最小二乘配点法解一维非稳定流问题  

Issue on the Least-square Collocation Meshfree Method in Simulation of 1-D Unsteady Flow

作　　者：李静[1] 周德亮[1] 王佳慧[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》2012年第2期20-21,共2页Ground water

摘　　要：最小二乘配点无网格法是一种新型高效的无网格法。该方法除节点外又在研究域内引入辅助点,近似函数仍然只通过节点构造,微分方程在所有节点和辅助点上满足。用最小二乘配点法计算河间承压非稳定流问题,算例表明,最小二乘配点法比有限差分法计算精度高,稳定性好。The Least-square collocation meshfree method is a new type of highly efficient Meshfree.Except for nodes,a number of auxiliary points are introduced into the research field.Approximation functions are still structured using the nodes,differential equations are satisfied in all nodes and auxiliary points.This method is applied to numerically simulate the river of keeping under controlling unsteady flow,The result shows that algorithm of the method than finite difference method higher accuracy and good stability.

关 键 词：最小二乘配点无网格法 径向基函数 一维非稳定流 地下水数值模拟 

分 类 号：P641[天文地球—地质矿产勘探]