Neumann问题基于热平衡积分法的二种解法的比较  

A Comparison of Two Heat Balance Integral Method Based Solutions for Neumann Roblem

作　　者：陈叶[1,2] 令锋[2] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051 [2]肇庆学院计算机科学与软件学院,肇庆526061

出　　处：《内蒙古工业大学学报（自然科学版）》2012年第1期7-11,共5页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：广东省自然科学基金资助项目(04011600)

摘　　要：运用热平衡积分法(HBIM)和改进的热平衡积分法(RIM)求解了一维两相融化问题,根据精确解比较了2种方法所得融化参数的相对误差.结果表明:在固定温度边界条件下选取二次函数近似时,热平衡积分融化参数的相对误差较小,且随着Stefan数的增加,2种积分结果的误差都在减小(Ste<1).The two - phase refined integral method （RIM）. melting problem is solved by using The obtained relative errors of the heat balance integral method （HBIM） and melting constant from the two methods are compared based on the analytical solution. It shows that the melting constant calculated using HBIM is more ac- curate than that of RIM, under the constant temperature boundary condition when using the quadratic function, and the errors of the two methods decrease with increase in the Stefan number（ Ste 〈 1 ）.

关 键 词：NEUMANN问题 热平衡积分法 改进的热平衡积分法 

分 类 号：O175.14[理学—数学]