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。
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.
基金
国家自然科学基金
关键词
地下水
污染模型
有限元
水文地质
advection-dispersion equation
characteristic finite element method
mathematical model of groundwater pollution
