Simulation of coastal aerodynamics taking into account forest plantations
Yuliya Valeriyevna Belova, 
Elena Anatolevna Protsenko,
Asya Mikhailovna Atayan,
Inna Aleksandrovna Kurskaya
Elena Anatolevna Protsenko,
Asya Mikhailovna Atayan,
Inna Aleksandrovna Kurskaya https://doi.org/10.23947/2587-8999-2018-2-2-91-105
Abstract
The aim of the work is to study the influence of forest plantations on the distribution of pollutants in the ground layer of the atmosphere. The model that takes into account a variety of factors: the presence of forest plantations, the variability of pressure, density and temperature, the presence of a multicomponent impurity, etc., was proposed for the numerical modeling of the process of transferring air pollutants to air. The scheme obtained as a result of a linear combination of the central difference scheme and the «CABARET» scheme was constructed to approximate the convection operator in this paper. The use of cabaret schemes allowed to develop the mathematical model that has the property of stability for a wider class of input parameters. The constructed algorithms are implemented in the form of the software complex that allows to determine the influence of the forest plantations on the distribution of pollutants under the influence of ascending air currents. The developed model, the algorithms that implement it, and the software complex constructed allowed to carry out the numerical experiments that simulate the distribution of pollutants in the surface layer of the atmosphere in the presence of forest plantations. The influence of the presence of vegetation on the distribution of pollutants under the action of ascending air currents is studied: pollutants under the influence of ascending air currents rise upwards in the area of forest plantations. The influence of the forest plantations area width on the air velocity and pollutants concentration fields is studied. An analysis of the results of numerical experiments allows to conclude that the distribution of pollutants in a multicomponent air environment is most significantly affected by the density of vegetation, and insignificantly influenced by the width of the forest plantations area.
Keywords
numerical modeling,
process of transferring air pollutants,
central difference scheme,
«CABARET» scheme,
convection operator
Supporting agencies: The research is done with the financial support from the RSF, Project No. 17-11-01286.
About the Authors
Yuliya Valeriyevna Belova
Don State Technical University
(1 Gagarin sq., Rostov-on-Don, Russian Federation)
Russian Federation
Russian Federation
Belova Yuliya Valeriyevna, Don State Technical University (1 Gagarin sq., Rostov-on-Don, Russian Federation), Research engineer
Elena Anatolevna Protsenko
Taganrog Institute of A.P. Chekhov (branch) RSUE
(Initiative Street, Taganrog, Russian Federation)
Russian Federation
Russian Federation
Protsenko Elena Anatolevna, Taganrog Institute of A.P. Chekhov (branch) RSUE (Initiative Street, Taganrog, Russian Federation), Candidate of Science in Physics and Maths, Associate professor
Asya Mikhailovna Atayan
Don State Technical University
(1 Gagarin sq., Rostov-on-Don, Russian Federation)
Russian Federation
Russian Federation
Atayan Asya Mikhailovna, Don State Technical University (1st Gagarin Square, Rostov-on-Don, Russian Federation), postgraduate student
Inna Aleksandrovna Kurskaya
Don State Technical University
(1 Gagarin sq., Rostov-on-Don, Russian Federation)
Russian Federation
Russian Federation
Kurskaya Inna Aleksandrovna, Don State Technical University (1st Gagarin Square, Rostov-on-Don, Russian Federation), postgraduate student
References
1. Sukhinov, A.I., Chistyakov, A.E., Alekseenko, E.V. (2011) Mathematical Models and Computer Simulations, 3(5), с. 562-574.
2. Sukhinov, A.I., Sukhinov, A.A. Reconstruction of 2001 Ecological Disaster in the Azov Sea on the Basis of Precise Hydrophysics Models (2005) Parallel Computational Fluid Dynamics 2004: Multidisciplinary Applications, pp. 231-238.
3. Vasiliev, V.S., Sukhinov, A.I. (2003) Matem. Modelling, 15 (10), pp. 17-34.
4. Leontyev, I.O. (2001) Coastal Dynamics: Waves, Moving Streams, Deposits Drifts GEOS, Moscow.
5. Alekseenko, E., Roux, B., Sukhinov, A., Kotarba, R., Fougere, D. Nonlinear hydrodynamics in a mediterranean lagoon (2013) Nonlinear Processes in Geophysics, 20 (2), pp. 189-198.
6. Sukhinov, A.I., Chistyakov, A.E., Protsenko, E.A. Mathematical modeling of sediment transport in the coastal zone of shallow reservoirs (2014) Mathematical Models and Computer Simulations, 6 (4), pp. 351-363.
7. A.I. Sukhinov, Yu.V. Belova, A.E. Chistyakov Solution of the matter transport problem at high Peclet numbers // Vychislitelnye metody i programmirovanie, 2015, V. 18, №. 4, p. 371-380.
8. V.A. Gushchin Family of quasi-monotonic finite-difference schemes of the second-order of approximation // Math. Models and Comp. Simulations, 2016, V. 8, № 5, p. 487–496.
9. O.M. Belotserkovskii, V.A. Gushchin, V.N. Kon'shin The splitting method for investigating flows of a stratified liquid with a free surface // USSR Computational Mathematics and Mathematical Physics, 1987, V. 27, № 2, p. 181–191.
10. A.A. Samarskiy, P.N. Vabishchevich Numerical methods for solving convection-diffusion problems. - M.: Editorial URSS, 1999.
11. V.M. Goloviznin, A.A. Samarskii Finite difference approximation of convective transport equation with space splitting time derivative // Math. Models and Comp. Simulations, 1998, v. 10, № 1, p. 86–100.
12. Marchuk, G.I., Agoshkov, V.I. (1981) Introduction to Projection-grid Methods (Science. The Main Edition of Physics and Mathematics, Moscow.
13. Vaseva, I.A., Kofanov, A.V., Liseikin, V.D., Likhanova, Y.V., Kharitonchik, A.M. (2010) Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 50 (1), pp. 99-117.
14. Samarskii, A.A., Gulin, A.V. (2003) Numerical Methods of Mathematical Physics. 2-nd ed. (The scientific world, Moscow.
15. Belotserkovsky, O.M. (2004) Numerical Modeling at Mechanics Continuous Environments. Fizmatlit, Moscow.
16. Chetverushkin, B.N. Resolution limits of continuous media mode and their mathematical formulations (2013) Mathematical Models and Computer Simulations, 5 (3), pp. 266-279.
17. Sukhinov, A.I., Chistyakov, A.E., Timofeeva, E.F., Shishenya, A.V. Mathematical model for calculating coastal wave processes (2013) Mathematical Models and Computer Simulations, 5 (2), pp. 122-129.
18. Belotserkovskii, O.M. (2003) Turbulence: New Approaches. Nauka, Moscow.
19. Samarskii, A.A. (1989) The Theory of Difference Schemes. Science, Moscow.
20. Belotserkovskii, O.M., Gushchin, V.A., Shchennikov, V.V. Use of the splitting method to solve problems of the dynamics of a viscous incompressible fluid (1975) USSR Computational Mathematics and Mathematical Physics, 15 (1), pp. 190-200.
21. Nikitina, A.V., Sukhinov, A.I., Ugolnitsky, G.A., Usov, A.B., Chistyakov, A.E., Puchkin, M.V., Semenov, I.S. Optimal control of sustainable development in the biological rehabilitation of the Azov Sea (2017) Mathematical Models and Computer Simulations, 9 (1), pp. 101-107.
22. Sukhinov, A.I., Chistyakov, A.E., Levin, I.I., Semenov, I.S., Nikitina, A.V., Semenyakina, A.A. Solution of the problem of biological rehabilitation of shallow waters on multiprocessor computer system (2016) 2016 5th International Conference on Informatics, Electronics and Vision, ICIEV 2016, art. no. 7760175, pp. 1128-1133.
23. Sukhinov, A., Chistyakov, A., Nikitina, A., Semenyakina, A., Korovin, I., Schaefer, G. Modelling of oil spill spread (2016) 2016 5th International Conference on Informatics, Electronics and Vision, ICIEV 2016, art. no. 7760176, pp. 1134-1139.
24. Sukhinov, A.I., Khachunts, D.S., Chistyakov, A.E. A mathematical model of pollutant propagation in near-ground atmospheric layer of a coastal region and its software implementation (2015) Computational Mathematics and Mathematical Physics, 55 (7), pp. 1216-1231.
25. Sukhinov, A.I., Chistyakov, A.E., Shishenya, A.V. Error estimate for diffusion equations solved by schemes with weights (2014) Mathematical Models and Computer Simulations, 6 (3), pp. 324-331.
26. Buzalo, N., Ermachenko, P., Bock, T., Bulgakov, A., Chistyakov, A., Sukhinov, A., Zhmenya, E., (...), Zakharchenko, N. Mathematical modeling of microalgae-mineralization-human structure within the environment regeneration system for the biosphere compatible city (2014) Procedia Engineering, 85, pp. 84-93.
27. Sukhinov, A.I., Chistyakov, A.E. Adaptive modified alternating triangular iterative method for solving grid equations with a non-self-adjoint operator (2012) Mathematical Models and Computer Simulations, 4 (4), pp. 398-409.
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For citations:
Belova Yu.V., Protsenko E.A., Atayan A.M., Kurskaya I.A. Simulation of coastal aerodynamics taking into account forest plantations. Computational Mathematics and Information Technologies. 2018;2(2). https://doi.org/10.23947/2587-8999-2018-2-2-91-105
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