Fast Isogeometric Analysis Simulations of a Process of Air Pollution Removal by Artificially Generated Shock Waves
Abstract: Large concentrations of particulate matter in residential areas are related to the lack of vertical movements of air masses. Their disappearance is associated with the occurrence of the most common ground temperature inversion, which inhibits the natural air convection. As a result, air layers separated by a temperature inversion layer are formed, which practically do not interact with each other. Therefore, to reduce the concentration of particulate matter, mixing of air layers should be forced, or natural processes should be restored. For this purpose, it was proposed to generate shock waves of high pressure in the vertical direction to mix the polluted air and break the inversion layer locally. This paper performs fast isogeometric analysis simulations of the thermal inversion and pollution removal process. We employ a linear computational cost solver using Kronecker product-based factorization. We compare our numerical simulations to an experiment performed with an anti-hail cannon in a highly polluted city of Kraków, Poland.
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