IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v80y2009i4p763-769.html
   My bibliography  Save this article

Nonlinear acceleration waves in porous media

Author

Listed:
  • Straughan, B.

Abstract

We review three theories explaining why waves in a diffusion problem can travel with a finite speed. We then briefly look at a class of equivalent fluid theories for sound propagation in porous media. Finally, we derive a Cattaneo model for an elastic material containing a distribution of voids. Nonlinear acceleration wave motion in such a class of materials is also considered.

Suggested Citation

  • Straughan, B., 2009. "Nonlinear acceleration waves in porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 763-769.
  • Handle: RePEc:eee:matcom:v:80:y:2009:i:4:p:763-769
    DOI: 10.1016/j.matcom.2009.08.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037847540900264X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2009.08.013?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. Ismail, M.S. & Taha, Thiab R., 2007. "A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(4), pages 302-311.
    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. Christov, Ivan C. & Jordan, P.M. & Chin-Bing, S.A. & Warn-Varnas, A., 2016. "Acoustic traveling waves in thermoviscous perfect gases: Kinks, acceleration waves, and shocks under the Taylor–Lighthill balance," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 127(C), pages 2-18.

    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. Ismail, M.S., 2008. "Numerical solution of coupled nonlinear Schrödinger equation by Galerkin method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 532-547.
    2. Wang, Tingchun & Nie, Tao & Zhang, Luming & Chen, Fangqi, 2008. "Numerical simulation of a nonlinearly coupled Schrödinger system: A linearly uncoupled finite difference scheme," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 607-621.
    3. Ilati, Mohammad & Dehghan, Mehdi, 2019. "DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose–Einstein condensates," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 244-253.
    4. Vyacheslav Trofimov & Maria Loginova & Mikhail Fedotov & Daniil Tikhvinskii & Yongqiang Yang & Boyuan Zheng, 2022. "Conservative Finite-Difference Scheme for 1D Ginzburg–Landau Equation," Mathematics, MDPI, vol. 10(11), pages 1-24, June.
    5. Lin, Bin, 2019. "Parametric spline schemes for the coupled nonlinear Schrödinger equation," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 58-69.

    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:763-769. 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.