Simulating the Dynamics of Distribution of Hazardous Substances Emitted by Motor Engines in a Residential Quarter
This article is dedicated to development of
mathematical models for determining the dynamics of
concentration of hazardous substances in urban turbulent
atmosphere. Development of the mathematical models implied
taking into account the time-space variability of the fields of
meteorological items and such turbulent atmosphere data as vortex
nature, nonlinear nature, dissipativity and diffusivity. Knowing the
turbulent airflow velocity is not assumed when developing the
model. However, a simplified model implies that the turbulent and
molecular diffusion ratio is a piecewise constant function that
changes depending on vertical distance from the earth surface.
Thereby an important assumption of vertical stratification of urban
air due to atmospheric accumulation of hazardous substances
emitted by motor vehicles is introduced into the mathematical
model. The suggested simplified non-linear mathematical model of
determining the sought exhaust concentration at a priori unknown
turbulent flow velocity through non-degenerate transformation is
reduced to the model which is subsequently solved analytically.
[1] G.I. Marchuk. Mathematical model approach in the environmental
problem. - ð£.: "Nauka", 1982, 319 p.
[2] G.I. Marchuk. Computational solution of problems of atmosphere and
ocean dynamics. - ð£.: "Nauka", 1973, p. 303.
[3] G.I. Marchuk, K.Y.Kondratyev. Priorities of global ecology. - ð£.:
"Nauka", 1992, p. 263.
[4] S.S.Zilitinkevich. The dynamics of atmospheric boundary layer. - L.:
"Hydrometeoizdat", 1970, p. 292.
[5] S.S.Zilitinkevich. The penetrating turbulent convection. - Tallinn:
"Valgus", 1989, p. 208.
[6] Zilitinkevich., D.V.Chalikov. Determination of universal profiles of
speed velocity and temperature in the ground layer of atmosphere. -
The magazine "Izvestye of the USSR Academy of Sciences:
Atmospheric and ocean physics", vol. 4, Ôäû 3, 1968, pp. 294-302.
[7] S.Zilitinkevich, I.Esau, A.Baklanov. Atmospheric boundary layers in
storms: advanced theory and modelling applications. - Journal of
Advances in Geosciences, Vol. 2, 2005, pp. 47-49.
[8] A.S.Monin, A.M.Yaglom Statistical hydrodynamics. - ð£.: "Nauka",
1965, p. 640.
[9] I.N.Esau, S.S.Zilitinkevich. Universal dependences between turbulent
and mean flow parameters in stably and neutrally stratified planetary
boundary layers. - Journal of Nonlinear Processes in Geophysics,
Vol. 13, 2006, pp. 135-144.
[10] Stanislav Grishin, Janis S. Rimshans, Eugene A. Kopytov, Sharif E.
Guseynov, Oleg V. Schiptsov. Time-dependent problem for
determination of exhaust concentration in urban transport system. -
Autobusy. Technika, Eksploatacija, Systemy Transportowe. No.6,
2010.
[1] G.I. Marchuk. Mathematical model approach in the environmental
problem. - ð£.: "Nauka", 1982, 319 p.
[2] G.I. Marchuk. Computational solution of problems of atmosphere and
ocean dynamics. - ð£.: "Nauka", 1973, p. 303.
[3] G.I. Marchuk, K.Y.Kondratyev. Priorities of global ecology. - ð£.:
"Nauka", 1992, p. 263.
[4] S.S.Zilitinkevich. The dynamics of atmospheric boundary layer. - L.:
"Hydrometeoizdat", 1970, p. 292.
[5] S.S.Zilitinkevich. The penetrating turbulent convection. - Tallinn:
"Valgus", 1989, p. 208.
[6] Zilitinkevich., D.V.Chalikov. Determination of universal profiles of
speed velocity and temperature in the ground layer of atmosphere. -
The magazine "Izvestye of the USSR Academy of Sciences:
Atmospheric and ocean physics", vol. 4, Ôäû 3, 1968, pp. 294-302.
[7] S.Zilitinkevich, I.Esau, A.Baklanov. Atmospheric boundary layers in
storms: advanced theory and modelling applications. - Journal of
Advances in Geosciences, Vol. 2, 2005, pp. 47-49.
[8] A.S.Monin, A.M.Yaglom Statistical hydrodynamics. - ð£.: "Nauka",
1965, p. 640.
[9] I.N.Esau, S.S.Zilitinkevich. Universal dependences between turbulent
and mean flow parameters in stably and neutrally stratified planetary
boundary layers. - Journal of Nonlinear Processes in Geophysics,
Vol. 13, 2006, pp. 135-144.
[10] Stanislav Grishin, Janis S. Rimshans, Eugene A. Kopytov, Sharif E.
Guseynov, Oleg V. Schiptsov. Time-dependent problem for
determination of exhaust concentration in urban transport system. -
Autobusy. Technika, Eksploatacija, Systemy Transportowe. No.6,
2010.
@article{"International Journal of Information, Control and Computer Sciences:62551", author = "S. Grishin", title = "Simulating the Dynamics of Distribution of Hazardous Substances Emitted by Motor Engines in a Residential Quarter", abstract = "This article is dedicated to development of
mathematical models for determining the dynamics of
concentration of hazardous substances in urban turbulent
atmosphere. Development of the mathematical models implied
taking into account the time-space variability of the fields of
meteorological items and such turbulent atmosphere data as vortex
nature, nonlinear nature, dissipativity and diffusivity. Knowing the
turbulent airflow velocity is not assumed when developing the
model. However, a simplified model implies that the turbulent and
molecular diffusion ratio is a piecewise constant function that
changes depending on vertical distance from the earth surface.
Thereby an important assumption of vertical stratification of urban
air due to atmospheric accumulation of hazardous substances
emitted by motor vehicles is introduced into the mathematical
model. The suggested simplified non-linear mathematical model of
determining the sought exhaust concentration at a priori unknown
turbulent flow velocity through non-degenerate transformation is
reduced to the model which is subsequently solved analytically.", keywords = "Urban ecology, time-dependent mathematical
model, exhaust concentration, turbulent and molecular diffusion,
airflow velocity.", volume = "5", number = "5", pages = "515-6", }