Journal Issue: Научная визуализация
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Volume
15
Number
1
Issue Date
Journal Title
Journal ISSN
2079-3537
Том журнала
Том журнала
Научная визуализация
(15)
Статьи
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Visualization of Liquids Flows in Microfluidics and Plasma Channels in Nanosecond Spark Microdischarges by Means of Digital Microscopy
(2023) Dekhtyar, V. A. ; Dubinov, A. E.
An application of digital optical microscopes for visualization of single-pulse or pulsed-periodic processes in microfluidics and physics of spark microdischarges is studied. Multiple examples of coagulation processes of liquid microvolumes, nanosecond spark discharges near liquid drops and plant living tissues in a cell-size level are provided.
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Investigation of the Properties of First Nearest Neighbors’ Graphs
(2023) Kislitsyn, A. A.; Orlov, Yu. N.; Goguev, M. V.
In this study we present a benchmark of statistical distributions of the first nearest neighbors in random graphs. We consider distribution of such graphs by the number of disconnected fragments, fragments by the number of involved nodes, and nodes by their degrees. The statements about the asymptotic properties of these distributions for graphs of large dimension are proved. The problem under investigation is to estimate the probability of realization of a certain structure of the first nearest neighbors graph depending on the distribution function of distances between the elements of the studied set. It is shown that, up to isomorphism, the graph of the first nearest neighbors does not depend on the distance distribution. This fact makes it possible to conduct numerical experiments on the construction of basic statistics based on a uniform distribution of distances and obtain tabulated data as a result of numerical modeling. We also discuss the approximation of the distribution of graph vertices by degrees, which allows us to estimate the proportion of randomness for a particular structure resulting from clustering elements of a certain set by the nearest neighbor method. The asymptotic analysis of the fragment distribution is discussed.
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Computer Visualization for the Algorithmization and Programming Task of Territorial Division Based on Interactive Mapping
(2023) Dubrovskaya, Yu. V. ; Kozonogova, E. V. ; Kurushin, D. S.
The division of the territory into regions according to some attribute is the most important factor in the effective management of spatial development at the national, macroregional and regional levels of the economy. Applying a defragmented policy on this basis makes it possible to increase both the quality of public space management and the effectiveness of strategic planning. The author's method for visualizing the task of creating a digital twin of the economic zoning grid is presented in this paper based on interactive mapping as well as on the systematization of methods for reflecting the results of territorial division. The concept of economic complexity was used as a methodological approach, which is based on an understanding of the importance of producing complex products that require a wide range of knowledge and competencies.
The basis for the visualization of economic zoning is the author's mathematical algorithm for territorial division of the country into macroeconomic regions, compiled on the basis of graph theory and implemented in the Graphviz software. The creation of a digital twin of the macroregions grid is based on the indicator "Average number of employees for the full range of organizations", according to which a single statistical database was formed for 83 regions of Russia for the period from 2009-2019 for 104 types of economic activity. The graph visualizes the strongest links between sectors of the economy by constructing a maximum spanning tree based on the Kruskal algorithm. The vertices of the industry connectivity graph are the types of activities according to OKVED, and the edges are the “distances” between them.
To automate the process of creating a digital twin of the macroregions grid and its visualization, a software tool in the Python language was used. The advantage of the proposed visualization method is that the display of simulation results using interactive mapping allows reflecting all types of economic activity and the relationships between them in an easy-to-read format. This, in turn, makes it possible to predict the behavior of economic sectors in order to enhance the development of the constituent entities of the Russian Federation and the spatial development of the country as a whole.
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Modeling and Visualization of Electron Scattering on Quantum Rings
(2023) Muzykina, E. A. ; Sibirmovsky, Y. D.
The problem of scattering of quasi-dimensional electrons on a potential in the form of a quantum ring and a quantum dot is solved. The problem is addressed as a part of analysis of quantum interference effects in semiconductor nanostructures with nontrivial geometry as well as for the design of nanoelectronic devices based on them. In contrast to existing works, algorithms for solving both stationary and non-stationary Schrödinger equation with arbitrary scattering potential are developed here. Analytical and finite-difference methods are used, which makes it possible to obtain an arbitrarily accurate solution, with which the process of electron scattering on a quantum ring is modeled and visualized. This visualization allows us to discover how the shape of the quantum ring affects the angular distribution of the scattering amplitude as well as determine the presence of a self-interference of the scattered electron wave function.
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Visualization of Geometric Models of Faceted Solids in Point Calculus
(2023) Konopatskiy, E. V. ; Ryabinin, K. V. ; Bezditnyi, A. A.
The paper considers the case of faceted solids and discusses visualisation of geometric solids in the form of a three-parameter set of points which belongs to a three-dimensional space. To visualize geometric solids, taking advantage of the modern GPU hardware acceleration, the Ray marching method is used. The implementation considers the definition of a signed distance function, which is reduced to the task of determining the set of intersection points of the projection rays with the rendered geometric solid. After that, for each pixel of the screen, its color is determined in accordance with whether the ray passes through the geometric solid or not. The analytical description of geometric solids and the solution of their intersection problem with projecting rays are solved within the framework of the point calculus mathematical apparatus. As a result, it was concluded that the proposed approach justifies itself, providing high rendering performance and the complete absence of visual artifacts when rendering faceted solids.