By Zahari Zlatev
"Models are frequently the one means of examining measurements to in vestigate long-range shipping, and that is why for the emphasis on them in lots of study programs". B. E. A. Fisher: "A overview of the methods and versions of long-range shipping of air pollutants", Atmospheric surroundings, 17(1983), p. 1865. Mathematical types are (potentially, no less than) strong capacity within the efforts to review transboundary shipping of air toxins, source-receptor relationships and effective methods of lowering the pollution to appropriate degrees. A mathematical version is a classy subject, the improvement of that is according to using (i) a number of mechanisms describing mathematically the actual and chemical houses of the studied phenomena, (ii) various mathematical instruments (first and ideal, partial differenti al equations), (iii) a variety of numerical tools, (iv) pcs (especially, high-speed computers), (v) statistical methods, (vi) quickly and effective visualization and animation thoughts, (vii) quickly tools for manipulation with large units of knowledge (input info, intermediate facts and output data).
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Additional resources for Computer Treatment of Large Air Pollution Models
The time requirement (the CPU time that is needed to run the model on the computer that is available) was the major limiting factor in the development of large LRTAP models until the middle of the 80'ies. It was practically impossible to use LRT AP models in control strategies before the middle of the 80'ies (in such strategies one must carry out many runs in a long simulation process, and the computers were not fast enough to accomplish such a task). It explains why simple models, like RAINS (see again Alcamo et al.
Paolo Zannetti: "Air Pollution Modeling: Theories, Computational Methods and Available Software" , Computational Mechanics Publications, Southampton-Boston, 1990. The long-range transport of air pollutants, the LRTAP, is a very complicated physical phenomenon. Some air pollutants can be transported over long distances to remote areas that are far away from the big emission sources. Moreover, under certain circumstances the transported air pollutants may lead (directly or indirectly) to some damaging effects on plants, animals and humans.
Of course, this is an artificial situation. In a real situation all other physical processes are represented and playa considerable role in the global model. However, by such a consideration (of a pure advection process) one can both simplify the explanation of the main features of the advection process and facilitate the construction of the global mathematical model for studying long-range transport of air pollutants. For example, it is obvious that one can assume that the advection part of a mathematical LRTAP model does not depend on the particular air pollutants that are transported: this means that the transport of any of the air pollutants studied can be described mathematically by using the same partial differential equation.
Computer Treatment of Large Air Pollution Models by Zahari Zlatev