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Nonlinear acceleration waves in porous media

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  • 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
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    References listed on IDEAS

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    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.
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    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.

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