摘要
简述了无单元法的基础理论,推导出相变温度场的无单元法计算公式,采用罚函数法引入了第一类边界条件,编制了相应的计算程序.通过经典相变的应用例子,和有限元计算结果及解析解的比较,说明了无单元法应用于相变温度场具有连续性好,精度高,前后处理简单等优点.
We present an element free Galerkin method（EFGM） for nonlinear transient field involving phase change. It needs no element connectivity. Compared with other methods such as the finite element method （FEM）, it is easy in tracking the growth of phase boundaries. Essential boundary conditions are enforced using a penalty function method. The MATLAB codes are developed to obtain numerical solutions. Two classical examples show that, compared with the FEM, EFGM has more advantages such as high accuracy, good convergence and simple post-process, etc.
出处
《计算物理》
CSCD
北大核心
2006年第5期545-550,共6页
Chinese Journal of Computational Physics
基金
国家杰出青年科学基金(No.50225001)
中国科学院知识创新工程重大项目(No.KZCX1-SW-04)资助项目
关键词
无网格伽辽金法
相变
罚函数法
element free Galerkin method
phase change
penalty function method
