| 水锤方程数值模拟的有限元法 |
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| 引用本文： | 陈辉,桑海涛,丛凌博.水锤方程数值模拟的有限元法[J].黑龙江科技学院学报,2007,17(3):231-233,242. |
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| 作者姓名： | 陈辉 桑海涛 丛凌博 |
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| 作者单位： | 1. 黑龙江科技学院数力系
2. 黑龙江科技学院计算机与信息工程学院,哈尔滨150027 |
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| 摘 要： | 针对输水管网的地形复杂、PCCP管与钢管混合使用、边界条件复杂等特点,利用有限元的思想求解并模拟水锤波的传播情况.水锤方程是拟线性方程组,在运用有限元法离散空间变量时,刚度矩阵中会出现关于时间变量的元素.对此,借鉴迭代法和分离变量法的思想解决了这一难题,克服了传统特征线方法的不足,实现了计算精度高、稳定性好、计算结果可靠的目的.
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| 关 键 词： | 水锤 有限元 正演模拟 水锤 拟线性方程组 数值模拟 有限元法 equations water hammer numerical Simulation method element 结果 计算精度 稳定性 特征线方法 分离变量法 迭代法 元素 时间变量 刚度矩阵 空间变量 离散 |
| 文章编号： | 1671-0118（2007）03-0231-03 |
| 修稿时间： | 2007-01-30 |
Finite element method in numerical Simulation of water hammer equations |
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| CHEN Hui,SANG Haitao,CONG Lingbo.Finite element method in numerical Simulation of water hammer equations[J].Journal of Heilongjiang Institute of Science and Technology,2007,17(3):231-233,242. |
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| Authors: | CHEN Hui SANG Haitao CONG Lingbo |
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| Institution: | 1. Department of Mathematics and Mechanics, Heilongjiang Institute of Science and Technology ; 2. College of Computer and Information Engineering, Heilongjiang Institute of Science and Technology, Harbin 150027, China |
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| Abstract: | Aimed at the complex landform,the combined use of PCCP pipes and steel pipe and complex boundary condition,the paper introduces the use of finite element for solution and the stimulation of water hammer wave's movements.To seek solution to the occurrence of elements about time variable in rigidity matrix,due to the use of finite element method to disperse void variable,because water hammer equation is nonlinearity equations set,the paper discusses the dependence on iteration method and method of separation of variables.The method,capable of overcoming the disadvantages of conventional typical line,presents such advantages as more accurate calculation,better stability and more reliable result. |
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| Keywords: | water hammer finite element forward modeling |
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