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Lobachevskii Journal of Mathematics, 2003, Volume 13, Pages 3–13 (Mi ljm94)  
This article is cited in 1 scientific paper (total in 1 paper)

On 3D dynamic control of secondary cooling in continuous casting process

R. Z. Dautova, R. F. Kadyrova, E. Laitinenb, A. V. Lapina, J. Pieskäb, V. Toivonenb

a Kazan State University, The Faculty of Computer Science and Cybernetics
b Department of Mathematical Sciences, University of Oulu
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Abstract: In this paper a 3D-model for simulation and dynamic control of the continuous casting process is presented. The diffusion convection equation with multiphase transition is used as a simulation model. The developed model is discretized by finite element method and the algebraic equations are solved using pointwise relaxation method. Two different type of methods are used to control the secondary cooling, namely PID and optimal control method. The numerical results are presented and analyzed.
Keywords: Stefan problem, continuous casting process, optimization problem, FEM, implicit schemes.
Received: 15.10.2003
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Language: English
Citation: R. Z. Dautov, R. F. Kadyrov, E. Laitinen, A. V. Lapin, J. Pieskä, V. Toivonen, “On 3D dynamic control of secondary cooling in continuous casting process”, Lobachevskii J. Math., 13 (2003), 3–13
Citation in format AMSBIB
\Bibitem{DauKadLai03}
\by R.~Z.~Dautov, R.~F.~Kadyrov, E.~Laitinen, A.~V.~Lapin, J.~Piesk\"a, V.~Toivonen
\paper On~3D dynamic control of secondary cooling in continuous casting process
\jour Lobachevskii J. Math.
\yr 2003
\vol 13
\pages 3--13
\mathnet{http://mi.mathnet.ru/ljm94}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2025554}
\zmath{https://zbmath.org/?q=an:1037.80003}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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