Methods for Studying the Sensitivity of Air Quality Models and Inverse Problems of Geophysical Hydrothermodynamics

• Published in: Journal of applied mechanics and technical physics Vol. 60; no. 2; pp. 392 - 399
• Main Authors: Penenko, V. V., Penenko, A. V., Tsvetova, E. A., Gochakov, A. V.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.03.2019; Springer Nature B.V
• Subjects: Air quality; Algorithms; Applications of Mathematics; Classical and Continuum Physics; Classical Mechanics; Fluid- and Aerodynamics; Functionals; Geophysical methods; Geophysics; Hydrothermodynamics; Inverse problems; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mechanical Engineering; Parameter sensitivity; Physics; Physics and Astronomy; Pollution sources; variational methods; Novosibirsk agglomeration; monitoring data; air quality model; inverse problems; mathematical simulation; ensemble of sensitivity functions; source estimation
• ISSN: 0021-8944; 1573-8620
• DOI: 10.1134/S0021894419020202

Variational approach and sensitivity theory methods are used to construct algorithms for solving the problems of environmental forecast and design. When studying the behavior of the model in the parameter space, sensitivity functions are calculated as partial derivatives of the target functionals with respect to the model parameters. The sensitivity functions are used to investigate the properties of mathematical models and solve inverse problems. Using the proposed approach, which involves a model of air quality of the Novosibirsk agglomeration and an algorithm based on an ensemble of sensitivity functions, the inverse problem of estimating the position and intensity of pollution sources is solved.