Abstract
A mathematical model is constructed for motion of a heavy gas along the underlying terrain on the basis of equations of gas dynamics with allowance for the force of gravity, transfer by air masses, and turbulent diffusion. With the use of the method of coarse particles, the time dependences of the coordinates of the fore front, upper boundary, and volume of the cloud of a heavy gas in the presence and absence of wind are analyzed. It is shown that turbulent diffusion leads to a linear increase in cloud volume in time. Three-dimensional shapes of the heavy gas cloud are obtained for various ambient conditions. It is shown that, despite diffusion, the heavy gas spreads predominantly along the underlying terrain.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
M. E. Berlyand, Modern Problems of Atmospheric Diffusion and Contamination [in Russian], Gidrometeoizdat, Leningrad (1975).
O. V. Dobrocheev, A. A. Kuleshov, and A. L. Lelakin, "A two dimensional model of heavy gas cloud dispersion under industrial accidents," Preprint No. IAE-5339/1, Kurchatov Inst. of Nuclear Energy, Moscow (1991).
R. N. Kuz'min, A. A. Kuleshov, N. P. Savenkova, and S. V. Filippova, "Modeling of accidents on an industrial enterprise with exhaustion of heavy gases and liquids," Mat. Model., 10, No. 8, 33–42 (1998).
V. V. Penenko and E. A. Tsvetova, "Some aspects of solving interrelated problems of ecology and climate," J. Appl. Mech. Tech. Phys., 41, No. 5, 907–914 (2000).
G. I. Marchuk, A. E. Aloyan, V. N. Piskunov, and V. D. Egorov, "Propagation of admixtures in the atmosphere with allowance for condensation," Izv. Ross. Akad. Nauk, Fiz. Atmos. Okeana, 32, No. 5, 745–752 (1996).
J. A. Bussinger, "Basic notions and equations," in: Atmospheric Turbulence and Propagation of Admixtures: Lecture Course [in Russian], Gidrometeoizdat, Leningrad (1985), pp. 18–51.
V. V. Penenko and A. E. Aloyan, Models and Methods for Environment Protection Problems [in Russian], Nauka, Novosibirsk (1985).
O. M. Belotserkovskii and Yu. M. Davydov, Method of Coarse Particles in Gas Dynamics [in Russian], Nauka, Moscow (1982).
O. M. Belotserkovskii and L. I. Severinov, "Conservative method of fluxes' and calculation of a viscous heatconducting gas flow around a finite-size body," Zh. Vychisl. Mat. Mat. Fiz., 13, No. 2, 385–397 (1973).
V. V. Ostapenko, "Numerical simulation of wave flows caused by a shoreside landslide," J. Appl. Mech. Tech. Phys., 40, No. 4, 647–654 (1999).
Yu. M. Davydov, "Structure of approximation viscosity," Dokl. Akad. Nauk SSSR, 245, No. 4, 812–815 (1979).
V. Sh. Shagapov and G. R. Galiaskarova, "Theory of smog accumulation in still air," Izv. Ross. Akad. Nauk, Fiz. Atmos. Okeana, 38, No. 1, 71–80 (2002). 865
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bayanov, I.M., Gil'mullin, M.Z. & Shagapov, V.S. Calculation of Heavy Gas Spreading Over the Earth Surface by a Three-Dimensional Model. Journal of Applied Mechanics and Technical Physics 44, 858–865 (2003). https://doi.org/10.1023/A:1026316306832
Issue Date:
DOI: https://doi.org/10.1023/A:1026316306832