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Adjoint method for the optimum planning of industrial pollutant sources
Liu, F ; Hu, F ; Zhu, J
刊名science in china series d earth sciences
2005
关键词optimum planning industrial pollutant sources adjoint equation penalty function gradient
DOI10.1360/04yd0203
英文摘要The optimum planning of industrial pollutant sources, which optimizes the economic object without violating environmental constraints, is an important and hard task to be conquered. In this paper, an adjoint method is developed to solve the problem. The penalty function is introduced to deal with the environmental inequality constraints, and Lagrange function is constructed to derive the adjoint equation and the gradient of the object function. In this means, the gradient of the object function can be calculated by solving the adjoint equation, and the information from the gradient is used to make the object function descend and approach to an optimal solution after some iterations. A two-dimensional, simplified model is used for numerical experiments. The theoretical derivations are verified by the results of the experiments. Furthermore, the adjoint method is shown to be of excellent convergence and efficiency, which is adaptive to the fast development of air quality numerical models and super computers.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000232363900018&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Geosciences, Multidisciplinary; SCI(E); EI; 2; ARTICLE; 8; 1270-1279; 48
语种英语
内容类型期刊论文
源URL[http://ir.pku.edu.cn/handle/20.500.11897/253206]  
专题环境科学与工程学院
推荐引用方式
GB/T 7714
Liu, F,Hu, F,Zhu, J. Adjoint method for the optimum planning of industrial pollutant sources[J]. science in china series d earth sciences,2005.
APA Liu, F,Hu, F,&Zhu, J.(2005).Adjoint method for the optimum planning of industrial pollutant sources.science in china series d earth sciences.
MLA Liu, F,et al."Adjoint method for the optimum planning of industrial pollutant sources".science in china series d earth sciences (2005).
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