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Open AccessArticle

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

1
Institute of Pulse Processes and Technologies of National Academy of Science of Ukraine, Mykolaiv 54018, Ukraine
2
Petro Mohyla Black Sea National University, Mykolaiv 054003, Ukraine
*
Author to whom correspondence should be addressed.
Data 2019, 4(4), 136; https://doi.org/10.3390/data4040136
Received: 29 June 2019 / Revised: 10 August 2019 / Accepted: 16 August 2019 / Published: 5 October 2019
(This article belongs to the Special Issue Machine Learning and Materials Informatics)
According to the principles of multiphysical, multiscale simulations 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 approximations of boundary contours using arcs for application of the integral equations method and matrix transformations. This method achieves regular procedures using multidimensional scale matrixces 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 geometrical platform; big databases; modeling; approximating arcs; numerical procedure; integral equations; kernels; electric current treatment
MDPI and ACS Style

Zaporozhets, Y.; Ivanov, A.; Kondratenko, Y. Geometrical Platform of Big Database Computing for Modeling of Complex Physical Phenomena in Electric Current Treatment of Liquid Metals. Data 2019, 4, 136.

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