Computational Mathematics and Information Technologies

Journal Information
ISSN : 2587-8999
Published by: FSFEI HE Don State Technical University (10.23947)
Total articles ≅ 60
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S.V. Protsenko,
Computational Mathematics and Information Technologies; https://doi.org/10.23947/2587-8999-2021-1-1-26-35

Abstract:
The vertical turbulent exchange coefficient parametrization based on the LES approach is constructed in this paper. To implement this approach, water flow velocities pulsations full-scale data at some points of shallow-water systems obtained using an acoustic Doppler flow meter (ADCP) during expedition studies were filtered using two-stage Kalman algorithm, and then averaged, after which the LES approach was applied using subgrid turbulence model. The parametrization of the coefficient of vertical turbulent exchange is used in the wave hydrodynamics mathematical model.
, M.I. Chumak
Computational Mathematics and Information Technologies; https://doi.org/10.23947/2587-8999-2021-1-1-44-50

Abstract:
This article is devoted to the development and research of a mathematical model of water fluid dynamics with variable depth. This model describes the water flow movement, the thermodynamics of ice formation and melting, considers the Coriolis force, horizontal and vertical turbulence of the water environment, the complex geometry of the coastline and bottom, friction on the bottom and wind currents, evaporation, wind speed, and atmospheric density, and the deviation of the pressure field value from the hydrostatic approximation. The article describes the influence of the spatial distribution of temperature, salinity, ionic composition, and hydrostatic pressure on the processes of ice cover formation. The Caspian Sea-was chosen as the object of the simulation. The changes in the temperature and salinity distributions measured by the electrical conductivity of the water, considering the ionic composition of the Caspian Sea waters over a long-term period, are used as input data. Modeling the movement of water flow will allow you to respond to man-made threats in an accelerated time mode. The models of hydrodynamics presented in this paper can be adapted for other reservoirs using the appropriate geoinformation systems.
A.A. Filina, V.V. Sidoryakina, A.E. Chistyakov, A.V. Nikitina
Computational Mathematics and Information Technologies; https://doi.org/10.23947/2587-8999-2021-1-1-10-25

Abstract:
The paper covers the research of microbiological destruction processes of petroleum origin pollutants in a shallow water taking into account a number of determining factors that affect the distribution of pollution in the researched water area: the oil fractional composition, the processes of evaporation, dissolution, biological oxidation of petro-hydrocarbons by microorganisms, as well as hydrodynamic and chemical-biological features of the water. A complex of interrelated spatially inhomogeneous mathematical models was proposed that allow researching the dynamics of microbiological destruction processes of petroleum hydrocarbons in shallow water. Schemes with weight taking into account the partial filling of computational cells of the simulated domain were developed at model discretization that made it possible to significantly increase the accuracy of calculations and reduce the calculation time. Based on a multiprocessor computer system, experimental software has been developed for predictive modeling of the ecological situation of shallow water in the event of accidental pollution by oil and other harmful substances during natural and technogenic challenges.
A.I. Sukhinov, V.V. Sidoryakina, E.A. Protsenko
Computational Mathematics and Information Technologies; https://doi.org/10.23947/2587-8999-2021-1-1-36-43

Abstract:
This paper presents the results of wave regime hydrophysical characteristics calculations in the area of the accumulative shore of the Tsimlyansky reservoir northwestern part. Wave hydrodynamics model based on 3D mathematical model that includes three Navier-Stokes motion equations, the continuity equations for an incompressible fluid was used. The discretization of the hydrodynamic equations was performed using the pressure correction method. Numerical algorithms and the software package implementing them are used to determine the pressure field, the water medium velocity vector field and to plot the pressure a given section of the reservoir water area. The results of the study can be used in the study of hydrophysical processes, assessment of the hydrodynamic impact on the formation of the coast-line and the bottom relief of large plaintype reservoirs in the Southern Russia.
A. A. Sukhinov, S. B. Kirilchik
Computational Mathematics and Information Technologies; https://doi.org/10.23947/2587-8999-2021-1-1-1-9

Abstract:
The article is devoted to the suspensions’ distribution mathematical modeling in the Eastern Pacific Ocean for various scenarios for the ferromanganese nodules extraction. The suspensions propagation model with complex granulometric composition that can interact in an aqueous medium takes into account the suspensions microturbulent diffusion caused by the turbulent aqueous medium movement and the suspensions convection caused by the advective movement of water mass in the ocean; gravitational suspensions deposition under the gravity influence; mutual transitions between different fractions that make up the suspension; interaction of particles with the bottom and with the free surface.
Alexander Sukhinov, Alexander Chistyakov, Inna Kuznetsova, Elena Protsenko, Yulia Belova
Computational Mathematics and Information Technologies, Volume 1; https://doi.org/10.23947/2587-8999-2020-1-1-56-70

Mikhail Stepantsov, Keldysh Institute of Applied Mathematics
Computational Mathematics and Information Technologies, Volume 1; https://doi.org/10.23947/2587-8999-2020-1-1-12-18

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