最小二乘配点法在地下水流向河渠水头计算中的应用  

The least square collocation method application in the groundwater flow to the canals

作　　者：孙玉平[1] 周德亮[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《地下水》2013年第1期29-30,共2页Ground water

摘　　要：最小二乘配点法是用于地下水流计算的一种新型、高效的无网格方法。此方法是在径向基函数配点法的基础上,对计算域进行节点离散,并布置辅助点,近似函数仍然通过节点构造,微分方程在节点和辅助点上都严格满足,从而计算精度更高。而且此方法不需要背景网格,效率高,形式简单。利用该方法计算地下水流向河、渠中的非承压含水层稳定流和非稳定流问题,算例表明,该方法有很好的精度且计算量小,比径向基函数配点法有更精确的结果。Least squares match point method is used for underground water flow calculation of a kind of new type, efficient meshless method. This method is the method of point collocation in radial basis function on the basis of the calculation of node discrete, and layout auxiliary point, approximation function still through the node structure, differential equation in the nodes and auxiliary point are strictly meet, thus higher calculation accuracy. And this method does not need background grid, high efficiency, simple in form. This paper, by using this method to calculate ground water flow to the river, canal of unconfined aquifer steady flow and unsteady flow problem, numerical example shows that the method has good accuracy and small amount of calculation and the method of point collocation than radial basis function is more accurate results.

关 键 词：最小二乘配点法 非承压含水层 地下水 

分 类 号：TV131[水利工程—水力学及河流动力学]