IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v225y2024icp820-834.html
   My bibliography  Save this article

Numerical approaches for Boussinesq type equations with its application in Kampar River, Indonesia

Author

Listed:
  • Magdalena, I.
  • Haloho, D.N.
  • Adityawan, M.B.

Abstract

In this study, we examine numerous numerical approaches for solving the 1-Dimensional Boussinesq problem. The proposed methods to be discussed include Mohapatra and Chaudhry’s two-four finite difference scheme, the modified two-four finite difference scheme, and the staggered finite volume scheme. The modified two-four finite difference scheme and staggered finite volume scheme has a shorter computational time than the Mohapatra–Chaudhry scheme, which reduces the computational cost. We compare the performance of each numerical scheme against the analytical solutions and approximate solutions using different type of numerical method that is called the MUSCL4 scheme. Furthermore, the calculated results are compared and utilized to assess the contribution of each individual Boussinesq term. Each Boussinesq term was evaluated to examine its affect on the Boussinesq equation’s calculated result. Further, we also implement the numerical schemes that we formulate to investigate the undular bore phenomena in Kampar River. This finding may be useful to those who use the Boussinesq equation to study fluid or wave phenomena.

Suggested Citation

  • Magdalena, I. & Haloho, D.N. & Adityawan, M.B., 2024. "Numerical approaches for Boussinesq type equations with its application in Kampar River, Indonesia," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 820-834.
    • Handle: RePEc:eee:matcom:v:225:y:2024:i:c:p:820-834
    DOI: 10.1016/j.matcom.2023.05.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475423002070
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2023.05.002?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ucar, Y. & Karaagac, B. & Esen, A., 2015. "A new approach on numerical solutions of the Improved Boussinesq type equation using quadratic B-spline Galerkin finite element method," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 148-155.
    2. Jian Wang & Dongfang Liang & Jingxin Zhang & Yang Xiao, 2016. "Comparison between shallow water and Boussinesq models for predicting cascading dam-break flows," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 83(1), pages 327-343, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hriday Mani Kalita, 2020. "A Numerical Model for 1D Bed Morphology Calculations," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(15), pages 4975-4989, December.
    2. Hui Hu & Jianfeng Zhang & Tao Li & Jie Yang, 2020. "A simplified mathematical model for the dam-breach hydrograph for three reservoir geometries following a sudden full dam break," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 102(3), pages 1515-1540, July.

    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:eee:matcom:v:225:y:2024:i:c:p:820-834. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.