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首页> 外文期刊>Journal of energy and power engineering >Applicability of Mean Field Approximation to Numerical Experiments of Thermal Convection during the Cooling Period of Lake Biwa
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Applicability of Mean Field Approximation to Numerical Experiments of Thermal Convection during the Cooling Period of Lake Biwa

机译：均值近似法在琵琶湖降温期间热对流数值实验中的适用性

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摘要

This paper describes the applicability of a stochastic model to the numerical experiments of thermal convection carried out under the condition of the northern part of Lake Biwa, Shiga Prefecture, Japan. It was shown in the previous study that the temporal changes of vertical water temperature distributions during the cooling period between September and February can be reproduced by a simple 3D-CFD model. It was also pointed out that the spatial distributions of cooled water body sinking to the bottom due to water surface cooling represent similar features of forest gap distribution, which can be clarified by a stochastic model. The basic features of numerical experiments on thermal convection such as the spatial distribution of cooled water body are firstly shown with several cooling rates at water surface. Then, a stochastic model, which was originally introduced to explain forest gap dynamics, is shown with its MFA (mean field approximation) as first approximation of stochastic model. It is pointed out through the comparison of theoretical results by MFA with tuned model constants to numerical experiments that MFA with some refinement can be applicable to reproduce the basic features of simulated results to some extent, although further investigations are required to clarify the applicability of the model to more detailed mechanism of thermal convection such as size distribution of cooled water body, phase change of flow pattern, etc..
机译：本文描述了随机模型在日本滋贺县琵琶湖北部条件下进行的热对流数值实验中的适用性。先前的研究表明，9月至2月冷却期间垂直水温分布的时间变化可以通过简单的3D-CFD模型再现。还指出，由于水面冷却而下沉到底部的冷却水体的空间分布表现出林隙分布的相似特征，这可以通过随机模型来阐明。首先对水对流进行数值模拟的基本特征，如冷却水体的空间分布。然后，显示了最初引入的用于解释林隙动态的随机模型及其MFA（平均场近似）作为随机模型的第一近似。通过将带有调整后的模型常数的MFA的理论结果与数值实验进行比较，可以指出，尽管需要做进一步的研究来阐明MFA的适用性，但经过一些改进的MFA可以在一定程度上重现模拟结果的基本特征。建立更详细的热对流机理模型，例如冷却水体的尺寸分布，流型的相变等。

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