Choosing a Cost Functional and a Difference Scheme in the Optimal Control of Metal Solidification

被引:8
作者
Albu, A. V. [1 ]
Zubov, V. I. [1 ]
机构
[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia
关键词
Stefan problem; heat conduction; solidification; difference scheme; cost functional; ENTHALPY FORMULATION; STEFAN PROBLEM;
D O I
10.1134/S0965542511010027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The optimal control of solidification in metal casting is considered. The underlying mathematical model is based on a three-dimensional two-phase initial-boundary value problem of the Stefan type. The study is focused on choosing a cost functional in the optimal control of solidification and choosing a difference scheme for solving the direct problem. The results of the study are described and analyzed.
引用
收藏
页码:21 / 34
页数:14
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