A Discontinuous Spectral Element Model for Boussinesq-Type Equations |
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| Authors: | C Eskilsson S J Sherwin |
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| Affiliation: | (1) Water Environment Transport, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden;(2) Department of Aeronautics, Imperial College of Science, Technology and Medicine, London, SW7 2BY, United Kingdom |
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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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| Keywords: | discontinuous spectral element method Boussinesq-type equations |
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