It is known that the existing methods of using electromembrane systems (EMS) do not allow the most efficient water treatment and water treatment at overlimiting current modes, which is why there is a need to determine the operating parameters of electrodialysis plants to prevent complex destructive effects, it is essential limiting mass transfer, and reducing the efficiency of EMS. In addition, in practice, a contradiction is found in practice - an increase in the potential jump in the existing EMS does not provide an intensification of the transfer of salt ions under overlimiting current modes.

The article is devoted to the study of the influence of one of the destructive phenomena - the breakdown of the space charge on the performance of electromembrane systems in highly diluted salt solutions. The aim of this work is a theoretical assessment of the effect of space charge breakdown on the transport of salt ions in electromembrane systems.

A mathematical model based on the Nernst-Planck and Poisson equations has been developed. The process of electrodialysis desalination of a NaCl solution located in a flow chamber between an anion exchange membrane (AEM) and a cation exchange membrane (CEM) is considered. The solution flow is directed from bottom to top. Numerical modeling of the effect of space charge breakdown on EMS performance in highly dilute salt solutions has been carried out.

The new mathematical model and software have been developed for numerical simulation of the effect of space charge breakdown on EMS performance in highly dilute salt solutions.

In this work, using a 2D mathematical model and the formula for the current-voltage characteristic of the desalination channel, the effect of space charge breakdown on the transfer of salt ions in electromembrane systems at various values of the potential jump was determined for the first time. The ranges of currents are determined, which correspond to a high and slight increase in the performance of electromembrane systems, as well as a range of currents in which there is no increase. The obtained results can be used to determine the optimal value of the potential jump according to the criterion of maximum productivity. The results obtained can be applied to the design of industrial EMC to intensify mass transfer and increase productivity.

The article describes the developed software that made it possible to process a large amount of data from observations of the movement and parameters of the aquatic environment in the Sea of Azov, which was obtained during expeditionary research using the ADCP hydrophysical probe, using the filtration procedure. The filtering procedure significantly reduces the spread of data and the amplitude of fluctuations, which, in turn, makes it possible to more adequately evaluate the information obtained during field experiments. For different filter widths, a box filter, a Gauss filter and a Fourier filter were used. In these calculations, the filter width was set based on the size of the hydrodynamics problem to be solved and the grid scale corresponding to this size. The obtained data are planned to be used for numerical simulation of three-dimensional turbulent flows using the LES approach and comparison with the results of averaging by RANS.

The work is devoted to the «neural network-lbp» method of processing satellite images of multispectral water coastal systems for identification of phytoplankton populations of spotted structure: determination of their boundaries, distribution of color gradations and, based on this, determination of the distribution of phytoplankton concentrations inside the spots and the location of the center of mass. The efficiency and effectiveness of the proposed neural network-lbp method is investigated in comparison with the method based on the use of a three-layer neural network. For the analysis, a test set of images is involved – flat shapes with rather complex boundaries, which will allow us to quantify the quality of the algorithms being compared. The results of the work show an increase in recognition accuracy by 1.5-3% when using the proposed method.

The article provides an overview of methods for solving problems of forecasting time series and modeling of complex systems using fuzzy cognitive maps (FCM). The main algorithms used in solving practical problems for complex semi-structured systems are listed, which make it possible to improve the accuracy and reliability of simulation results. For completeness of the review, publications of Russian and foreign researchers working in this area have been studied and described. In addition, the main software tools that implement the existing algorithms were listed and their distinctive features for solving various classes of problems were given. This comparison of software packages allows users to deter-mine the optimal system for further theoretical or practical research.