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Zh. Vychisl. Mat. Mat. Fiz., 2008, Volume 48, Number 5, Pages 851–862 (Mi zvmmf141)  

This article is cited in 8 scientific papers (total in 8 papers)

Optimal control of the solidification process in metal casting

A. F. Albu, V. I. Zubov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: The optimal control of the solidification process in metal casting is considered. The mathematical model is based on a three-dimensional two-phase initial-boundary value problem of the Stefan type. The mathematical formulation of the optimal control problem is given. The problem is solved numerically by direct optimization methods. The numerical results are described and analyzed. Some of the results are illustrated by plots.

Key words: Stefan problem, heat conduction, metal solidification, gradient method.

Full text: PDF file (1476 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2008, 48:5, 805–815

Bibliographic databases:

UDC: 519.626
Received: 09.10.2007

Citation: A. F. Albu, V. I. Zubov, “Optimal control of the solidification process in metal casting”, Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008), 851–862; Comput. Math. Math. Phys., 48:5 (2008), 805–815

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. A. F. Albu, V. I. Zubov, “Determination of functional gradient in an optimal control problem related to metal solidification”, Comput. Math. Math. Phys., 49:1 (2009), 47–70  mathnet  crossref  mathscinet  isi
    2. A. V. Albu, V. I. Zubov, “Choosing a cost functional and a difference scheme in the optimal control of metal solidification”, Comput. Math. Math. Phys., 51:1 (2011), 21–34  mathnet  crossref  mathscinet  isi
    3. A. V. Albu, A. F. Albu, V. I. Zubov, “Functional gradient evaluation in the optimal control of a complex dynamical system”, Comput. Math. Math. Phys., 51:5 (2011), 762–780  mathnet  crossref  mathscinet  isi
    4. A. F. Albu, V. I. Zubov, “On the influence of setup parameters on the control of solidification in metal casting”, Comput. Math. Math. Phys., 53:2 (2013), 170–179  mathnet  crossref  crossref  zmath  adsnasa  isi  elib  elib
    5. 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
    6. 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
    7. 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
    8. Dong Ch.-ch., Shen X., Zhou J.-x., Wang T., Yin Ya.-j., “Optimal design of feeding system in steel casting by constrained optimization algorithms based on InteCAST”, China Foundry, 13:6 (2016), 375–382  crossref  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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