多重网格有限元法在水质预测问题中的应用

THE APPLICATION OF MULTIPLE GRID FINITE ELEMENT METHOD TO WATER QUALITY PREDICTION

本文采用多重网格—有限元法进行模拟、预报。多重网格法是求解大型科学计算问题的有效且可以证明是最优阶的方法，但目前很少有人将其用于解决实际问题，且在理论上也局限于二维问题的讨论。本文首次利用多重网格法求解地表水地下水水质耦合问题，从而拓宽了多重网格法的实际应用范围；与实际观测值对比有较高的拟合精度，有效地避免了数值弥散和振荡；且具有计算速度快。

The multiple gri finite element method has been proved to be a most efficient and optimal one in large scale scientific calculation.But fewer researchers have applied it to practical aspects,and theoretically it has generally been limited within 2 D problem.the authors,for the first time,have applied multiple grid method to solve the groundwater quality problem coupled with surface water.The construction of multiple grid method′s interpolation operator and restricted operator enlarge the range of the method application.Compared with the investigation results,the simulation precision is satisfactory,and the numerical divergence and oscillation are avoided.In addition,the method has also advantages of fast calculation and convergence stability.