Solving the Free Boundary Problem in Continuous Casing by Using Boundary Element Method

Li Yaoyong; Zhang Zili

Volume 16 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(12): 1115-1121

Li Yaoyong, Zhang Zili. Solving the Free Boundary Problem in Continuous Casing by Using Boundary Element Method[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1115-1121.

Citation:

Li Yaoyong, Zhang Zili. Solving the Free Boundary Problem in Continuous Casing by Using Boundary Element Method[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1115-1121.

Citation:

Li Yaoyong, Zhang Zili. Solving the Free Boundary Problem in Continuous Casing by Using Boundary Element Method[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1115-1121.

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Solving the Free Boundary Problem in Continuous Casing by Using Boundary Element Method

Department of Mathematics, Xi'an Jiaotong University, Xian 710049, P. R. China

Received Date: 1993-06-18
Rev Recd Date: 1994-04-21
Publish Date: 1995-12-15

Abstract

Abstract

In this paper.the authors solve the free boundary problem(FBP) in continuous casiing by using boundary element method(BEM).First,we simplify the general mathematical model for continuous casting to a practicable model,and give the boundary integral equations with partial unknown boundary for this model,and describe in detail the steps of calculating this FBP by using the BEM.Next,wepresent the result of our numerical experiments,and discuss the stability,convergence and applicaiion of our method.At last.we simplify the former model so that it has ananalytic solution.and we compare its numerical solution resulted from our method withits analytic solution.
- continuous casting,
- free boundary problem,
- boundary element method,
- numencal solution

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References(5)

References

[1]	张振忠、徐平、蒋运采、林尤栋.水平连铸控制系统的现状及其发展趋势.铸造设备研究.14(1)(1992).27-30,
[2]	吴兴宝.钢铁生产中的自由边界问题.应用数学.1(1.2)(1988).133-143
[3]	J.Crank,Free and Moving Boundary Problems,Clavendon Press,Oxford(1984).
[4]	大中逸雄.《计算机传热凝固解析入门:铸造}i程中韵应用》.许云祥译.机械工业出版社.北京(1988).
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