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Stochastic Model of Heat Transfer in the Atmospheric Surface Layer
Computational Mathematics and Mathematical Physics ( IF 0.7 ) Pub Date : 2020-05-12 , DOI: 10.1134/s0965542520030173
V. G. Zadorozhniy , V. S. Nozhkin , M. E. Semenov , I. I. Ul’shin

Abstract

A new stochastic model of heat transfer in the atmospheric surface layer is proposed. The model is based on the experimentally confirmed fact that the horizontal wind velocity can be treated as a random process. Accordingly, the model is formalized using a differential equation with random coefficients. Explicit formulas for the expectation and the second moment function of the solution to the heat transfer equation with random coefficients are given. The error induced by replacing the random coefficient of the equation with its expectation is estimated. An example is given demonstrating the efficiency of the proposed approach in the case of a Gaussian distribution of the horizontal wind velocity, when the expectation and the second moment function can be determined within the framework of model representations.



中文翻译:

大气表层传热的随机模型

摘要

提出了一种新的大气表层传热随机模型。该模型基于实验证实的事实,即水平风速可以视为随机过程。因此,使用具有随机系数的微分方程对模型进行形式化。给出了具有随机系数的传热方程解的期望值和第二矩函数的显式公式。估计通过用期望值代替方程的随机系数而引起的误差。当可以在模型表示的框架内确定期望值和第二矩函数时,给出一个示例,说明在水平风速的高斯分布情况下所提出的方法的效率。

更新日期:2020-05-12
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