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无网格伽辽金法在施工导流二维数值模拟中的应用
引用本文:贺昌海,杨永平.无网格伽辽金法在施工导流二维数值模拟中的应用[J].华中科技大学学报(自然科学版),2007,35(9):59-61,76.
作者姓名:贺昌海  杨永平
作者单位:武汉大学,水资源与水电工程科学国家重点实验室,湖北,武汉,430072
摘    要:针对有限元法等传统数值计算方法存在受单元网格限制、前后处理工作复杂的问题,提出应用一种数值计算方法--无网格伽辽金法,对具有简单边界条件的水利水电工程施工导流的恒定二维浅水流动问题进行了分析、计算.同时利用有限元法进行了对比计算,从流速、水位的计算结果来看,两种计算方法结果相近、误差较小,表明采用无网格伽辽金法解决此类问题是可行的.

关 键 词:无网格伽辽金法  移动最小二乘法  有限元法  施工导流  浅水方程  无网格伽辽金法  施工导流  二维数值模拟  应用  construction  numerical  simulation  Galerkin  meshless  method  误差  数值计算方法  结果  水位  流速  对比计算  利用  分析  流动问题  浅水  水利水电工程  边界条件  工作
文章编号:1671-4512(2007)09-0059-03
修稿时间:2006-09-18

Application of Galerkin meshless method to two-dimensional numerical simulation of construction diversion
He Changhai,Yang Yongping.Application of Galerkin meshless method to two-dimensional numerical simulation of construction diversion[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,2007,35(9):59-61,76.
Authors:He Changhai  Yang Yongping
Institution:State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
Abstract:The limitation of conventional finite element method(FEM) and other methods was pointed.It is proposed to calculate two-dimensional shallow water flow with simple border condition in river diversion during construction of hydraulic and hydroelectric engineering by using mesh free Galerkin method.The parallel calculation was made by the FEM.The results of the flow velocity and water level obtained by two calculation methods were quite similar,showing that mesh free Galerkin method is feasible to solve simple problem of two-dimensional shallow water flow.
Keywords:mesh free Galerkin method  moving least square method  finite element method  construction diversion  shallow water equation
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