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
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.
metal solidification, Stefan problem, optimal control, fast automatic differentiation.
PDF file (786 kB)
Computational Mathematics and Mathematical Physics, 2016, 56:5, 756–763
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
\paper Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
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
|Number of views:|