气候变化领域集成服务门户(CCPortal): Simulation of atmospheric pollutant dispersion considering a bi-flux process and fractional derivatives

CCPortal

DOI	10.1016/j.apr.2019.09.015
	Simulation of atmospheric pollutant dispersion considering a bi-flux process and fractional derivatives
	Palmeira A.; Xavier P.; Moreira D.
发表日期	2020
ISSN	13091042
卷号	11 期号:1
英文摘要	In this paper, we present an analytical solution of the fractional two-dimensional advection–diffusion equation with a bi-flow evolutionary model, which represents a modification of Fick's law applied to the dispersion of pollutants in the planetary boundary layer. The solution is obtained using Laplace decomposition to derive the Mittag–Leffler function, which is intrinsic to the solution of fractional differential equations. The solutions exhibit fast convergence and are in good agreement with data from the traditional Copenhagen (moderately unstable) and Hanford (stable to neutral) experiments in terms of the influence of the fractional derivative and the fourth-order term representing the retention phenomenon in the bi-flow evolutionary model. For the Copenhagen experiment, the best results are achieved with parameter values of α = 0.95 (fractional order of derivative) and β = 0.50 (retention control), with a normalized mean square error of 0.10 and 100% of results within a factor of two of the observed values. For the Hanford experiment, values of α = 1.00 and β = 1.00 are optimal, giving a normalized mean square error of 0.15 and 83% of results within a factor of two of the observed values, and exhibiting some dependence on the atmospheric stability. © 2019 Turkish National Committee for Air Pollution Research and Control
英文关键词	Advection–diffusion equation; Anomalous dispersion; Bi-flow evolutionary model; Fractional derivative; Laplace decomposition method
语种	英语
来源期刊	Atmospheric Pollution Research
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/120688
作者单位	Manufacturing and Technology Integrated Campus, SENAI CIMATEC, Salvador, BA, Brazil
推荐引用方式 GB/T 7714	Palmeira A.,Xavier P.,Moreira D.. Simulation of atmospheric pollutant dispersion considering a bi-flux process and fractional derivatives[J],2020,11(1).
APA	Palmeira A.,Xavier P.,&Moreira D..(2020).Simulation of atmospheric pollutant dispersion considering a bi-flux process and fractional derivatives.Atmospheric Pollution Research,11(1).
MLA	Palmeira A.,et al."Simulation of atmospheric pollutant dispersion considering a bi-flux process and fractional derivatives".Atmospheric Pollution Research 11.1(2020).