| 对流弥散方程不同有限元处理方法的比较分析 |
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| 引用本文： | 陈家军,尉斌.对流弥散方程不同有限元处理方法的比较分析[J].地学前缘,2006,13(1):236-241. |
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| 作者姓名： | 陈家军 尉斌 |
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| 作者单位： | 环境模拟与污染控制国家重点实验室/北京师范大学环境学院,北京100875 |
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| 基金项目： | 教育部科学技术研究项目;中国科学院资助项目 |
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| 摘 要： | Galerkin有限元在处理含第二类边界条件的对流弥散方程时,针对对流项和弥散项有两种不同的格林积分变换,所得数值结果的精度也不同。一种方法是把对流和弥散项整体考虑实施格林积分转换(降低微分阶数,由二阶降成一阶),应用边界条件,得出变分方程;另一种处理方法是只对弥散项实施积分变换,应用边界条件,得出变分方程。以一维问题为参考,对两种方法的数值结果与解析解进行比较分析。
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| 关 键 词： | 对流-弥散方程 第二类边界条件 Galerkin有限元 数值方法 |
| 文章编号： | 1005-2321（2006）01-0236-06 |
| 收稿时间： | 2005-10-20 |
| 修稿时间： | 2005-12-05 |
Comparative analysis on different finite element techniques for advection-dispersion solution |
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| CHEN Jia-jun,WEI Bin.Comparative analysis on different finite element techniques for advection-dispersion solution[J].Earth Science Frontiers,2006,13(1):236-241. |
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| Authors: | CHEN Jia-jun WEI Bin |
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| Institution: | State Key Joint Laboratory of Environmental Simulation and Pollution Control ; School of Environment, Beijing Normal University, Beijing 100875, China |
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| Abstract: | There are two integral methods for Galerkin FEM dealing with the advection-diffusion equation containing Neumann boundary conditions. One method is to perform integration by parts to both convection term and dispersion term as a whole, to decrease the order of the control equation from second order to first order, then introduce the boundary conditions, and finally obtain the variation equation. The other method is to perform the integration by parts only to dispersion term, then introduce the boundary conditions, and finally obtain the variation equation. Taking one-dimension problems as examples, we compare numerical results of the two methods with analytical solution respectively. |
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| Keywords: | advection-dispersion equation Neumann boundary conditions Cralerkin FEM numerical techniques |
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