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5tions were performed on the basis of the mesoscale model of atmospheric dynamics developed in the ICMMG
SB RAS. The initial distributions of the fields of meteorological elements and the conditions at the upper
boundary of the modeling domain were set from the calculations of the COSMO-SIB6 prognostic mesoscale
model.
The work on the development of basic mathematical models is carried out within the framework of the state task of
the ICMMG SB RAS No. 0251-2021-0003. The implementation of special scenarios for solving the problems of continua-
tion is supported by the RFBR under grant No. 20-01-00560.
Numerical analysis of the processes of aerosol pollution of the Baikal natural territory
V. F. Raputa1, V. I. Grebenshchikova 2, A. A. Lezhenin1, T. V. Yaroslavtseva1, R. A. Amikishieva1
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS
2Vinogradov Institute of Geochemistry SB RAS
Email: raputa@sscc.ru
DOI 10.24412/cl-35065-2021-1-01-47
Using model descriptions of the processes of atmospheric transport of impurities and data from monitor-
ing studies of pollution of vegetation and snow cover of the Baikal natural territory (BNT), the formulation of
problems of low-parameter estimation of concentration fields and characteristics of sources is discussed. To
increase the stability of the solutions of the considered inverse problems, algorithms for optimizing the place-
ment and assessing the information content of monitoring systems are used.
Examples of approbation of the proposed methods for assessing pollution fields in the vicinity of large in-
dustrial facilities of BNT are given. The quality of the obtained results is checked by comparing the measured
and calculated concentrations of impurities at the control points of observation, comparing the experimental
and numerical results with the data of satellite observations.
The work was supported by the Ministry of Science and Higher Education of the Russian Federation, the grant
No. 075-15-2020-787for implementation of Major scientific projects on priority areas of scientific and technological de-
velopment (the project "Fundamentals, methods and technologies for digital monitoring and forecasting of the environ-
mental situation on the Baikal natural territory").
Joint realisation of algorithms for variational assimilation of salinity, temperature and sea level at the open
boundary
T. O. Sheloput1,2, V. I. Agoshkov1,3
1Marchuk Institute of Numerical Mathematics RAS
2Moscow Institute of Physics and Technology
3Lomonosov Moscow State University
Email: sheloput@phystech.edu
DOI 10.24412/cl-35065-2021-1-01-48
An approach to taking into account open boundaries in hydrothermodynamics modeling, based on the
theory of inverse problems, the use of adjoint equations and methods of variational data assimilation, is con-
sidered. The formulation of boundary conditions at open boundaries is an actual problem in the modeling of
circulation of seas, bays and other open water objects. The algorithms for variational assimilation of salinity,
temperature and sea level [1] at the open boundary are presented, the results of the numerical experiment on
their joint realisation in the hydrodynamics model are discussed. The simulation results are compared with the
observational data from various sources.
This work was supported by the Russian Foundation for Basic Research (grant 19-01-00595).
References
1. Agoshkov V. I., Zalesny V. B., Sheloput T. O. Variational Data Assimilation in Problems of Modeling Hydrophysical
Fields in Open Water Areas // Izvestiya, Atmospheric and Oceanic Physics. 2020. V. 56, N. 3. P. 253-267.
Construction of a model of the Earth's ion-magnetosphere, which determines the dynamics
of the propagation of a radar pulse
O. V. Shestakova
Moscow Aviation Institute (National Research University)
Email: Olay.sova@yandex.ru
DOI 10.24412/cl-35065-2021-1-01-49
The expansion of the scale of the tasks solved by the supporting space systems requires the improvement
of methods and algorithms used for processing trajectory measurements in order to increase their reliability
and accuracy of determining the motion of the aircraft.
Various factors influence the accuracy of the estimation of motion parameters.
To solve the set tasks, it is necessary to build a mathematical model of the Earth's ion-magnetosphere,
close to the real one. In this case, it is necessary to take into account the various properties and characteristics
of the Earth's ion-magnetosphere.
Effect of the shape of moving external load on ice deflections and strains distribution in a frozen channel
T. A. Sibiryakova, N. A. Osipov, K. A. Shishmarev
Altai State University, Barnaul
Email: shishmarev.k@mail.ru
DOI 10.24412/cl-35065-2021-1-01-50
Deflections of an ice cover in a frozen channel caused by a moving load are considered. The channel has a
rectangular cross-section. The fluid in the channel is inviscid, incompressible and covered with ice. The ice cov-
er is modeled as a thin elastic plate with constant thickness. The flow caused by the ice deflections is potential.
The problem is solved within the linear theory of hydroelasticity [1]. The load is modeled by a pressure distri-
bution and moves along the channel at a constant speed. The load is of arbitrary shape and vary in calcula-
tions. The problem using the Fourier transform along the channel is reduced to the problem with respect to
the deflections profile across the channel, which is solved by the method of normal modes [2]. The solution is
obtained as the sum of the integrals of the inverse Fourier transform. It is shown that parallel or sequential
motion of loads can increase stresses in the ice cover both on the channel walls and between loads. The nu-
merical and analytical study of the considered problem is presented. The problem of the motion of an external
load along unbounded ice was studied in [1], along the central line of the channel in [3].
The work is supported by the State Assignment of the Russian Ministry of Science and Higher Education entitled
`Modern methods of hydrodynamics for environmental management, industrial systems and polar mechanics' (Govt. con-
tract code: FZMW-2020-0008, 24 January 2020).
References
1. Squire V. Moving loads on ice plates. Kluwer Academic Publishers, 1996.
2. Korobkin A.A., Khabakhpasheva T.I.. Plane problem of asymmetrical wave impact on an elastic plate // J. Of
Applied Mechanics And Technical Physics. 1998. V.39(5). pp. 782-791.
