基于区间拟shannon小波配点法的供水系统水锤计算技术方法研究  

The Research of the Solution Method for Partial Differential Equations of Water Hammer in Water Supply System with the Proposed Shannon Wavelet Collocation Method

作　　者：程洪霞[1] 

机构地区：[1]太原理工大学水利科学与工程学院,太原030024

出　　处：《山西水利科技》2010年第2期6-9,共4页Shanxi Hydrotechnics

基　　金：山西省青年科技研究基金项目(2007021025);山西省研究生优秀创新项目"基于调压塔防护下压力管路安全运行的计算机数值模拟研究"的资助

摘　　要：文中将区间拟shannon小波配点法应用于水锤方程求解,通过将水锤方程中的待求函数用一系列拟shannon小波基函数逼近,对空间域进行离散,从而建立起关于时间的常微分方程组,构造出了水锤方程在小波空间的计算方法,并推演了管道中水锤波的传播。最后通过仿真实例计算出水锤方程的数值解,说明该方法对水锤计算具有较好的数值模拟性,从而为确保供水系统的安全和稳定运行提供技术支持。Based on the brief descriptions of the interval quasi Shannon wavelet collocation method,this paper,used a series of proposed shannon wavelet basis function approximate to the water hammer equation.Through discretizing the space domain,the paper sets up the ordinary differential equations based on time,constructed the solution method of water hammer equations in wavelet space,and demonstrating the generation and dissemination of water hammer wave in the pipeline.By calculating the numerical solution of water hammer equation shows that the method is good at stability and simulation,thus this method provides technical support for the security and stability of water supply systems.

关 键 词：水锤偏微分方程组 区间拟shannon小波 小波配点法 

分 类 号：TV131[水利工程—水力学及河流动力学]