Application of Third-Order Schemes to Improve the Convergence of the Hardy Cross Method in Pipe Network Analysis

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dc.authoridNiazkar, Majid/0000-0002-5022-1026
dc.contributor.authorNiazkar, Majid
dc.contributor.authorTurkkan, Gokcen Eryilmaz
dc.date.accessioned2024-10-04T18:48:18Z
dc.date.available2024-10-04T18:48:18Z
dc.date.issued2021
dc.departmentBayburt Üniversitesien_US
dc.description.abstractIn this study, twenty-two new mathematical schemes with third-order of convergence are gathered from the literature and applied to pipe network analysis. The presented methods were classified into one-step, two-step, and three-step schemes based on the number of hypothetical discharges utilized in solving pipe networks. The performances of these new methods and Hardy Cross method were compared by solving a sample pipe network considering four different scenarios (92 cases). The results show that the one-step methods improve the rate of convergence of the Hardy Cross method in 10 out of 24 cases (41%), while this improvement was found to be 39 out of 56 cases (69.64%) and 5 out of 8 cases (62.5%) for the two-step and three-step methods, respectively. This obviously indicates that the modified schemes, particularly the three-step methods, improve the performance of the original loop corrector method by taking lower number of iterations with the compensation of relatively more computational efforts.en_US
dc.identifier.doi10.1155/2021/6692067
dc.identifier.issn1687-9120
dc.identifier.issn1687-9139
dc.identifier.scopus2-s2.0-85103031914en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1155/2021/6692067
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3010
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000631920800002en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofAdvances in Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleApplication of Third-Order Schemes to Improve the Convergence of the Hardy Cross Method in Pipe Network Analysisen_US
dc.typeArticleen_US

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