Lagrangian Stochastic Modeling of Stratified Atmospheric Boundary Layer

IF 2.3 3区 地球科学 Q3 METEOROLOGY & ATMOSPHERIC SCIENCES Boundary-Layer Meteorology Pub Date : 2024-04-06 DOI:10.1007/s10546-023-00849-3
Jihoon Shin, Jong-Jin Baik
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Abstract

A single-column turbulence model for stratified atmospheric boundary layer (ABL), which solves the transport equations of turbulence probability density function (PDF) using a Lagrangian stochastic modeling (LSM) approach, is proposed in this study. This study adopts previously developed stochastic differential equations (SDEs) for particle velocity and temperature and extends the LSM to simulate inhomogeneous turbulence. The proposed LSM is tested for its ability to fully simulate statistics of inhomogeneous stratified turbulence. In the model, particles evolve by SDEs, and turbulence statistics are calculated by averaging the properties of particles. The model provides a full representation of turbulence PDF and simulates turbulent transport without any modeling assumption. The model performance is evaluated against large-eddy simulation (LES) results in the simulations of convective and stable ABL cases. For the convective ABL, LSM realistically simulates the entrainment process with the temperature and heat flux profiles that closely match with LES. The joint PDF simulated by LSM reproduces a curved and highly skewed shape, and some distinct features, like the asymmetric distribution of vertical velocity and the separation of the PDF in the entrainment zone, are simulated. LSM also reproduces the entrainment enhancement by wind shear in the simulation of sheared convective ABL. The LSM simulation of stable ABL predicts realistic turbulence intensity and mean field profiles, where Gaussian-like PDFs are simulated both in LSM and LES.

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分层大气边界层的拉格朗日随机建模
本研究提出了分层大气边界层(ABL)的单柱湍流模型,该模型采用拉格朗日随机建模(LSM)方法求解湍流概率密度函数(PDF)的传输方程。本研究采用了之前开发的粒子速度和温度随机微分方程(SDE),并扩展了 LSM 以模拟非均质湍流。本文测试了所提出的 LSM 全面模拟非均质分层湍流统计的能力。在该模型中,粒子通过 SDEs 演变,湍流统计则通过平均粒子特性来计算。该模型提供了湍流 PDF 的完整表述,并在没有任何建模假设的情况下模拟了湍流传输。在模拟对流和稳定 ABL 时,根据大涡模拟(LES)结果对模型性能进行了评估。对于对流 ABL,LSM 真实地模拟了夹带过程,其温度和热通量剖面与 LES 非常接近。LSM 模拟的联合 PDF 再现了弯曲和高度倾斜的形状,并模拟了一些明显的特征,如垂直速度的非对称分布和夹带区 PDF 的分离。在模拟剪切对流 ABL 时,LSM 还再现了风切变对夹带的增强作用。LSM 对稳定 ABL 的模拟预测了逼真的湍流强度和平均场剖面,其中类高斯 PDF 在 LSM 和 LES 中都得到了模拟。
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来源期刊
Boundary-Layer Meteorology
Boundary-Layer Meteorology 地学-气象与大气科学
CiteScore
7.50
自引率
14.00%
发文量
72
审稿时长
12 months
期刊介绍: Boundary-Layer Meteorology offers several publishing options: Research Letters, Research Articles, and Notes and Comments. The Research Letters section is designed to allow quick dissemination of new scientific findings, with an initial review period of no longer than one month. The Research Articles section offers traditional scientific papers that present results and interpretations based on substantial research studies or critical reviews of ongoing research. The Notes and Comments section comprises occasional notes and comments on specific topics with no requirement for rapid publication. Research Letters are limited in size to five journal pages, including no more than three figures, and cannot contain supplementary online material; Research Articles are generally fifteen to twenty pages in length with no more than fifteen figures; Notes and Comments are limited to ten journal pages and five figures. Authors submitting Research Letters should include within their cover letter an explanation of the need for rapid publication. More information regarding all publication formats can be found in the recent Editorial ‘Introducing Research Letters to Boundary-Layer Meteorology’.
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