Elsevier, Amsterdam, London, New York, 2006, 393 pp. - ISBN-13:
978-0-444-52209-2
Reliable and robust control strategies for keeping the pollution
caused by harmful chemical compounds below certain safe levels have
to be developed and used in a routine way. Large mathematical
models, in which all of the important physical and chemical
processes are adequately described, can successfully be used to
support this task. However, the use of large-scale mathematical
models in which all of the important physical and chemical
processes are adequately described leads, after the application of
appropriate discretization and splitting procedures, to the
treatment of huge computational tasks. In a typical simulation one
has to perform several hundred runs. In each of these runs one has
to carry out several thousand time-steps and at each time-step one
has to solve numerically systems of coupled ordinary differential
equations containing up to several million equations. Therefore, it
is difficult to treat such large mathematical models numerically
even when fast mode computers are available. Combined research by
specialists from the fields of environmental and ecological
modelling, numerical analysis, and scientific computing must be
carried out in an attempt to resolve successfully the challenging
computational problems that appear when comprehensive environmental
studies are to be carried out.
Contents
Preface
PDE systems arising in air pollution modelling and justification of
the need for high speed computers
Using splitting techniques in the treatment of air pollution
models
Treatment of the advection-diffusion phenomena
Treatment of the chemical part: general ideas and major numerical
methods
Error analysis of the partitioning procedures
Efficient organization of the matrix computations
Parallel computations
Studying high pollution levels 233
Impact of future climate changes on high pollution levels
Implementation of variational data assimilation
Discussion of some open questions
Appendix
Bibliography
Symbol Table. Author Index. Subject Index
Zlatev Z., Dimov I. Computational and numerical challenges in environmental modelling
Похожие разделы
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