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On numerical modeling of the contaminant transport equations of the wetland hydrology and water quality model WETSAND

机译：湿地水文污染物迁移方程的数值模拟与水质模型WETSAND

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摘要

The reliability of the MacCormack finite difference method for solving the contaminant transport equations of wetland model WETSAND is investigated. WETSAND solves the coupled advection-dispersion-reaction equations for the nitrogen cycle, total nitrogen and total phosphorus concentrations by using the implicit finite difference method. In addition to the implicit scheme, the MacCormack algorithm is implemented within WETSAND. Then, the results obtained by using the MacCormack algorithm are compared with the results obtained by using the implicit finite difference method for both synthetic examples and real data which is collected at the restored wetland site of Duke University at Sandy Creek watershed. Results show that the numerical methods are in good agreement. While the MacCormack scheme may be computationally more efficient for small velocities and dispersion coefficients (as is commonly the case for wetlands and lakes), much longer computational times are needed for the cases with high velocity and dispersion coefficient values (e.g., streams) since the magnitude of the time step has to be selected according to the CFL stability condition.
机译：研究了MacCormack有限差分法求解湿地模型WETSAND的污染物迁移方程的可靠性。 WETSAND使用隐式有限差分法求解了氮循环，总氮和总磷浓度的耦合对流扩散反应方程。除隐式方案外，MacCormack算法在WETSAND中实现。然后，将使用MacCormack算法获得的结果与使用隐式有限差分方法获得的结果进行比较，这些结果适用于合成实例和在桑迪克里克流域的杜克大学恢复湿地站点收集的实际数据。结果表明，数值方法吻合良好。尽管MacCormack方案对于小速度和弥散系数可能更有效（在湿地和湖泊中通常如此），但对于高速度和弥散系数值（例如溪流）的情况，则需要更长的计算时间。必须根据CFL稳定性条件选择时间步长的大小。

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