Treatment of some mathematical models describing long-range transport of air pollutants on vector processors. (English) Zbl 0641.65094
The author discusses the discretation and numerical solution of a large system of partial differential equations modeling the long range transport of air pollutants over large geographical areas (e.g. all of Europe) and long time periods (at least one year). The commonly used discretation scheme results in a very large system of ordinary differential equations (about 10 5 equations for the three (space) dimensional problems) which makes simulation studies intractable on sequential computers. Thus, successful utilization of the algorithm has been previously accomplished only for the two (space) dimensional problem. The author discusses how to vectorize appropriate parts of the algorithm in order to obtain a code which is numerically tractable for even three-dimensional problems (on CRAY type machines).
Reviewer: J.M.Cushing
MSC:
65Z05 | Applications to the sciences |
65N22 | Numerical solution of discretized equations for boundary value problems involving PDEs |
35Q99 | Partial differential equations of mathematical physics and other areas of application |
35G30 | Boundary value problems for nonlinear higher-order PDEs |
92Cxx | Physiological, cellular and medical topics |
65Y05 | Parallel numerical computation |
76Z10 | Biopropulsion in water and in air |