# Modelling of the large-scale cloud dynamics in powerful explosions of a screening consumer in the inhomogeneous atmosphere

## Keywords:

explosion, Proton-M, cloud, turbulence, finite volume method, modelling, LES## Abstract

In this paper, we consider the dynamics of a large-scale cloud formed in strong explosions in

an inhomogeneous atmosphere, with allowance for turbulent mixing and adiabatic expansion.

Numerical simulation is carried out on the basis of the solution of the three-dimensional filtered

non-stationary Navier-Stokes equation, the continuity equation, the concentration equation, the

enthalpy equation, and the equation of state for compressible media. The modified solver is based

on the OpenFOAM mathematical physics library. To close the basic equations, a viscous model of

turbulence is used. The change in the size of the cloud in the atmosphere is determined depending

on the thermodynamic parameters. The calculation of the explosion energy calculated for the

remainder of the Proton-M carrier rocket was made.

## References

[2] Biryukov GP Elements of the theory of the design of space-rocket complexes / GP Biryukov, VI Smirnov. - M. Izd-vo

MAI, 2003. P - 288.

[3] Fan Y., Fahong L., Jianping SHI . Applications of GIS in Environment Monitoring [electronic

resource]. - Technical Division of Surveying and Mapping, Xian, Shaanxi, China,2011. URL:

http://www.seiofbluemountain.com/upload/product/201105/2011fzjz31.pdf (date of the application: 16.07.2017)

[4] Ferziger and Peric, Computational Methods for Fluid Dynamics. - 3., rev. ed. – Berlin; Heidelberg; New York; Barcelona; Hong Kong; London; Milan; Paris; Tokyo: Springer, 2002. ISBN 3-540-42074-6,-P.251-253.

[5] Garnier, E., Adams, N., and Sagaut, P.: Large Eddy Simulation for Compressible Flows, doi:10.1007/978-90-481-2819-8,

Springer, the Netherlands,2009. -P.276.

[6] Goodchild M. F. GIS and Modeling Overview [electronic resource]. - Ch. 1. National center for geographic information

and analysis university of California Santa Barbara, California. 2008. URL: http://geog.ucsb.edu/ good/papers/414.pdf

(date of the application: 28.08.2017)

[7] Ishii M. and Yamamoto K. "An Environmental Risk Evaluation Method Employing Atmospheric Dispersion Models and

GIS,"Journal of Environmental Protection, Vol. 4 No. 12, 2013, P. 1392-1408. doi: 10.4236/jep.2013.412160.

[8] Jakala D. A GIS Enabled Air Dispersion Modeling Tool for Emergency Management [electronic resource].

- Department of Resource Analysis, Saint Mary’s University of Minnesota, Minneapolis, 2007.URL:

http://www.gis.smumn.edu/GradProjects/JakalaS.pdf (date of the application: 06.08.2017)

[9] Mitchell E. ESRI GIS Analysis Guide. Geographical regularities and interactions / / M: Moscow State University. MV

Lomonosov, Faculty of Geography, 2001. - Volume 1. - Per from the English. – P.190.

[10] Onufriyev, A.T. Teoriya dvizheniya vikhrevogo koltsa pod peystviyem sily tyazhesti. Podyem oblaka atomnogo vzryva //PMTF. 1967. №2. -P.3-15.

[11] Piscaglia, F., Montorfano, A., and Onorati, A.: Towards the LES simulation of IC engines with parallel topologically

changing meshes, SAE Int. J. Engines, 6, 926–940, doi:10.4271/2013-01-1096, 2013.

[12] Shaner J., Wrightsell J. Editing in ArcMap // M: MSU, 2002. – P. 226.

[13] Ungerer, M. J., M. F. Goodchild. 2002. Integrating spatial data analysis and GIS: A new implementation using the

Component Object Model (COM) / International Journal of Geographical Information Science. 2002. – Vol. 16. - Р

41–54.

[14] Zeiler M. Modeling of our world. ESRI’s Guide to Geodatabase Design // M: Moscow State University. MV Lomonosov, Faculty of Geography, 2001. – P.254.

[15] Development of a software package for simulating the dynamics of a cloud formed during a ground-based explosion of a carrier rocket: a report on the research project / RSE "SRC" Garish-Ecology ": hands. Zhubatov Zh. - Almaty, 2015. – P.152. - No.GR 0115РК01057. - Inv. No. 0215RK01616.

## Downloads

## How to Cite

*Journal of Mathematics, Mechanics and Computer Science*,

*96*(4), 52–64. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/575