Mathematical and descrete models in the tasks of emergency pollution of atmospheric air

Authors

  • М.М. Біляєв, І.В. Калашніков ХарківськевідділенняФіліалу«Проектно-вишукувальнийінститут залізничноготранспорту» акціонерного товариства«Українська залізниця», Харків, Україна Author
  • В.А. Козачина Дніпровськийнаціональнийуніверситетзалізничноготранспорту імені академіка В. Лазаряна, Дніпро, Україна Author
  • О.В. Берлов Придніпровськадержавнаакадеміябудівництватаархітектури, Дніпро, Україна Author

DOI:

https://doi.org/10.33271/crpnmu/57.149

Keywords:

chemical pollution of the atmosphere, emergency situations, numerical simulation

Abstract

Purpose.The purpose of the work is to develop a mathematical model for assessing the dynamics of air pollution in the case of non-stationary emission of a chemically hazardous substance at an industrial facility. Methodology.To solve the problem, we used the equation for the velocity potential, on the basis of which the velocity field of the air flow was determined, and the equation of convective-diffusion dispersion of a chemically dangerous agent in atmospheric air. The equation of convective-diffusion scattering of an impurity allows one to take into account the velocity field of the wind flow, atmospheric diffusion, and the intensity of the emission of a chemically dangerous agent. In the numerical integration of the equation for the velocity potential, a locally one-dimensional difference scheme is used. The unknown value for the velocity potential at each step of the splitting is determined by the running account method. For the numerical solution of the equation of convective-diffusion scattering of an impurity, two splitting schemes were used. A feature of the schemes used is the determination of the unknown value of the concentration of a chemically dangerous substance by means of a running account. The resultsBased on the developed numerical models, a specialized software package has been created. The developed software package was applied to assess the level of air pollution in the event of emission of a chemically hazardous substance at a railway station. The developed numerical models can be implemented on computers of low and medium power, which allows them to be widely used for solving various problems in the field of emergency air pollution. Scientific novelty.The effective numerical models for calculating the zones of chemical contamination during the emission of hazardous substances into the atmosphere are considered. Models can be used to solve problems when developing an emergency response plan at an industrial facility or transport. Practical significance.The developed numerical models can be used to assess the risk of toxic damage to people in open areas in case of emergency emission of chemically hazardous substances.

References

Беляев, Н.Н., Гунько, Е.Ю., & Росточило, Н.В. (2014). Защита зданий от проникновения в них опасных веществ. Монография. Днепропетровск: Акцент ПП

Біляєв, М.М., Берлов, О.В., & Кириченко, П.С. (2017). Математичне моделювання в задачах промислової безпеки та охорони праці . Монографія. – Кривий Ріг : Вид.Р.А. Козлов

Марчук,Г.И. (1982). Математическое моделирование в проблеме окружающей среды .Москва: Наука

Згуровский, М.З., Скопецкий, В.В., Хрущ, В.К., & Беляев Н.Н. (1997). Численное моделирование распространения загрязнения в окружающей среде . Київ: Наук. думка

Anthony, M.B. (2009). Mathematical Modeling and Decision Analysis for Terrorism Defense. Assessing Chlorine Truck Attack Consequence and Countermeasure Cost Effectiveness. Ph.D. Department of Engineering and Public Policy, Carnegie Mellon University, Pittsburg, Pennsylvania

Biliaiev, M. M., & Kharytonov, M. M. (2011). Numerical Simulation of Indoor Air Pollution and Atmosphere Pollution for Regions Having Complex Topography. NATO Science for Peace and Security Series C: Environmental Security , 87–91

Downloads

Published

2020-01-01

Issue

No. 57 (2019)

Section

Статті

License

All articles are published under the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Authors retain copyright and grant the journal right of first publication.

Authors are permitted and encouraged to deposit the final published version of their article, or the Author's Accepted Manuscript (AAM), in institutional or subject-specific open-access repositories (including the university's own institutional repository, CORE, Zenodo, or Figshare), ensuring maximum visibility, accessibility, and impact of the publication.