| 龙玉桥,李 伟,李砚阁,杨忠平.MQ点插值法在地下水稳定流计算中的应用[J].水利学报,2011,42(5): |
| MQ点插值法在地下水稳定流计算中的应用 |
| Application of multi-quadric method for numerical simulation of steady groundwater flow |
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| DOI： |
| 中文关键词: 无网格法 Multi-quadric函数 点插值法 地下水稳定流 |
| 英文关键词: mesh-free/mesh-less method multi-quadric function interpolation steady groundwater flow |
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| 中文摘要: |
| 为探讨MQ （Multi-quadric） 点插值法在地下水稳定流问题中的应用效果，及MQ函数的形状参数、支持域大小、场节点间距对计算结果的影响，将其分别用于参数不变的二维地下水稳定流动、参数连续变化的二维地下水稳定流动和地下水向承压完整井的稳定流动3种算例的求解，并将计算结果与解析解进行比较。结果表明，该方法求解二维稳定流问题时具有较好的效果。MQ函数的形状参数、场节点间距和支持域大小对计算结果的误差具有较大影响。 |
| 英文摘要: |
| Multi-quadric （MQ） interpolation is a new numerical method to solve partial differential equations
（PDEs） . The purpose of this paper is to discuss the effectiveness of the method applied to sim-ulate groundwater flow，and the influence of shape parameters，support domain，node spacing on resu-lts. The MQ method is applied to obtain the numerical solution of three cases of 2D steady ground-water flow. The case I was a flow in a confined aquifer with constant coefficient of transmissivity（T），while Case II was with T varying continuously. Case III represented the flow to a fully pene-trated pumping well in a confined aquifer. The method was found to have good agreement with analy-tical solutions of the three cases. The error was affected by the combination of function parameters of MQ method，size of support-domain，and node spacing. |
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