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Zh. Vychisl. Mat. Mat. Fiz., 2013, Volume 53, Number 2, Pages 238–248 (Mi zvmmf9779)  

This article is cited in 5 scientific papers (total in 5 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

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.

DOI: https://doi.org/10.7868/S004446691302004X

Full text: PDF file (204 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2013, 53:2, 170–179

Bibliographic databases:

UDC: 519.626
Received: 02.07.2012

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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 92, no. 2, 2015, 627–629  crossref  mathscinet  zmath  isi  elib  scopus
    2. A. Albu, V. Zubov, “An approach to solving control problems of heat processes with phase transitions”, 2017 International Conference on Control, Artificial Intelligence, Robotics & Optimization, ICCAIRO 2017, IEEE, 147–153  crossref  isi  scopus
    3. A. F. Albu, V. I. Zubov, “Investigation of the optimal control problem for metal solidification in a new formulation”, Comput. Math. Math. Phys., 54:5 (2014), 756–766  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    4. A. F. Albu, V. I. Zubov, “Investigation of the optimal control of metal solidification for a complex-geometry object in a new formulation”, Comput. Math. Math. Phys., 54:12 (2014), 1804–1816  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    5. A. F. Albu, “Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal”, Comput. Math. Math. Phys., 56:5 (2016), 756–763  mathnet  crossref  crossref  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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