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• MODELING RESULTS OF THE TURBULENT SURFACE LAYER ELECTRODYNAMIC STRUCTURE

  О.V. Belousova, G.V. Kupovkh, А.G. Klovo, V.V. Grivtsov

  2022-11-01

  Abstract ▼

  The article presents the results of mathematical modeling of turbulent surface layer
  electrodynamic structure. A model of a stationary turbulent electrode effect operating near the
  earth's surface is used. The analysis of equations by methods of similarity theory allowed us to
  make a number of reasonable physical assumptions that allowed us to obtain analytical solutions.
  Analytical formulas have been obtained for calculating the profiles of concentrations of small ions
  (aeroions), the density of the space electric charge and the electric field strength in a turbulent
  electrode layer. As a result of mathematical modeling, the dependences electrical characteristics
  in surface layer on the values of the electric field, the turbulent mixing degree and aerosol pollution
  of the atmosphere are investigated. It is shown that the parameter of the electrode effect (the
  ratio of the values of the electric field strength on the earth's surface and at the upper boundary of
  the electrode layer) practically does not depend on atmospheric conditions, whereas the height of
  the electrode layer and, accordingly, the scale of the distribution of the electrical characteristics
  of the surface layer vary significantly. The intensification of turbulent mixing in the surface layer
  leads to an increase in the height of the electrode layer and, as a consequence, the scale of distribution
  of its parameters. The strengthening of the electric field or air pollution by aerosol particles of sufficient concentration leads to a decrease in its height. An increase in the concentration
  of aerosol particles in the atmosphere reduces the values of the electric charge density at the
  earth's surface. Theoretical calculations are in good agreement with experimental data and the
  results of numerical modeling of the surface layer electrical structure. The analytical formulas
  obtained in the work for calculating the electrical characteristics of the surface layer and the results
  of calculations can be useful in solving a number of applied problems of geophysics, in particular
  for monitoring the electrical state of the atmosphere.

• MODELING OF THE NON-TURBULENT SURFACE LAYER ELECTRODYNAMIC STRUCTURE

  G.V. Kupovkh, A.G. Klovo, V.V. Grivtsov, О. V. Belousova

  2022-08-09

  Abstract ▼

  The article presents an electrodynamic model of the atmospheric surface layer caused by
  the action of the electrode effect near the earth's surface, and an analysis of its equations by methods
  of similarity theory. Mathematical models of the surface layer electrical state in the approximations
  of the classical and turbulent electrode effect are considered separately. In the mathematical
  formulation of modeling problems, a number of well-founded physical assumptions were created
  that made it possible to obtain analytical solutions to the equations. Analytical formulas have
  been obtained for calculating the profiles of aeroion concentrations, the density of the space electric
  charge and the electric field in the electrode layer. As a result of mathematical modeling, the
  dependences of the electrical characteristics distribution in the surface layer on the values of the
  electric field, the degree of air ionization and aerosol pollution of the atmosphere are investigated.
  It is shown that the ratio of the electric field values on the earth's surface and at the upper boundary
  of the electrode layer is almost constant. The increasing of the electric field, the rate of air
  ionization and the presence of sufficient concentration aerosol particles leads to a decrease in the
  thickness of the electrode layer and, as a consequence, the scale of distribution of its parameters.
  An amplification in the degree of ionization increases, and an increase in the concentration of
  aerosol particles in the atmosphere decreases the values of the electric charge density in the surface
  layer. Theoretical calculations are in good agreement with experimental data and the results
  of numerical modeling of the surface layer electrical structure. The analytical formulas obtained
  in the work for calculating the electrical characteristics of the surface layer and the results of
  calculations can be useful in solving a number of applied problems of geophysics, in particular for
  monitoring the electrical state of the atmosphere.

• EVALUATION OF THE STATE OF DYNAMIC WEIGHING BY THE KALMAN FILTER METHOD

  Е.V. Zargaryan, Y.A. Zargaryan, А. Y. Nomerchuk

  2022-05-26

  Abstract ▼

  Currently, due to widespread computerization, the development of automated control systems
  is relevant. Due to the development of small businesses, the purchase of commercially available
  systems is a very expensive solution. It is possible to create similar control systems based on
  inexpensive microprocessor kits (in this particular case, the K1816VE35 microprocessor kit is
  used). In the future, such a system will not be difficult to improve, and it is also easy to implementinterfacing with various electronic computers (control from a personal computer). A system for
  measuring and regulating bulk raw materials (an automated weighing system) is to be developed,
  which provides control of the pneumatic transport automation with a 2-speed rotary dispenser,
  through which bulk raw materials are fed to a weighing hopper suspended on a load-bearing device.
  Measuring the weight of the bulk mass in the hopper of the scales, followed by automatic
  control of unloading of bulk raw materials from the hopper. The profitability of any industrial
  operation involving the weighing of raw materials, work in progress and finished products directly
  depends on the accuracy of the weight data. However, even when using high-precision weighing
  equipment, the method of collecting, recording and processing weight data for the micro ingredients
  system may be subject to errors and inaccuracies. This can cause a potential revenue drain
  that is difficult to detect and verify. In many cases, it is assumed that the cause of the problem is
  related to the weighing equipment, whereas in fact it is related to the traditional data collection
  and management system. In many factories where bulk products are mixed in batches, dosing
  scales is a manual, time-consuming operation in which the ingredients are weighed separately
  before loading into a blender or other technological container. A significant number of such plants
  can benefit from the installation of an automated weighing and dosing system.

• COMPUTATIONAL ASPECTS OF SOLVING GRID EQUATIONS ON GRAPHICS ACCELERATORS

  N.N. Gracheva, V.N. Litvinov, N.B. Rudenko, A.V. Nikitina, А. Е. Chistyakov

  2021-12-24

  Abstract ▼

  To predict emergencies and irreversible consequences of human activities, scientists use
  mathematical modeling. When an emergency occurs, it is very important to minimize the decisionmaking
  time. The development of the project solution can be based on the forecast of changes in
  the modeled process. In the numerical solution of problems of hydrophysics and biological kinetics,
  it becomes necessary to develop effective methods for solving systemic equations of large dimension
  with a non-self-adjoint operator. The large volume of processed information and the
  complexity of computations necessitate the use of computational clusters, which include video
  adapters to increase the performance of the computing system and the speed of information processing.
  The aim of the research is to develop a solution for a module that implements the algorithm
  of the system of linear algebraic equations (SLAE) by the modified alternative triangular
  iterative method (MATM) (self-adjoint and non-self-adjoint case) using NVIDIA CUDA technology.
  A method for decomposition of the computational domain in a three-dimensional case is described.
  A graph model of a parallel pipeline computational process is proposed, focused on the
  GPU (Graphics Processing Unit). To determine the two-dimensional configuration of flows in the
  computational unit, when performing one step of one step, the MATM is minimal. The studies have
  shown that the choice of the method of decomposition of the computational domain in the form of
  parallelepipeds must be performed taking into account the architecture of the video adapter. The
  developed algorithm and software module make it possible to more effectively use the computational
  resources of the GPU used to solve computationally laborious problems of hydrophysics.

• DEVELOPMENT AND ANALYSE VISUAL NAVIGATION SYSTEM FOR AIR AND GROUND-BASED ROBOTS

  V. P. Noskov, Y. S. Barichev, О.P. Goydin, А.N. Kuryanov

  2025-04-27

  Abstract ▼

  The work is devoted to solving urgent problems of joint autonomous visual navigation for air and
  ground-based robots in urbanized environments. These environments are highly demanded for special
  operations, including dense urban areas and buildings, where the use of traditional remote control devices
  is limited due to the presence of shielded areas. The proposed solution addresses group navigation tasks
  based on data from onboard vision systems during operational reconnaissance of the working area by an
  unmanned aerial vehicle (UAV). The results of this reconnaissance enable autonomous movement and
  flight, both for individual heterogeneous robotic systems and for groups.The navigation algorithms are
  based on methods for extracting a horizontal reference surface and horizontal sections of the external
  environment from a volumetric point cloud generated by an onboard lidar. These methods allow for the
  precise and rapid determination of all six coordinates of the control object. Cases where the navigation
  task cannot be fully solved due to specific environmental characteristics are also considered. To address these challenges, methods are proposed to enhance lidar rangefinding data by integrating video camera
  data. An accuracy assessment of the video navigation solutions is provided, obtained through mathematical
  modeling of the external environment and the generation of video data. To ensure safe autonomous
  flight and movement of robotic systems in urban environments, methods for reducing video navigation
  errors are proposed. These methods utilize a specially designed bank of reference images with known
  coordinates of their formation. The effectiveness of the applied methods and the proposed video navigation
  algorithms is confirmed by experimental studies of the corresponding software and hardware in real
  urbanized environments

• THE MODULE FOR PREDICTING CONVERTER PARAMETERS BASED ON SPECIFIED AMPLITUDE-FREQUENCY CHARACTERISTICS

  V.I. Shlaev

  93-103

  2025-11-10

  Abstract ▼

  The article discusses the solution of the problem of developing converters based on specified amplitude-frequency characteristics. The main problem is to carry out a large number of measuring measures with changes in the parameters of the transducers to achieve the necessary amplitude-frequency characteristics, which leads to high time and resource costs for development. The analysis of the main parameters of the converters affecting the specified amplitude-frequency characteristics is carried out. The existing approaches, methods and algorithms for creating converters of the required characteristics are analyzed. The development of a module for predicting the parameters of electromechanical converters based on specified amplitude-frequency characteristics is described. The research objectives include the creation of structural-parametric and mathematical models for calculating the characteristics of converters at the design stage. An algorithm for training a model based on experimental data obtained during measurements is described. The use of machine learning methods to predict parameters minimizes the number of experiments performed and reduces the cost of developing converters. The proposed approach is based on the use of the relationship between the design parameters of the converters and their frequency characteristics. The gradient boosting algorithm is used to increase the accuracy of forecasting. The stages of data preparation for model training are presented. The learning process of the model is described. The results demonstrate a significant reduction in the modeling time of the converters: the use of the module makes it possible to speed up the process several times compared with the experimental approach. Predicting characteristics based on a model provides comparable accuracy with a larger amount of data. The findings of the study confirm the effectiveness of the proposed approach in the development of converters, reducing time and financial costs, increasing the accuracy of modeling and applicability in conditions of limited resources.

• THE TECHNIQUE FOR SPLINE APPROXIMATIONS BUILDING IN CONDITIONS OF LIMITED SOURCE DATA

  А.А. Dorofeev

  90-105

  2025-12-30

  Abstract ▼

  Mathematical modeling is widely applied in different fields of activity but in cases when the available numerical information is insufficient to get a complete picture of the object mathematical model building is difficult or can lead to a deliberately unreliable result. There are approaches to solving modeling problems with a lack of data therewith it may be necessary to use methods with complicated mathematical structure to get the desired result. In this regard, the task of adapting mathematical methods to data scarcity conditions is relevant. This paper discusses the solution of the interpolation problem using spline functions as one of the most widely used methods in mathematical theory and applied mechanics. A technique has been developed to adapt spline methods to data shortage conditions, applying this technique to building of a cylinder with elliptical bottoms forming model provided smooth joining of fragments and absence of kinks. Meeting the requirements of precision and smoothness of the model was achieved by sequential refinement of numerical data with adding interpolation nodes to the model and correction of their location. As a result of building and analysis of the model it was found that spline methods can be applied to solving interpolation problems of almost any complexity. The availability of an analytical justification for every step of modeling process allows to automate the process fully. The problem considered in the article is connected with manufacturing products on the numerically controlled machines. However, this technique due to its versatility can be applied to solving problems in various fields of activity.
  The practical value of the developed technique is the possibility of its application to many practical tasks. Its integration into modern CAD systems and application software packages will allow to expand their functionality by providing the user with the possibility to introduce the extra restrictions imposed on the model practically what can ensure a high degree of implementation flexibility.

• GLOBAL AND LOCAL VARIATIONS OF THE ELECTRIC FIELD IN THE SURFACE ELECTRODE LAYER

  О. V. Belousova

  180-190

  2026-09-10

  Abstract ▼

  The paper presents a mathematical model of the atmospheric surface electrode layer structure, taking into account the combined action of global and local electric field generators. Spatiotemporal modeling is based on the conjugation of harmonic trigonometric functions of the diurnal cycle for local turbulent exchange and for the global total current density. When modeling the behavior of the electric field, analytical solutions of the electrode effect equations in the atmosphere are used. The proposed approach consists of a step-by-step substitution of the total electric current density and the turbulent diffusion coefficient instantaneous values, obtained from the equations of their periodic variation for a specific hour of the day, into analytical formulas for the stationary spatial distribution of the turbulent electrode layer characteristics. The validity of using the quasi-stationary approximation is strictly substantiated by the significant difference (by more than two orders of magnitude) between the time scales of establishing electrical equilibrium in the medium and the period of the global current generator diurnal variation. It was established that the combined modeling mode adequately reproduces the synergistic expansion of the electric field strength (potential gradient) diurnal curve range and the deformation of its profile, characteristic of the summer season in the high mountains. The reliability of the obtained theoretical results was confirmed by their comparison with experimental data from in-situ measurements at the alpine station of Peak Cheget (430 16' N and 420 30' E), located in the Elbrus region at altitudes of 3040 m above sea level.
  The analysis demonstrated good quantitative and chronological agreement between the calculated extremes values and the observed diurnal variations in electric field during the summer season. The results obtained can be directly used to improve the accuracy of geophysical monitoring data interpretation