IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v80y2009i4p860-873.html
   My bibliography  Save this article

Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves

Author

Listed:
  • Mitsotakis, D.E.

Abstract

Considered here are Boussinesq systems of equations of surface water wave theory over a variable bottom. A simplified such Boussinesq system is derived and solved numerically by the standard Galerkin-finite element method. We study by numerical means the generation of tsunami waves due to bottom deformation and we compare the results with analytical solutions of the linearized Euler equations. Moreover, we study tsunami wave propagation in the case of the Java 2006 event, comparing the results of the Boussinesq model with those produced by the finite-difference code MOST, that solves the shallow water wave equations.

Suggested Citation

  • Mitsotakis, D.E., 2009. "Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 860-873.
    • Handle: RePEc:eee:matcom:v:80:y:2009:i:4:p:860-873
    DOI: 10.1016/j.matcom.2009.08.029
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475409002857
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2009.08.029?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. Chen, M., 2003. "Equations for bi-directional waves over an uneven bottom," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 62(1), pages 3-9.
    2. Dutykh, Denys & Dias, Frédéric, 2009. "Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 837-848.
    3. M. Guesmia & Ph. Heinrich & C. Mariotti, 1998. "Numerical Simulation of the 1969 Portuguese Tsunami by a Finite Element Method," 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. 17(1), pages 31-46, January.
    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:80:y:2009:i:4:p:860-873. 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.