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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (12): 1201-1208.

• 论文 • 上一篇    下一篇

SOLVING THE FREE BOUNDARY PROBLEM IN CONTINUOUSCASTING BY USING BOUNDARY ELEMENT METHOD

李耀勇, 张自立   

  1. Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049, P. R.China
  • 收稿日期:1993-06-18 修回日期:1994-04-21 出版日期:1995-12-18 发布日期:1995-12-18
  • 通讯作者: Ding Haojiang

SOLVING THE FREE BOUNDARY PROBLEM IN CONTINUOUSCASTING BY USING BOUNDARY ELEMENT METHOD

Li Yaoyong, Zhang Zili   

  1. Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049, P. R.China
  • Received:1993-06-18 Revised:1994-04-21 Online:1995-12-18 Published:1995-12-18

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摘要： In this paper. the authors solve the free boundary problem (FBP) in continuouscasiing by using boundary element method (BEM). First, we simplify the generalmathematical model for continuous casting to a practicable model, and give theboundary integral equations with partial unknown boundary for this model, anddescribe in detail the steps of calculating this FBP by using the BEM. Next, wepresent the result of our numerical experiments, and discuss the stability, convergenceand 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.

关键词: continuous casting, free boundary problem, boundary elementmethod, numencal solution

Abstract: In this paper. the authors solve the free boundary problem (FBP) in continuouscasiing by using boundary element method (BEM). First, we simplify the generalmathematical model for continuous casting to a practicable model, and give theboundary integral equations with partial unknown boundary for this model, anddescribe in detail the steps of calculating this FBP by using the BEM. Next, wepresent the result of our numerical experiments, and discuss the stability, convergenceand 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.

Key words: continuous casting, free boundary problem, boundary elementmethod, numencal solution

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