Journal of Scientific Computing

, Volume 17, Issue 1–4, pp 143–152 | Cite as

A Discontinuous Spectral Element Model for Boussinesq-Type Equations

  • C. Eskilsson
  • S. J. Sherwin


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.

discontinuous spectral element method Boussinesq-type equations 


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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • C. Eskilsson
    • 1
  • S. J. Sherwin
    • 2
  1. 1.Water Environment TransportChalmers University of TechnologyGothenburgSweden
  2. 2.Department of AeronauticsImperial College of Science, Technology and MedicineLondonUnited Kingdom

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