Methods for Studying the Sensitivity of Atmospheric Quality Models and Inverse Problems of Geophysical Hydrothermodynamics
V. V. Penenko1,2, A. V. Penenko1,2, E. A. Tsvetova1, A. V. Gochakov3
1Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
2Novosibirsk State University, Novosibirsk, 630090, Russia
3Siberian Regional Hydrometeorological Research Institute, Novosibirsk, 630099, Russia
Keywords: математическое моделирование, вариационные методы, ансамбль функций чувствительности, обратные задачи, модель качества атмосферы, Новосибирская агломерация, оценка источников, данные мониторинга, mathematical simulation, variational methods, ensemble of sensitivity functions, inverse problems, atmospheric quality model, Novosibirsk agglomeration, source estimation, monitoring data
Abstract
Variational approach and sensitivity theory methods are used to construct algorithms for solving the problems of environmental forecast and design. The behavior of the model in a parameter space is studied by calculating sensitivity functions as partial derivatives of target functions with respect to the model, used to investigate the properties of mathematical models and solutions of inverse problems. Not only the proposed approach implies the atmospheric quality model in a Novosibirsk agglomeration and an algorithm based on an ensemble of sensitivity functions, but is also used to solve the inverse problem of position estimation and pollution source intensity.
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