Geometrical Platform of Big Database Computing for Modeling of Complex Physical Phenomena in Electric Current Treatment of Liquid Metals

Yuriy Zaporozhets, Artem Ivanov and Yuriy Kondratenko
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Yuriy Zaporozhets: Institute of Pulse Processes and Technologies of National Academy of Science of Ukraine, 54018 Mykolaiv, Ukraine
Artem Ivanov: Institute of Pulse Processes and Technologies of National Academy of Science of Ukraine, 54018 Mykolaiv, Ukraine
Yuriy Kondratenko: Petro Mohyla Black Sea National University, 054003 Mykolaiv, Ukraine

Data, 2019, vol. 4, issue 4, 1-18

Abstract: According to the principles of multiphysical, multiscale simulation of phenomena and processes which take place during the electric current treatment of liquid metals, the need to create an adjustable and concise geometrical platform for the big database computing of mathematical models and simulations is justified. In this article, a geometrical platform was developed based on approximation of boundary contours using arcs for application of the integral equations method and matrix transformations. This method achieves regular procedures using multidimensional scale matrices for big data transfer and computing. The efficiency of this method was verified by computer simulation and used for different model contours, which are parts of real contours. The obtained results showed that the numerical algorithm was highly accurate based on the presented geometrical platform of big database computing and that it possesses a potential ability for use in the organization of computational processes regarding the modeling and simulation of electromagnetic, thermal, hydrodynamic, wave, and mechanical fields (as a practical case in metal melts treated by electric current). The efficiency of this developed approach for big data matrices computing and equation system formation was displayed, as the number of numerical procedures, as well as the time taken to perform them, were much smaller when compared to the finite element method used for the same model contours.

Keywords: geometrical platform; big databases; modeling; approximating arcs; numerical procedure; integral equations; kernels; electric current treatment (search for similar items in EconPapers)
JEL-codes: C8 C80 C81 C82 C83 (search for similar items in EconPapers)
Date: 2019
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