Advanced Numerical Methods for Complex Environmental Models: Needs and Availability

Author(s): István Faragó, Ágnes Havasi and Zahari Zlatev

DOI: 10.2174/9781608057788113010007

Part C: Treatment of the Chemical Reactions in an Air Pollution Model

Pp: 53-78 (26)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

The mathematical terms describing the chemical reactions introduce nonlinearity in the systems of partial differential equations (PDEs), by which most of the large-scale air pollution models are described. The numerical treatment of these nonlinear terms causes normally great difficulties. Several algorithms for handling the chemical part of a particular air pollution model, the Unified Danish Eulerian Model (UNI-DEM), are described and discussed. The ideas used in the development of these methods are rather general and can also be applied in connection with other air pollution models as well as in the numerical treatment of some systems of PDEs that arise in other areas of science and engineering.

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