Analytic modeling of two-dimensional transient atmospheric pollutant dispersion by double GITT and Laplace Transform techniques

被引:19
作者
Cassol, Mariana [1 ]
Wortmann, Sergio [2 ]
Rizza, Umberto [1 ]
机构
[1] CNR ISAC, Inst Atmospher Sci & Climate, I-73100 Lecce, Italy
[2] Univ Fed Rio Grande do Sul, Escola Tecn, BR-90035007 Porto Alegre, RS, Brazil
关键词
double GITT; analytical solution; Laplace transform; atmospheric dispersion; advection-diffusion equation; LAYER; DIFFUSION; PBL;
D O I
10.1016/j.envsoft.2008.06.001
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
An analytical solution for the transient two-dimensional atmospheric pollutant dispersion problem is presented. The approach used in this problem utilizes the double GITT (Generalized Integral Transform Technique), the Laplace Transform and the matrix diagonalization. Furthermore, mathematical filters are used due to the existence of non-homogeneous boundary conditions. The results we obtained are compared with experimental data for short range downwind dispersion utilizing two well-known experimental dispersion datasets (Copenhagen and Prairie Grass). It is shown that the present analytical approach give good results for downwind concentration except for receptors very close to the release points were any Euierian approach based on K-closure is known to fail. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:144 / 151
页数:8
相关论文
共 34 条
[1]  
[Anonymous], 1986, ENV POL SUS DEV
[2]  
[Anonymous], 1922, P LONDON MATH SOC, DOI 10.1112/plms/s2-20.1.196
[3]  
[Anonymous], 1995, PHYS FLUIDS
[4]  
BARAD ML, 1958, 59 GRD GEOPH RES
[5]  
Blackadar A., 1997, TURBULENCE DIFFUSION
[6]  
Cotta R., 1993, Integral Transforms in Computational Heat and Fluid Flow, V3, DOI DOI 10.1201/9781003069065
[7]  
Cotta RenatoM., 1997, HEAT CONDUCTION LUMP
[8]  
Degrazia GA, 2002, NUOVO CIMENTO C, V25, P207
[9]  
DEGRAZIA GA, 1997, BEITR PHYS ATMOS, V70, P57
[10]   Application of a multiscale, coupled MM5/chemistry model to the complex terrain of the VOTALP valley campaign [J].
Grell, GA ;
Emeis, S ;
Stockwell, WR ;
Schoenemeyer, T ;
Forkel, R ;
Michalakes, J ;
Knoche, R ;
Seidl, W .
ATMOSPHERIC ENVIRONMENT, 2000, 34 (09) :1435-1453