МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ ПРОЦЕСУ РОЗСІЮВАННЯ ВИКИДІВ ВІД ПОСТІЙНО ДІЮЧОГО СТАЦІОНАРНОГО ДЖЕРЕЛА ЗАБРУДНЕННЯ
Journal Title: Математичне моделювання - Year 2018, Vol 1, Issue 1
Abstract
MATHEMATICAL MODELING OF DISPERSION PROCESS OF EMISSIONS FROM CONSTANTLY OPERATING STATIONARY SOURCE OF POLLUTION Biliaiev M.М., Rusakova T.I. Abstract The processes of extraction and processing of ironstone are accompanied by pollution of atmospheric air when carrying out the specific technological processes. The main task is to minimize harmful emissions and reduce their negative impact on the environment. The problem of atmospheric air pollution in cities became so serious that there is a need for timely information of changes in measures and level of pollution for more detailed monitoring system implementation. The authors pay attention to the development of a mathematical model and its numerical implementation for the creation of software for calculations of the concentration of impurities (carbon monoxide) entering the atmosphere from a permanently operating stationary source of pollution, namely from «Northern mining and processing plant». The mathematical model is based on the solution of the three-dimensional transfer equations of the impurity, which comes directly from the permanently operating stationary source (mining and processing plant). To construct a numerical model, the implicit alternating-triangular difference scheme is used, which approximates the equation and is constructed on a rectangular difference grid. The concentration is determined in the center of the difference cells, the components of the velocity vector of the air are given at the boundaries of the difference cells. The approximation of the derivatives of the first and second order and the splitting of the difference equation into four steps in integration over time are carried out. As a result, the created software allows conducting computational experiments to calculate atmospheric air pollution zones with carbon monoxide, taking into account meteorological parameters. Areas and levels of pollution located in the direction of the wind relatively to the source of pollution are determined. The possibility of estimating the measure and level of pollution may be useful for developing a scheme for location of observation posts for atmospheric air quality in the city for the system of monitoring and taking steps for environmental safety of the population. References [1] Biliaiev M. М., Rusakova T. I., Kolesnik V. Ye., Pavlichenko А. V. “Determination of areas of atmospheric air pollution by sulfur oxide emissions from mining and metallurgical and energy generating enterprises”. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 2017, no. 1, pp. 90–98. [2] Murakami S., Mochida A., Yoshihiko H. Comparison of «k-ε» model, ASM and LES with wind tunnel test for flow field around cubic model. 8th Intern. Conf. on Wind Engineering, Western Ontario, 1991, no. 12, 3 p. [3] Jaćimovski S., Miladinović S, Radovanović R., Ilijazi V. Use of gaussian mathematical model in the distribution of sulphur dioxide into the atmosphere from point source. Tehnički vjesnik 24, 2017, Suppl. 1, pp. 157–162. [4] Y Qu. Development of building resolving atmospheric CFD code taking into account atmospheric radiation in complex geometric. Air Pollution Modeling and it’s Application, NATO SPS Series C : Environmental Security, 2010, pp. 1–5. [5] Marchuk G. I. Matematicheskoye modelirovaniye v probleme okruzhayushhey sredy [Mathematical modelling in the environmental problem]. Moscow, Nauka Publ., 1982. 320 p. [6] Zgurovskiy M. Z., Skopetskiy V. V., Khrushch V. K., Belyayev N. N. Chislennoye modelirovaniye rasprostraneniya zagryazneniya v okruzhayushchey srede [Numerical modelling of pollution in the environment]. Kyiv, Naukova Dumka Publ., 1997. 368 p.
Authors and Affiliations
М. М. Біляєв, Т. І. Русакова
Keywords
Related Articles
- EP ID EP294913
- DOI 10.31319/2519-8106.1(38)2018.129021
- Views 73
- Downloads 0
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