行对山层扰动的非中性风轮廓的研究。因此,进一步的讨论包括如何使用WKB PRANDTL模型的新参数化来计算高山谷的微气象模型中的斜率和自由气流,例如用于污染物分散计算。

In this article the WKB (Wentzel-Kramers-Brillouin) Prandtl model serves as the baseline for the study of different kinds of slope flows which can occur over inclined surfaces. The Prandtl-type model couples basic boundary-layer dynamics and thermodynamics for pure slope flows. We provide an answer to the question if it is possible to obtain the matching WKB Prandtl model using only friction velocity, friction temperature, and sensible heat flux. This instantly raises the query if there is a transition or combination between the WKB-Prandtl model for slope flows and the Monin-Obukhov similarity theory for free-air flows and vice versa. As a result, we show the difference between friction velocity and friction temperature calculated using the Monin-Obukhov similarity theory and those computed using the WKB Prandtl model. There is ongoing research into hill-perturbed non-neutral wind profiles because of their potential utility in numerous applications. Hence, further discussion includes how the new parametrization of the WKB Prandtl model may be used to calculate slope and free-air flows in a micro-meteorological model of an alpine valley, e.g. for pollutant dispersion calculations.

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