Title: Advanced algorithms for studying the impact of climate changes on ozone levels in the atmosphere

Authors: Zahari Zlatev; Ivan Dimov; István Faragó; Krassimir Georgiev; Ágnes Havasi

Addresses: Department of Environmental Science, Aarhus University, Roskilde, Denmark ' Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria ' MTA-ELTE Numerical Analysis and Large Networks Research Group, H-1117 Budapest, Hungary; Department of Differential Equations, Budapest University of Technology and Economics, Budapest, Műegyetem rkp. 3, 1111 Hungary ' Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria ' MTA-ELTE Numerical Analysis and Large Networks Research Group, H-1117 Budapest, Hungary; Department of Applied Analysis and Computational Mathematics, Eötvös Loránd University, Budapest, Hungary

Abstract: The impact of the increased temperature on some pollution levels is studied by developing climate scenarios and by running them on a period of 16 consecutive years. The mathematical model used in the experiments is a system of nonlinear partial differential equations (PDEs) and the space domain contains the whole of Europe together with some of its surroundings. Difficult computational problems arise after the direct discretisation of the spatial derivatives in the equations. The enormous computational problems can be treated successfully only by resolving five important tasks: 1) applying accurate and efficient numerical algorithms; 2) selecting an appropriate splitting procedure; 3) developing parallel codes; 4) using high-speed computers; 5) exploiting well the cache memories of the parallel computers. Numerical results will be presented in order to illustrate both the efficiency of the code and the fact that the future climate changes will result in consistent increase of some pollution levels.

Keywords: large-scale environmental models; systems of nonlinear PDEs; numerical algorithms; splitting techniques; parallel codes; high-speed computers; cache memory; climate changes; ozone levels; damaging effects.

DOI: 10.1504/IJEP.2019.104522

International Journal of Environment and Pollution, 2019 Vol.66 No.1/2/3, pp.212 - 238

Received: 10 Apr 2018
Accepted: 09 Jan 2019
Published online: 17 Jan 2020 *

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