Variational approach to the study of processes of geophysical hydro-thermodynamics with assimilation of observation data

This paper presents a variational approach to solving direct and inverse problems based on the joint use of mathematical models and data monitoring of processes of geophysical hydro-thermodynamics. This approach is used to solve problems related to environmental protection. A variational principle w...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2017-09, Vol.58 (5), p.771-778
Main Authors: Penenko, V. V., Penenko, A. V., Tsvetova, E. A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Ecological risk assessment
Environmental monitoring
Environmental protection
Fluid- and Aerodynamics
Functions (mathematics)
Geophysics
Inverse problems
Iterative algorithms
Iterative methods
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mechanical Engineering
Physics
Physics and Astronomy
Risk assessment
Thermodynamics
Uncertainty
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Summary:This paper presents a variational approach to solving direct and inverse problems based on the joint use of mathematical models and data monitoring of processes of geophysical hydro-thermodynamics. This approach is used to solve problems related to environmental protection. A variational principle with weak constraints is formulated to account for uncertainties and errors in models and data. The inclusion of uncertainties makes it possible to develop direct non-iterative algorithms for sequential assimilation of data obtained by various observation systems. Some criteria and functions for controlling the quality of the natural environment are introduced into the modeling system to solve inverse problems of environmental risk assessment. A problem with data assimilation is considered for the Novosibirsk agglomeration.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894417050029