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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 12, Pages 2094–2108
DOI: https://doi.org/10.7868/S0044466915120091 (Mi zvmmf10318) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics

A. V. Minakovabc, M. V. Pervukhinc, D. V. Platonovabc, M. Yu. Khatsayukc

a Kazan National Research Technological University, ul. K. Marksa 10, Kazan, Tatarstan, 420111, Russia
b Kutateladze Institute of Thermal Physics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent'eva 1, Novosibirsk, 630090, Russia
c Institute of Engineering Physics and Radio Electronics, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.7868/S0044466915120091
Abstract: A complex mathematical model of aluminum casting and solidification in a variable electromagnetic field is constructed. The model is based on the solution of magnetohydrodynamic equations and the VOF method. Test results are presented for the model and the numerical algorithm proposed. The numerical results are compared with experimental data and computations of other authors and are found to be in good agreement. The model is used to simulate aluminum solidification under an electromagnetic field. The physical processes influencing ingot formation are analyzed.
Key words: MHD flows, casting, solidification, moving boundary problems, VOF method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Z50.31.0003
Received: 09.02.2015
Revised: 27.04.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 12, Pages 2066–2079
DOI: https://doi.org/10.1134/S096554251512009X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Minakov, M. V. Pervukhin, D. V. Platonov, M. Yu. Khatsayuk, “Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 55:12 (2015), 2094–2108; Comput. Math. Math. Phys., 55:12 (2015), 2066–2079
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :150
    References:110
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