计算物理 ›› 2006, Vol. 23 ›› Issue (5): 545-550.
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高志华, 张明义, 刘志强, 张淑娟
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GAO Zhi-hua, ZHANG Ming-yi, LIU Zhi-qiang, ZHANG Shu-juan
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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.
关键词: 无网格伽辽金法, 相变, 罚函数法
Abstract: 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.
Key words: element free Galerkin method, phase change, penalty function method
中图分类号:
O241
高志华, 张明义, 刘志强, 张淑娟. 相变温度场中无网格伽辽金法的应用[J]. 计算物理, 2006, 23(5): 545-550.
GAO Zhi-hua, ZHANG Ming-yi, LIU Zhi-qiang, ZHANG Shu-juan. A Meshless Method for Nonlinear Transient Field with Phase Change[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(5): 545-550.
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http://www.cjcp.org.cn/CN/Y2006/V23/I5/545
