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Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection

Zlatev, ZahariDimov, IvanFaragó, IstvánGeorgiev, KrassimirHavasi, ÁgnesOstromsky, Tzvetan — 2013

Applications of Mathematics 2013

Multi-dimensional advection terms are an important part of many large-scale mathematical models which arise in different fields of science and engineering. After applying some kind of splitting, these terms can be handled separately from the remaining part of the mathematical model under consideration. It is important to treat the multi-dimensional advection in a sufficiently accurate manner. It is shown in this paper that high order of accuracy can be achieved when the well-known Crank-Nicolson...

Sensitivity studies of pollutant concentrations calculated by the UNI-DEM with respect to the input emissions

Ivan DimovRaya GeorgievaTzvetan OstromskyZahari Zlatev — 2013

Open Mathematics

The influence of emission levels on the concentrations of four important air pollutants (ammonia, ozone, ammonium sulphate and ammonium nitrate) over three European cities (Milan, Manchester, and Edinburgh) with different geographical locations is considered. Sensitivity analysis of the output of the Unified Danish Eulerian Model according to emission levels is provided. The Sobol’ variance-based approach for global sensitivity analysis has been applied to compute the corresponding sensitivity measures....

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