Numerical simulation of steel solidification in continuous casting

被引:0
|
作者
Khenniche G. [1 ,2 ]
Spiteri P. [2 ]
Bouhouche S. [3 ]
Sissaoui H. [4 ]
机构
[1] Laboratory LAMAHIS, Department of Mathematics, Faculty of sciences, University 20 August 1955, Skikda
[2] Laboratory IRIT-INP-ENSEEIHT, 2 rue Charles Camichel, Toulouse CEDEX
[3] Welding and NDT Research Centre, Iron and Steel Applied Research Unit-CSC, BP 196, Annaba
[4] Laboratory LANOS, Badji Mokhtar University, PO Box 12, Annaba
关键词
Continuous casting; Relaxation method; Solidification of steel; Sparse nonlinear systems;
D O I
10.1007/s13370-016-0454-8
中图分类号
学科分类号
摘要
The present study deals with the numerical simulation of steel solidification in continuous casting. We consider a semi-discretization with respect to the time of the studied evolution problem; then we have to solve a sequence of stationary coupled problems. So, due to the fact that the temperature is assumed to be positive, after reformulation of the problem into a variational inequality, we study under appropriate assumptions the existence and uniqueness of the solution of the stationary coupled problems. We also consider a multivalued formulation of the same problem which allows to analyze the behavior of the iterative relaxation algorithms used for the solution of the discretized problems. Finally the numerical experiments are presented. © 2016, African Mathematical Union and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码:417 / 441
页数:24
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