NUMERICAL ANALYSIS OF AN INVERSE PROBLEM ORIGINATED IN PHENOMENON OF POLLUTION AIR URBAN
This paper presents the calibration study of a two - dimensional mathematical model for the problem of urban air pollution. It is mainly assumed that air pollution is afected by wind convection, diffusion and chemical reactions of pollutants. Consequently, a convection-diffusion-reaction equation is...
| Main Authors: | , |
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| Format: | Article |
| Language: | Spanish |
| Published: |
Universidad Nacional de Trujillo
2016-12-01
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| Series: | Selecciones Matemáticas |
| Subjects: | |
| Online Access: | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1253/1163 |
| Summary: | This paper presents the calibration study of a two - dimensional mathematical model for the problem of urban air pollution. It is mainly assumed that air pollution is afected by wind convection, diffusion and chemical reactions of pollutants. Consequently, a convection-diffusion-reaction equation is obtained as a direct problem. In the inverse problem, the determination of the diffusion is analyzed, assuming that one has an observation of the pollutants in a nite time. To solve it numerically the nite volume method is used, the least squares function is considered as cost function and the
gradient is calculated with the sensitivity method. |
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| ISSN: | 2411-1783 |