| 相变温度场中无网格伽辽金法的应用 |
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| 引用本文： | 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. |
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| 作者姓名： | 高志华 张明义 刘志强 张淑娟 |
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| 作者单位： | 中国科学院,寒区旱区环境与工程研究所冻土工程国家重点实验室,甘肃,兰州,730000 |
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| 基金项目： | 国家自然科学基金;中国科学院基金 |
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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。
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| 关 键 词： | 无网格伽辽金法 相变 罚函数法 |
| 文章编号： | 1001-246X（2006）05-0545-06 |
| 收稿时间： | 2005-04-18 |
| 修稿时间： | 2005-09-06 |
A Meshless Method for Nonlinear Transient Field with Phase Change |
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| 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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| Authors: | GAO Zhi-hua ZHANG Ming-yi LIU Zhi-qiang ZHANG Shu-juan |
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| Institution: | State Key Laboratory of Frozen Soil Engineering, CAREERI, Chinese Academy of Sciences, Lanzhou 730000, China |
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| 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. |
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| Keywords: | element free Galerkin method phase change penalty function method |
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