IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/6692067.html
   My bibliography  Save this article

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

Author

Listed:
  • Majid Niazkar
  • Gökçen Eryılmaz Türkkan

Abstract

In 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.

Suggested Citation

  • Majid Niazkar & Gökçen Eryılmaz Türkkan, 2021. "Application of Third-Order Schemes to Improve the Convergence of the Hardy Cross Method in Pipe Network Analysis," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-12, March.
    • Handle: RePEc:hin:jnlamp:6692067
    DOI: 10.1155/2021/6692067
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2021/6692067.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2021/6692067.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/6692067?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jan Vysocký & Ladislav Foltyn & Dejan Brkić & Renáta Praksová & Pavel Praks, 2022. "Steady-State Analysis of Electrical Networks in Pandapower Software: Computational Performances of Newton–Raphson, Newton–Raphson with Iwamoto Multiplier, and Gauss–Seidel Methods," Sustainability, MDPI, vol. 14(4), pages 1-12, February.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlamp:6692067. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.