IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v273y2016icp165-177.html
   My bibliography  Save this article

An alternative approach to study nonlinear inviscid flow over arbitrary bottom topography

Author

Listed:
  • Panda, Srikumar
  • Martha, S.C.
  • Chakrabarti, A.

Abstract

This paper deals with a new approach to study the nonlinear inviscid flow over arbitrary bottom topography. The problem is formulated as a nonlinear boundary value problem which is reduced to a Dirichlet problem using certain transformations. The Dirichlet problem is solved by applying Plemelj–Sokhotski formulae and it is noticed that the solution of the Dirichlet problem depends on the solution of a coupled Fredholm integral equation of the second kind. These integral equations are solved numerically by using a modified method. The free-surface profile which is unknown at the outset is determined. Different kinds of bottom topographies are considered here to study the influence of bottom topography on the free-surface profile. The effects of the Froude number and the arbitrary bottom topography on the free-surface profile are demonstrated in graphical forms for the subcritical flow. Further, the nonlinear results are validated with the results available in the literature and compared with the results obtained by using linear theory.

Suggested Citation

  • Panda, Srikumar & Martha, S.C. & Chakrabarti, A., 2016. "An alternative approach to study nonlinear inviscid flow over arbitrary bottom topography," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 165-177.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:165-177
    DOI: 10.1016/j.amc.2015.09.086
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315013247
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.09.086?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. Panda, Srikumar & Martha, S.C. & Chakrabarti, A., 2015. "A modified approach to numerical solution of Fredholm integral equations of the second kind," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 102-112.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Gupta, Sourav & Gayen, R., 2019. "Water wave interaction with dual asymmetric non-uniform permeable plates using integral equations," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 436-451.

    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.

      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:apmaco:v:273:y:2016:i:c:p:165-177. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

      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.