Article information

2014 , Volume 19, ¹ 3, p.27-37

Klimova E.G., Platov G.A., Kilanova N.V.

Development of environmental data assimilation system based on the ensemble Kalman filter

Environmental assessment using the observational data is one of the most pressing problems at the moment. Such an assessment is carried out with the involvement of mathematical models based on data assimilation systems. Kalman filter algorithm is currently one of the most popular approaches to solve the problem of the data assimilation. Ensemble Kalman filter is supposed to be a promising direction in the research on the application of the Kalman filter in the data assimilation. This article outlines currently accepted approaches to solving the problem of data assimilation for the environment, which are based on the ensemble Kalman filter. Along with the approximate description of covariance of the estimation errors using ensemble forecasts and on the basis of the control theory we propose to use sub-optimal algorithms. In these algorithms, the probability averaging is replaced by the time-averaging relied on the assumption of ergodicity of the forecast errors. An application of the proposed assimilation algorithm is considered in the examples given in this article. We deal with the data on passive gas components in the atmosphere and with the problem of simulating processes in the ocean. The numerical results, obtained by use of data assimilation, are analyzed in the case of modeling of passive gas components in the atmosphere over the Siberian region, as well as in the case of modeling of the summer runoff in the Laptev Sea. The simulated data are considered in both examples, taking the actual distribution of observational data. In both examples, the effectiveness of the proposed version of the ensemble Kalman filter is proved.

[full text]
Keywords: data assimilation, ensemble Kalman filter, advection and diffusion model, shelf circulation, river runoff

Author(s):
Klimova Ekaterina Georgievna
Dr. , Associate Professor
Position: Senior Research Scientist
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, 6 Acad. Lavrentjev avenue
Phone Office: (383) 332 42 57
E-mail: klimova@ict.nsc.ru
SPIN-code: 4533-9357

Platov Gennady Alexeevich
Dr.
Position: Leading research officer
Office: Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Address: 630090, Russia, Novosibirsk, prospect Lavrentieva 6
Phone Office: (383)3306450
E-mail: Platov.G@gmail.com
SPIN-code: 2475-5091

Kilanova Natalya Vladimirovna
PhD.
Position: Research Scientist
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, 6 Acad. Lavrentjev avenue
Phone Office: (383) 334 91 66
E-mail: kilanova@ict.sbras.ru


Bibliography link:
Klimova E.G., Platov G.A., Kilanova N.V. Development of environmental data assimilation system based on the ensemble Kalman filter // Computational technologies. 2014. V. 19. ¹ 3. P. 27-37
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