IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v59y2002i4p341-360.html
   My bibliography  Save this article

Modelling and simulation of surface water waves

Author

Listed:
  • Groesen, E.van
  • Westhuis, J.H.

Abstract

The evolution of waves on the surface of a layer of fluid is governed by non-linear effects from surface deformations and dispersive effects from the interaction with the interior fluid motion. Several simulation tools are described in this paper and compared with real life experiments in large tanks of a hydrodynamic laboratory. For the full surface wave equations a numerical FEM/FD program is described that solves both the interior flow and the surface evolution; apart from being very efficient, the program performs remarkably well. For theoretical analysis, simplified equations are desired. These can be obtained by modelling the interior flow to some degree of accuracy, leading to a single equation for the surface elevation. As representatives of this class, we discuss KdV-type of equations and, for wave packets, the NLS equation. We show that even this last equation describes quite well the large, non-symmetric deformations of the envelope of bi-harmonic waves when formulated as a signalling problem.

Suggested Citation

  • Groesen, E.van & Westhuis, J.H., 2002. "Modelling and simulation of surface water waves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 59(4), pages 341-360.
    • Handle: RePEc:eee:matcom:v:59:y:2002:i:4:p:341-360
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475401004165
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Boyd, John P. & Chen, Guan-Yu, 2001. "Weakly nonlinear wavepackets in the Korteweg–de Vries equation: the KdV/NLS connection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(4), pages 317-328.
    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.

      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:59:y:2002:i:4:p:341-360. 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.