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A Discontinuous Spectral Element Model for Boussinesq-Type Equations

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Abstract

We present a discontinuous spectral element model for simulating 1D nonlinear dispersive water waves, described by a set of enhanced Boussinesq-type equations. The advective fluxes are calculated using an approximate Riemann solver while the dispersive fluxes are obtained by centred numerical fluxes. Numerical computation of solitary wave propagation is used to prove the exponential convergence.

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Authors and Affiliations

  1. Water Environment Transport, Chalmers University of Technology, SE-412 96, Gothenburg, Sweden

    C. Eskilsson

  2. Department of Aeronautics, Imperial College of Science, Technology and Medicine, London, SW7 2BY, United Kingdom

    S. J. Sherwin

Authors
  1. C. Eskilsson
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  2. S. J. Sherwin
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Eskilsson, C., Sherwin, S.J. A Discontinuous Spectral Element Model for Boussinesq-Type Equations. Journal of Scientific Computing 17, 143–152 (2002). https://doi.org/10.1023/A:1015144429543

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  • DOI: https://doi.org/10.1023/A:1015144429543

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