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本文提出了一种用于模拟非均质介质中的地下水流运动的快速提升尺度法。该方法改进了粗网格单元的细剖分方法,能够在保证水头精度的前提下,用远少于传统剖分法所需的内点将粗网格单元剖分为相同数目的细网格单元,减少构造基函数所需的求解未知项,大幅降低计算量。通过对非均质介质中的二维稳定流以及非稳定流的模拟,快速提升尺度法的结果与解析解吻合得很好。与传统提升尺度法相比,该方法的精度与其相近,但节省了90%以上的计算时间。在求解大尺度、长时间或者复杂问题时,该方法的效率更高。
In this paper, a rapid scaling method is proposed for simulating groundwater flow motion in heterogeneous media. This method improves the subdivision method of coarse grid cells, which can divide the coarse grid cells into the same number of fine grids with much less inner points than the traditional one Unit, to reduce the unknown needed to construct the basis function to reduce the computational complexity. Through the simulation of two-dimensional steady flow and unsteady flow in heterogeneous media, the results of the rapid promotion of scaling method are in good agreement with the analytical solutions. Compared with the traditional lifting scale method, the accuracy of this method is similar to that of the traditional lifting scale method, but it saves more than 90% of the computation time. This method is more efficient in solving large-scale, long-term or complex problems.