ADM
Implementation of a variable stepsize variable formula method in the time-integration part of a code for treatment of long-range transport of air pollutants. A system of two partial differential equations is used for modelling of long-range transport of pollutants over Europe. The first order space derivatives (the advection terms) are discretized by a pseudospectral algorithm. A discretization of the second order spatial derivatives (the diffusion terms) is carried out by a special technique developed. The arising large systems of ordinary differential equations are integrated by a variable stepsize variable formula method, which is based on the predictor-corrector scheme. The stepsize selection strategy and the formula selection strategy are explained in detail. An accuracy control and a stability control are performed for each time step. Numerical experiments with real meteorological data prove the great efficiency of the applied method and the reliability of the obtained results.
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References in zbMATH (referenced in 7 articles )
Showing results 1 to 7 of 7.
Sorted by year (- Zlatev, Zahari; Dimov, Ivan: Computational and numerical challenges in environmental modelling (2006)
- Zlatev, Zahari: Massive data set issues in air pollution modelling (2002)
- Brown, John; Waśniewski, Jerzy; Zlatev, Zahari: Running air pollution models on massively parallel machines (1995)
- Zlatev, Ahari; Christensen, Jesper; Moth, Jørgen; Wasniewski, Jerzy: Vectorizing codes for studying long-range transport of air pollutants (1991)
- Zlatev, Zahari: Application of predictor-corrector schemes with several correctors in solving air pollution problems (1984)
- Zlatev, Zahari; Berkowicz, Ruwim; Prahm, Lars P.: Implementation of a variable stepsize variable formula method in the time-integration part of a code for treatment of long-range transport of air pollutants (1984)
- Zlatev, Z.; Berkowicz, R.; Prahm, L. P.: Testing subroutines solving advection-diffusion equations in atmospheric environments (1983)