摘要
本文针对环境工程中的污染排放控制问题,提出并求解了二维对流-扩散方程的边界条件控制反问题和源项控制反问题,上游单个线源的简单排放,可提为边界条件控制反问题,并应用Green函数直接法实现反演.其计算过程简单,计算速度快,精度高.多个污染源的复杂排放,可提为源项控制反问题,并采用脉冲谱优化法实现反演控制.计算结果表明,该法收敛速度较快,计算效率较高.此外,本文所提出的计算方法还可应用于热输运和泥沙悬移质的控制等方面的问题.
In this paper,the boundary-condition-control inverse problem and the source-control inverse problem of the 2-dimensional convection-diffusion equation are raised and solved in order to deal with the pollution control problem in environmental engineering.If there is only a simple source,it can be presented as the boundary-condition-control inverse problem and solved by the Green function method.The calculation procedure is simple,fast and the result is very accurate.If there are many sources,they may be presented as the source-control inverse problem and solved by means of PST-Optimization.Numerical results show that PST-Optimization has the advantages of fast convergence and high efficiency.The methods presented in this paper can also be applied in the fields of heat transportation,suspended sediment transport,etc.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1993年第5期1-10,共10页
Journal of Hohai University(Natural Sciences)
基金
国家自然科学基金 编号 59079405
关键词
二维
对流扩散方程
环境工程
inverse problem
convection-diffusion equation
boundary-condition
source
pulse spectrum technique (PST))
optimization
variation
