| 一种适合基于原子尺度有限元方程的低通滤波边界条件 |
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| 引用本文： | 任国武,汤铁钢,李庆忠.一种适合基于原子尺度有限元方程的低通滤波边界条件[J].计算物理,2014,31(5):514-522. |
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| 作者姓名： | 任国武 汤铁钢 李庆忠 |
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| 作者单位： | 中国工程物理研究院流体物理研究所, 四川 绵阳 621999 |
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| 基金项目： | 国家自然科学基金，流体物理研究所发展基金 |
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| 摘 要： | 发展一种基于原子尺度的有限元动力学方程,其动态行为跨越了从原子尺度到宏观尺度.理论计算该方程的色散关系和动力学散射特征.在此基础上,基于滤波器的概念,设计低通滤波边界条件用于减少网格增大带来的高频反射波,同时又保证低频振动波传播不受影响.通过一维数值模拟,计算了能量反射和透射系数,展示低通滤波边界条件可以吸收高频反射波而不影响低频波的传播.
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| 关 键 词： | 有限元 滤波 反射系数 |
| 收稿时间： | 2013-09-12 |
| 修稿时间： | 2013-12-19 |
Low-pass Filter Boundary Condition for Atomic-based Finite Element Method |
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| REN Guowu,TANG Tiegang,LI Qingzhong.Low-pass Filter Boundary Condition for Atomic-based Finite Element Method[J].Chinese Journal of Computational Physics,2014,31(5):514-522. |
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| Authors: | REN Guowu TANG Tiegang LI Qingzhong |
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| Institution: | Institute of Fluid Physics, China Academy qf Engineering Physics, Mianyang, Sichuttn 621999, China |
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| Abstract: | An atomic-based finite element method is developed,spanning from atomic scale to macroscopic one. With theoretical deduction dispersion relation and dynamic scattering behavior are calculated. For spurious reflection caused by non-uniform grid,lowpass filter boundary condition is designed to effectively eliminate the reflection of high-frequency phonons,while keeping low-frequency ones transparent. These schemes are demonstrated with numerically calculating reflection and transmission coefficients in onedimensional modeling. |
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| Keywords: | finite element filter reflection coefficient |
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