Modeling the Process of Pollutant Spread in the Atmosphere with Account for the Capture of Particles by Vegetation Elements

IF 0.8 Q2 MATHEMATICS Lobachevskii Journal of Mathematics Pub Date : 2024-07-19 DOI:10.1134/s1995080224600638
N. Ravshanov, Sh. E. Nazarov, B. Boborakhimov
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Abstract

The problems of forecasting the pollutant concentration in the atmosphere by means of mathematical modeling remain one of the most relevant scientific areas. Such a conclusion can be drawn from the analysis of scientific publications related to the problems of mathematical modeling of complex processes of mass transfer in the atmosphere. In this regard, the aim of this study is to develop a mathematical model for the transport and diffusion of emissions of polluting particles of technogenic and natural origin and an effective numerical algorithm for solving the problem with a high-order approximation in time and space variables. A feature of the proposed mathematical apparatus is that, in addition to the main factors, the model takes into account the phenomenon of the capture of aerosol particles by elements of vegetation in the land environment. The solution algorithm is based on the method for splitting the original problem into physical factors: advection, diffusion, and absorption of a substance in the air mass of the atmosphere. Computational experiments were conducted using real meteorological parameters and data on sources of atmospheric pollution. An analysis of the results of numerical calculations showed their good agreement with the data of field measurements and the results obtained by other authors. Thus, the adequacy of the developed mathematical model and the accuracy of the numerical algorithm were sufficiently substantiated. In the course of experiments, the influence of the main factors on the process of transfer and diffusion of particles of harmful substances in the atmosphere was established. Particular attention was paid to the study of how the green cover on the terrain affects the propagation of particle concentration fields; what portion of pollutants can be absorbed by vegetation elements compared to other types of the underlying surface. The practical outcome of the study is the possibility of developing recommendations to support decision-making on maintaining the ecological balance of the environment in industrial regions and protecting it from the possible negative impact of technogenic factors.

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模拟污染物在大气中的扩散过程并考虑植被要素对微粒的捕获作用
摘要 通过数学建模预测大气中污染物浓度的问题仍然是最相关的科学领域之一。通过分析与大气中复杂传质过程的数学建模问题有关的科学出版物,可以得出这样的结论。在这方面,本研究的目的是建立一个技术和自然污染粒子排放传输和扩散的数学模型,以及一个有效的数值算法,用于解决时间和空间变量中的高阶近似问题。所提议的数学装置的一个特点是,除主要因素外,该模型还考虑了陆地环境中植被元素捕获气溶胶颗粒的现象。求解算法基于将原始问题拆分为物理因素的方法:大气气团中物质的平流、扩散和吸收。利用真实的气象参数和大气污染源数据进行了计算实验。对数值计算结果的分析表明,这些结果与实地测量数据和其他作者获得的结果十分吻合。因此,所建立数学模型的适当性和数值算法的准确性得到了充分证实。在实验过程中,确定了主要因素对大气中有害物质颗粒转移和扩散过程的影响。特别注意研究地形上的绿色植被如何影响粒子浓度场的传播;与其他类型的底层表面相比,植被元素能吸收多少污染物。这项研究的实际成果是有可能提出建议,以支持关于维持工业地区环境生态平衡和保护环境免受技术因素可能造成的负面影响的决策。
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来源期刊
CiteScore
1.50
自引率
42.90%
发文量
127
期刊介绍: Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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