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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 2, Pages 238–248
DOI: https://doi.org/10.7868/S004446691302004X (Mi zvmmf9779) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the influence of setup parameters on the control of solidification in metal casting

A. F. Albu, V. I. Zubov

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
Full-text PDF (204 kB) Citations (6)
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DOI: https://doi.org/10.7868/S004446691302004X
Abstract: The optimal control of metal solidification in a mold of complex geometry is studied. The underlying mathematical model is based on a three-dimensional two-phase initial-boundary value problem of the Stefan type. The influence exerted on the solidification process and its optimal control by the furnace temperature and the maximum depth to which the mold is immersed in the coolant is examined. The research results are described and analyzed. Some of the results are illustrated.
Key words: heat equation, solidification of metal, Stefan problem, optimal control, fast automatic differentiation.
Received: 02.07.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 2, Pages 170–179
DOI: https://doi.org/10.1134/S0965542513020036
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. F. Albu, V. I. Zubov, “On the influence of setup parameters on the control of solidification in metal casting”, Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013), 238–248; Comput. Math. Math. Phys., 53:2 (2013), 170–179
Citation in format AMSBIB
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    • This publication is cited in the following 6 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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