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地下水污染模型的特征有限元解法──以佳木斯为例
Characteristic Finite Element Method for Solving Ground water Pollution Model
【摘要】 特征有限元法是求解对流─弥散方程的一种有效方法,特别是将该法用于求解对流项占优的溶质运移问题时,其优越性尤为突出,解决了使用其它数值方法求解时所不可避免的数值弥散问题。本文首先介绍了这种方法的基本原理,提出了特征有限元法求解时确定运动质点所属单元的方法,随后以佳木斯地区为例,介绍了这一方法在求解地下水污染问题时的具体运用。
【Abstract】 Characteristic finite element method(CFEM)is a new numerical method for solving advection-dispersion equation. It is effective especially for the advection-dorminant problem. The numerical dispersion and oscillation,which is inevitable when using common numerical method,was effectively eliminated by adopting CFEM. The fundamental of CFEM was described and a simple but effec-tive method was put forward to determine the serial number of the element in which the moving particles located.A living example in Jiamusi City was given.
【关键词】 对流─弥散方程;
特征有限元法;
地下水污染模型;
【Key words】 advection-dispersion equation; characteristic finite element method; mathematical model of groundwater pollution;
【Key words】 advection-dispersion equation; characteristic finite element method; mathematical model of groundwater pollution;
【基金】 国家自然科学基金
- 【文献出处】 太原工业大学学报 ,Journal of Taiyuan University of Technology , 编辑部邮箱 ,1994年04期
- 【分类号】X832.2
- 【被引频次】4
- 【下载频次】141