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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 5, Pages 882–902 (Mi zvmmf294)  
This article is cited in 15 scientific papers (total in 15 papers)

Mathematical modeling and study of the process of solidification in metal casting

A. F. Albu, V. I. Zubov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (2385 kB) Citations (15)
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Abstract: The process of melting and solidification in metal casting is considered. The process is modeled by a three-dimensional two-phase initial-boundary value problem of the Stefan type. The mathematical formulation of the problem and its finite-difference approximation are given. A numerical algorithm is presented for solving the direct problem. The results are described and analyzed in detail. Primary attention is given to the evolution of the solidification front and to how it is affected by the parameters of the problem. Some of the results are illustrated by plots.
Key words: Stefan problem, heat conduction, solidification, finite-difference scheme.
Received: 02.11.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 5, Pages 843–862
DOI: https://doi.org/10.1134/S0965542507050090
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. F. Albu, V. I. Zubov, “Mathematical modeling and study of the process of solidification in metal casting”, Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007), 882–902; Comput. Math. Math. Phys., 47:5 (2007), 843–862
Citation in format AMSBIB
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\paper Mathematical modeling and study of the process of solidification in metal casting
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\pages 882--902
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\transl
\jour Comput. Math. Math. Phys.
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\crossref{https://doi.org/10.1134/S0965542507050090}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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