摘要
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。
This paper proposes a fast Upscaling method for the simulation of groundwater flow in heteroge- neous media. This method modifies the coarse element subdivision to decrease the interior nodes, thus to reduce the unknowns in basis function construction to save much computational cost while ensuring accuracy. The simulations of steady flow and unsteady flow show that the result of fast Upscaling method is nearly the same as analytical solution. In contrast to the conventional Upsealing method, the new method can reduce more than 90 % CPU time, while achieving nearly the same accuracy, which is more efficient in solving large-scale, long-term problems.
出处
《水利学报》
EI
CSCD
北大核心
2015年第8期918-924,933,共8页
Journal of Hydraulic Engineering
基金
国家杰出青年基金资助项目(40725010)
国家自然科学基金资助项目(41030746)
