Water Distribution System Analysis: Newton-Raphson Method Revisited

Spiliotis, M; Tsakiris, G

dc.contributor.author	Spiliotis, M	en
dc.contributor.author	Tsakiris, G	en
dc.date.accessioned	2014-03-01T01:37:32Z
dc.date.available	2014-03-01T01:37:32Z
dc.date.issued	2011	en
dc.identifier.issn	0733-9429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21548
dc.subject	Flow resistance	en
dc.subject	Pipe networks	en
dc.subject	Water distribution systems	en
dc.subject.classification	Engineering, Civil	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Water Resources	en
dc.subject.other	Flow resistance	en
dc.subject.other	Gradient algorithm	en
dc.subject.other	Head loss	en
dc.subject.other	Hydraulic heads	en
dc.subject.other	Iterative procedures	en
dc.subject.other	Newton-Raphson	en
dc.subject.other	Pipe networks	en
dc.subject.other	Q method	en
dc.subject.other	Simplified algorithms	en
dc.subject.other	Water distributions	en
dc.subject.other	Algorithms	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Inverse kinematics	en
dc.subject.other	Jacobian matrices	en
dc.subject.other	Local area networks	en
dc.subject.other	Systems analysis	en
dc.subject.other	Water distribution systems	en
dc.subject.other	Newton-Raphson method	en
dc.subject.other	accuracy assessment	en
dc.subject.other	algorithm	en
dc.subject.other	discharge	en
dc.subject.other	distribution system	en
dc.subject.other	flow modeling	en
dc.subject.other	fluid dynamics	en
dc.subject.other	hydraulic conductivity	en
dc.subject.other	hydraulic head	en
dc.subject.other	hydraulics	en
dc.subject.other	pipe flow	en
dc.title	Water Distribution System Analysis: Newton-Raphson Method Revisited	en
heal.type	journalArticle	en
heal.identifier.primary	10.1061/(ASCE)HY.1943-7900.0000364	en
heal.identifier.secondary	http://dx.doi.org/10.1061/(ASCE)HY.1943-7900.0000364	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Looped water distribution systems are conventionally analyzed using iterative methods such as Cross, Linear, Newton-Raphson, and Gradient algorithm methods. Depending on the unknown (hydraulic head or discharge), the methods are characterized as h or Q methods. This paper focuses on the h-Newton-Raphson method, which uses the Darcy-Weisbach head loss equation. The paper presents a procedure for improving the h-Newton-Raphson iterative procedure by directly calculating the discharge of each branch by using the Swamee and Jain equation. The proposed procedure leads to a simplified algorithm and more accurate determination of the Jacobian matrix, which accelerates the convergence of the algorithm. DOI: 10.1061/(ASCE)HY.1943-7900.0000364. (C) 2011 American Society of Civil Engineers.	en
heal.publisher	ASCE-AMER SOC CIVIL ENGINEERS	en
heal.journalName	Journal of Hydraulic Engineering	en
dc.identifier.doi	10.1061/(ASCE)HY.1943-7900.0000364	en
dc.identifier.isi	ISI:000293530300008	en
dc.identifier.volume	137	en
dc.identifier.issue	8	en
dc.identifier.spage	852	en
dc.identifier.epage	855	en