METHOD OF LINES IN DISTRIBUTED PROBLEMS OF EXPERIMENTAL DATA PROCESSING
Abstract
In many cases, the mathematical support of non-stationary thermal experiments is based on methods for solving the inverse heat conduction problem (IHCP), which include boundary thermal conditions determination, identification of heat and mass transfer processes, restoration of external and internal temperature fields, etc. However, at present, the main field of the IHCP application remains the processing and interpretation of the results of the thermal experiments. It was here where the most considerable theoretical and applied successes were achieved in methods' effectiveness and the breadth of their practical use. This paper highlights the issues of mathematical modeling of multidimensional non-stationary problems of metallurgical thermophysics.
The primary research purpose aims at solving problems associated with identifying parallel structures of algorithms and programs and their reflection in the computers’ architecture in solving a wide range of applied problems. Supercomputers are currently inaccessible due to the enormous cost and service price. In this regard, a real alternative is cluster-type computing systems by which the simulation results are covered in this paper.
Being a relatively new technology, cluster-type parallel computing systems are useful in solving a large class of non-stationary multidimensional problems, while allowing to increase the productivity and quality of computations. The software developed in this paper can be used to plan and process the results of a thermophysical experiment. The algorithms developed in the application program package are simply reconstructed to solve other coefficient and boundary problems of thermal conductivity. The developed algorithms for solving thermophysical problems are highly accurate and efficient: the test solution for IHCP with accurate input data coincides with the thermophysical features of the sample material. The developed software for processing the results of a thermophysical experiment is self-regulating. Moreover, it is quite merely tuned to the solution of others and, in particular, of boundary IHCP.
References
Shvachych G.G. Mathematical modeling of one class of problems in metallurgical thermal physics based on multiprocessor parallel computing systems. Mathematical modeling. 2008. No. 1 (18). P. 60 – 65.
Shvachich G.G., Shmukin A.A. Features of vectorization of calculations when modeling heat and mass transfer processes. Mathematical modeling. 2005. No. 1 (13). P. 23 – 28.
Shvachych G., Multiprocessors computing systems in the problem of global optimi-zation. Structural transformations and problems of information economy formation : mono-graph / G. Shvachych, I. Pobochii, E. Kholod, O. Ivaschenko, V. Busygin. Ascona Publish-ing United States of America. 2018. P. 281 – 291.
Shvachych G.G. Prospects of construction highly-productive computers systems on the base of standard technologies. Strategy of Quality in Indastry and Education : IV Intrena-tional Conference. May 30 – June 6. – 2008, Varna, Bulgaria. V. 2. P. 815 – 819.
Ivaschenko V., Shvachych G., Ivaschenko О., Busygin, V. Processors selection problem in the module computing system when making new technological processes. Infor-mation Technology in Metallurgy and Machine Building : materials and Technical Internation-al Conference, м. Дніпро, 27-29 березня 2018 р. Дніпро. 2018. С. 106.
Shvachych G., Moroz B., Pobochii I., Ivaschenko О. , Busygin V. Maximally paral-lel forms of distributed simulation of dynamic systems. World Science. Poland. 2018. № 4(32). Vol.1. P.12 – 19.
Shvachych G., Ivaschenko О., Busygin V., Fedorov E. Parallel computational algo-rithms in thermal processes in metallurgy and mining. Naukovyi visnyk NHU. Dnipro. 2018. № 4. P. 129 – 137.
Shvachych G. , Pobochii I., Ivaschenko О. , Busygin V. Research of compatibility in the multi-processing compound systems. Science Review. Poland. 2018. № 2 (9). Vol. 1. P. 15 –19.
Alishov N.I., Shvachych G.G., Tkach M.A. Study of the efficiency of multiproces-sor systems when solving problems with the expandable area calculations. Journal of Qafqaz University. Mathematics and Computer Science, Baku, Azerbaijan. 2015. Vol. 1. Numb. 1. P. 3 –11.
Views:
250
Downloads:
259
Copyright (c) 2021 Gennady Shvachych, Nataliіa Vozna, Ivashchenko Olena, Oleksandr Bilyi, Dmytro Moroz
This work is licensed under a Creative Commons Attribution 4.0 International License.
All articles are published in open-access and licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0). Hence, authors retain copyright to the content of the articles.
CC BY 4.0 License allows content to be copied, adapted, displayed, distributed, re-published or otherwise re-used for any purpose including for adaptation and commercial use provided the content is attributed.
