Preprint 12-2007

On the numerical solution of some problems of environmental pollution

Author(s) : Quang A Dang , Matthias Ehrhardt , Gia Lich Tran, Duc Le

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 12-2007

PACS : 02.70.Bf, 02.50.Ga

Abstract :
Environmental problems are becoming more and more important for our world and their importance will even increase in the future. High pollution of air, water and soil may cause damage to plants, animals and humans. Therefore, the development of industry must be coupled with the protection of the environment. In this connection we shall consider the problems of optimal location of industrial enterprises and optimization of emissions from enterprises for ensuring sanitary environment criteria. Moreover, we study the problem of determination of the coefficients of diffusion and the coefficient of transformation of aerosols. Several numerical experiments illustrate the ability of the presented methods.

Keywords : air pollution, optimal location, sanitary environment criteria, advection-diffusion equation, monotone difference scheme, positive difference scheme, unbounded domains

Notes :
Chapter in: Air Pollution Research Trends, Nova Science Publishers, Inc., Hauppauge, NY 11788, to appear fall 2007.