International Journal of Differential Equations

Numerical Simulation of an Air Pollution Model on Industrial Areas by Considering the Influence of Multiple Point Sources

Pravitra Oyjinda and Nopparat Pochai

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A numerical simulation on a two-dimensional atmospheric diffusion equation of an air pollution measurement model is proposed. The considered area is separated into two parts that are an industrial zone and an urban zone. In this research, the air pollution measurement by releasing the pollutant from multiple point sources above an industrial zone to the other area is simulated. The governing partial differential equation of air pollutant concentration is approximated by using a finite difference technique. The approximate solutions of the air pollutant concentration on both areas are compared. The air pollutant concentration levels influenced by multiple point sources are also analyzed.

Article information

Int. J. Differ. Equ., Volume 2019 (2019), Article ID 2319831, 10 pages.

Received: 8 July 2018
Revised: 16 September 2018
Accepted: 27 January 2019
First available in Project Euclid: 15 March 2019

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Oyjinda, Pravitra; Pochai, Nopparat. Numerical Simulation of an Air Pollution Model on Industrial Areas by Considering the Influence of Multiple Point Sources. Int. J. Differ. Equ. 2019 (2019), Article ID 2319831, 10 pages. doi:10.1155/2019/2319831.

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  • S. A. Konglok and S. Tangmanee, “Numerical solution of advection-diffusion of an air pollutant by the fractional step method,” in Proceeding of the 3rd National Symposium on Graduate Research, Nakonratchasrima, Thailand, July 2002.
  • S. A. Konglok and S. Tangmanee, “A K-model for simulating the dispersion of sulfur dioxide in a tropical area,” Journal of Interdisciplinary Mathematics, vol. 10, no. 6, pp. 789–799, 2007.MR2376696
  • N. Pochai, “A finite element solution of the mathematical model for smoke dispersion from two sources, world academy of science, engineering and technology,” International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, vol. 5, no. 12, pp. 1968–1972, 2011.
  • S. A. Konglok and N. Pochai, “A numerical treatment of smoke dispersion model from three sources using fractional step method,” Advanced Studies in Theoretical Physics, vol. 6, no. 5, pp. 217–223, 2012.
  • K. Lakshminarayanachari, K. L. Sudheer Pai, M. Siddalinga Prasad, and C. Pandurangappa, “A two dimensional numerical model of primary pollutant emitted from an urban area source with mesoscale wind, dry deposition and chemical reaction,” Atmospheric Pollution Research, vol. 4, no. 1, pp. 106–116, 2013.
  • K. Lakshminarayanachari, K. L. S. Pai, M. S. Prasad, and C. Pandurangappa, “Advection-Diffusion numerical model of air pollutants emitted from an urban area source with removal mechanisms by considering point source on the boundary,” International Journal of Application or Innovation in Engineering and Management, vol. 2, pp. 251–268, 2013.
  • S. A. Konglok and N. Pochai, “Numerical computations of three-dimensional air-quality model with variations on atmospheric stability classes and wind velocities using fractional step method,” IAENG International Journal of Applied Mathematics, vol. 46, no. 1, pp. 112–120, 2016.MR3496180
  • P. Oyjinda and N. Pochai, “Numerical simulation to air pollution emission control near an industrial zone,” Advances in Mathematical Physics, vol. 2017, Article ID 5287132, 7 pages, 2017.MR3713061
  • K. Suebyat and N. Pochai, “A numerical simulation of a three-dimensional air quality model in an area under a Bangkok sky train platform using an explicit finite difference scheme,” IAENG International Journal of Applied Mathematics, vol. 47, no. 4, pp. 471–476, 2017.MR3751807
  • K. Suebyat and N. Pochai, “Numerical simulation for a three-dimensional air pollution measurement model in a heavy traffic area under the bangkok sky train platform,” Abstract and Applied Analysis, vol. 2018, Article ID 9025851, 10 pages, 2018.MR3777141 \endinput