摘要
提出了一种新的给水管网水力计算方法.该方法对给水管网系统的节点流量连续性方程进行重新构造,用改进的Cholesky分解方法对重新构造的矩阵进行三角分解,然后使用预处理共轭梯度法求解.经用供水管网模型进行验证并与EPANET软件的计算结果进行比较,结果表明:该算法共迭代5次,用时0.102 s,与EPANET混合节点-环方法的求解精度和速度非常接近,且弥补了EPANET软件的应用缺陷,可用于求解大型城市的给水管网系统.
A calculation method of water distribution network hydraulic was proposed.The nodes flow conti-nuity equation of water distribution system was reconstructed,the reconstructed matrix was decomposed tri-angularly by a modified Cholesky decomposition method,and thus it was suitable for the use of precondi-tioned conjugate gradient method.It was tested by the model of water distribution network(WDN)hydrau-lic.Compared with calculation result of EPANET software,the proposed algorithm does total iteration five times in 0.1 02 s,which closed to the result of mixed node-ring method used in EPANET software in the as-pect of accuracy and speed.The proposed algorithm overcame the defects of EPANET software,which could be used to solve large-scale urban water supply network system.
出处
《郑州轻工业学院学报(自然科学版)》
CAS
2014年第3期92-96,共5页
Journal of Zhengzhou University of Light Industry:Natural Science
关键词
给水管网水力计算方法
预处理共轭梯度法
CHOLESKY分解
混合节点-环方法
calculation method of water distribution network ( WDN ) hydraulic
preconditioned conjugategradient method
Cholesky decomposition
mixed node-ring method