2026-10-29T23:44:52Zhttps://bayburt-rdlopen.rawdatalibrary.net/oai/request

oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/131642026-10-29T19:43:05Zopenairedrivercom_bayburt_10000col_bayburt_10001com_bayburt_10007col_bayburt_10223

Application of Third-Order Schemes to Improve the Convergence of the Hardy Cross Method in Pipe Network AnalysisNiazkar, MajidTürkkan, Gökçen EryilmazIn 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.Hindawi Limited2021Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/13164https://doi.org/10.1155/2021/66920671687-9120enAdvances in Mathematical Physicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/13164