水体交换年龄模型研究

采用剖开算子法，把水体年龄控制方程分成几个连续的初值问题。在任意三角形网格中，分别对不同性质的算子采用各自适合的算法，即采用特征线法求解对流分步，采用半隐式有限元法求解扩散分步和传播分步。利用水体交换模型试验结果和水体年龄对称特性解析解对所建立的年龄模型进行了验证计算，结果表明，建立的水体年龄模型计算结果与试验结果、解析解结果吻合，可较好地预测水体交换年龄。

An age model for water transfer

2-D water age model by operator-splitting algorithm is developed. The governing equation is splitted into three or two successive initial value problems. In any arbitrary triangle calculation grid, the operators are calculated by different algorithm on the basis of their characteristics. In convection problem, the method of characteristics is used. For the dispersion and propagation problem, a semi-implicit finite element algorithm is employed in the calculation. The model validation is tested by two different ways, including establishing a water transfer physical model and analytic solutions based on the symmetry characteristic of age model. The computed results well agree with the two tests, including velocity, concentration and age. This study can provide technical support for the age model validation.