Air quality modelling: a technical review of mathematical approaches

A short review paper is presented for the subject area of air quality modelling. The paper is geared towards equipping new researchers and workers with a basic appreciation for the technical aspects of their field, providing a staging point for further investigation, and highlighting useful source materials. The paper is introduced through a discussion of the philosophical and practical implications regarding mathematical air quality modelling. A critique of relevant mathematical modelling techniques is presented and includes a treatment of Box, Gaussian, Eulerian, Lagrangian and Particle modelling approaches. Conclusions on the future of mathematical air quality modelling are drawn. Copyright © 1997 Royal Meteorological Society

[1]  I. A. Singer,et al.  RELATION OF GUSTINESS TO OTHER METEOROLOGICAL PARAMETERS , 1953 .

[2]  Tiziano Tirabassi,et al.  KAPPA-G, a non-Gaussian plume dispersion model: description and evaluation against tracer measurements , 1986 .

[3]  Anne J. Ley,et al.  A random walk simulation of two-dimensional turbulent diffusion in the neutral surface layer , 1982 .

[4]  James. Longhurst,et al.  Towards local air quality management in the United Kingdom , 1970 .

[5]  H. Panofsky,et al.  Atmospheric Turbulence: Models and Methods for Engineering Applications , 1984 .

[6]  Steven R. Hanna Some Statistics of Lagrangian and Eulerian Wind Fluctuations. , 1979 .

[7]  Cincinnati WORKBOOK OF ATMOSPHERIC DISPERSION ESTIMATES , 1970 .

[8]  Akula Venkatram An examination of box models for air quality simulation , 1978 .

[9]  C. Sherman A Mass-Consistent Model for Wind Fields over Complex Terrain. , 1978 .

[10]  F. Nieuwstadt,et al.  Time scales of physical and chemical processes in chemically reactive plumes , 1990 .

[11]  C. Hirsch Numerical Computation of Internal and External Flows, Volume 2: Computational Methods for Inviscid and Viscous Flows , 1990 .

[12]  Robert A. Brown,et al.  Fluid Mechanics of the Atmosphere , 1991 .

[13]  Robert L. Lee Numerical modeling of three-dimensional flow and pollutant dispersion around structures , 1994 .

[14]  H. H. Lettau,et al.  Physical and meteorological basis for mathematical models of urban diffusion processes. , 1970 .

[15]  R H Varey,et al.  Atmospheric Diffusion (3rd edn) , 1984 .

[16]  D. Martin The Change of Concentration Standard Deviations with Distance , 1976 .

[17]  Mehmet T. Odman,et al.  On local finite element refinements in multiscale air quality modeling , 1994 .

[18]  Robert W. McMullen,et al.  The Change of Concentration Standard Deviations with Distance , 1975 .

[19]  J. Strikwerda Finite Difference Schemes and Partial Differential Equations , 1989 .

[20]  J. A. van Jaarsveld,et al.  OPS: An operational atmospheric transport model for priority substances , 1993 .

[21]  Weeratunge Malalasekera,et al.  An introduction to computational fluid dynamics - the finite volume method , 2007 .

[22]  F. T. M. Nieuwstadt,et al.  Direct and large-eddy simulations of turbulence in fluids , 1994, Future Gener. Comput. Syst..

[23]  M. E. Teske,et al.  Second-order closure modeling of diffusion in the atmospheric boundary layer , 1976 .

[24]  D. Aron Jazcilevich,et al.  The random choice method in the numerical solution of the atmospheric transport equation , 1994 .

[25]  Paolo Zannetti New Monte Carlo scheme for simulating Lagranian particle diffusion with wind shear effects , 1984 .

[26]  Alex E. S. Green,et al.  Analytic Extensions of the Gaussian Plume Model , 1980 .

[27]  Gilbert M. Masters,et al.  Introduction to Environmental Engineering and Science , 1991 .

[28]  David R. Basco,et al.  Computational fluid dynamics - an introduction for engineers , 1989 .

[29]  Richard T. McNider,et al.  Diurnal wind-structure variations and dispersion of pollutants in the boundary layer , 1993 .

[30]  F. Gifford,et al.  Use of routine meteorological observations for estimating atmospheric dispersion , 1961 .

[31]  S R Hanna,et al.  The quest for an advanced regional air quality model. , 1994, Environmental science & technology.

[32]  R W Hockney,et al.  Computer Simulation Using Particles , 1966 .

[33]  F. Pasquill,et al.  Atmospheric dispersion of pollution , 1971 .

[34]  D. B. Turner,et al.  Air quality simulation models from EPA , 1989 .

[35]  Erik Lundtang Petersen,et al.  The box model and the acoustic sounder, a case study , 1979 .

[36]  Steven R. Hanna,et al.  Modelling urban air pollution. , 1973, Atmospheric environment.

[37]  Maynard E. Smith The Forecasting of Micrometeorological Variables , 1951 .

[38]  G. Watson,et al.  Computer simulation , 1988 .

[39]  R. Lange,et al.  ADPIC—A Three-Dimensional Particle-in-Cell Model for the Dispersal of Atmospheric Pollutants and its Comparison to Regional Tracer Studies , 1978 .

[40]  D. Chock A comparison of numerical methods for solving the advection equation—III , 1991 .

[41]  Charles Hirsch,et al.  Numerical computation of internal & external flows: fundamentals of numerical discretization , 1988 .

[42]  F. T. M. Nieuwstadt,et al.  Atmospheric Turbulence and Air Pollution Modelling , 1982 .

[43]  M. Bayramoğlu,et al.  Air pollution modelling in Erzurum city. , 1993, Environmental pollution.

[44]  Roger A. Pielke,et al.  The Use of a Mesoscale Numerical Model for Evaluations of Pollutant Transport and Diffusion in Coastal Regions and over Irregular Terrain , 1983 .

[45]  J. Seinfeld Atmospheric Chemistry and Physics of Air Pollution , 1986 .