摘要
提出了一个非饱和土中溶混污染物输运过程的数值模拟框架。输运过程数学模型包含了包括物理和化学非平衡过程的如下控制现象:对流,机械逸散,分子弥散,平衡与非平衡吸附,不流动水效应和蜕变。发展了基于特征线Galerkin 离散化的有限元方法和相应的隐式算法以数值求解模型控制方程的边值初值问题。隐式算法基于算子分离过程及在Lagrange 座标下精细积分过程与传统数值积分过程的结合。数值例题结果和稳定性分析验证了本文模型及其数值方法的有效性。
A framework for numerical modelling of miscible pollutant transport in saturated unsaturated soils is presented. The mathematical model of the transport process integrates the following governing phenomena: convection, molecular diffusion, mechanical dispersion, sorption, immobile water effect and degradation, including both physical and chemical nonequilibrium processes. A finite element method based on the characteristic Galerkin discretization is developed. A corresponding implicit algorithm is devised to numerically solve the initial and boundary value problem for the model governing equations. The implicit algorithm is based on the operator splitting procedure and formulated by means of a combination of both the precise and the traditional numerical integration procedures in the Lagrange coordinates. The numerical results and the stability analysis of the algorithm validate good performance of the present model and efficiency, accuracy and stability of the present numerical method.
出处
《岩土工程学报》
EI
CAS
CSCD
北大核心
1999年第4期427-437,共11页
Chinese Journal of Geotechnical Engineering
基金
国家自然科学基金项目
欧共体国际科学合作基金"非饱和区地下水中溶混污染物输运过程的模拟"项目!(CII* CT94- 0014)
关键词
污染物运移
非饱和土
特征线
有限元法
contaminant transport
unsaturated soil
equilibrium/nonequilibrium process
characteristic finite element method
precise integration
implicit algorithm
