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

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.