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Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 5, Pages 768–776 (Mi zvmmf10391)  

This article is cited in 1 scientific paper (total in 1 paper)

Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal

A. F. Albu

Dorodnicyn Computing Center, Federal Research Center УComputer Science and ControlФ, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: The problem of controlling the phase boundary evolution in the course of solidification of metals with different thermodynamic properties is studied. The underlying mathematical model of the process is based on a three-dimensional nonstationary two-phase initial-boundary value problem of the Stefan type. The control functions are determined by optimal control problems, which are solved numerically with the help of gradient optimization methods. The gradient of the cost function is exactly computed by applying the fast automatic differentiation technique. The research results are described and analyzed. Some of them are illustrated.

Key words: metal solidification, Stefan problem, optimal control, fast automatic differentiation.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation ЌЎ-8860.2016.1


DOI: https://doi.org/10.7868/S0044466916050045

Full text: PDF file (786 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2016, 56:5, 756–763

Bibliographic databases:

UDC: 519.653
Received: 14.12.2015

Citation: A. F. Albu, “Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal”, Zh. Vychisl. Mat. Mat. Fiz., 56:5 (2016), 768–776; Comput. Math. Math. Phys., 56:5 (2016), 756–763

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. 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, 2017, 147–153  crossref  isi
  • ∆урнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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