Variant of the Local Similarity Theory and Approximations of Vertical Profiles of Turbulent Moments of the Atmospheric Convective Boundary Layer

IF 0.9 4区 地球科学 Q4 METEOROLOGY & ATMOSPHERIC SCIENCES
A. N. Vulfson, P. V. Nikolaev
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引用次数: 0

Abstract

An approximation of the turbulent moments of the atmospheric convective layer is based on a variant of the local similarity theory using the concepts of the semiempirical theory of Prandtl turbulence. In the proposed variant of the local similarity theory, the second moment of vertical velocity and the “spectral” Prandtl mixing length are used as basic parameters. This approach allows us to extend Prandtl’s theory to turbulent moments of vertical velocity and buoyancy and additionally offer more than ten new approximations. A comparison of the proposed approximation with other variants of the theory of local similarity is considered. It is shown that the selected basic parameters significantly improve the agreement between the local similarity approximations and experimental data. The approximations are consistent with observations in the turbulent convective layer of the atmosphere, the upper boundary of which nearly corresponds to the lower boundary of the temperature inversion. Analytical approximations of local similarity can find applications in the construction of high-order moment closures in the vortex of resolving numerical turbulence models, as well as in the construction of “mass-flux” parametrization.

Abstract Image

局部相似理论的变体和大气对流边界层湍流力矩垂直剖面的近似值
摘要 利用普朗特湍流半经验理论的概念,在局部相似性理论变体的基础上对大气对流层的湍流矩进行了近似计算。在所提出的局部相似性理论变体中,垂直速度第二矩和 "光谱 "普朗特混合长度被用作基本参数。这种方法使我们能够将普朗特理论扩展到垂直速度和浮力的湍流力矩,并提供了十多种新的近似方法。我们将所提出的近似值与局部相似性理论的其他变体进行了比较。结果表明,所选的基本参数大大提高了局部相似性近似值与实验数据之间的一致性。近似值与大气湍流对流层的观测结果一致,其上边界几乎与温度反演的下边界一致。局部相似性的分析近似值可应用于解析数值湍流模型涡旋中高阶矩闭合的构建,以及 "质量流 "参数化的构建。
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来源期刊
CiteScore
1.40
自引率
28.60%
发文量
56
审稿时长
6-12 weeks
期刊介绍: Izvestiya, Atmospheric and Oceanic Physics is a journal that publishes original scientific research and review articles on vital issues in the physics of the Earth’s atmosphere and hydrosphere and climate theory. The journal presents results of recent studies of physical processes in the atmosphere and ocean that control climate, weather, and their changes. These studies have possible practical applications. The journal also gives room to the discussion of results obtained in theoretical and experimental studies in various fields of oceanic and atmospheric physics, such as the dynamics of gas and water media, interaction of the atmosphere with the ocean and land surfaces, turbulence theory, heat balance and radiation processes, remote sensing and optics of both media, natural and man-induced climate changes, and the state of the atmosphere and ocean. The journal publishes papers on research techniques used in both media, current scientific information on domestic and foreign events in the physics of the atmosphere and ocean.
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