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Dispersive nonlinear shallow-water equations: some preliminary numerical results

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Abstract

The dispersive nonlinear shallow-water equations of Antuono et al. (Stud Appl Math 122:1–28, 2008) are solved by means of an explicit arbitrary high-order accurate finite-volume scheme for nonlinear hyperbolic systems with stiff source terms. Tests against typical benchmark solutions are used to illustrate the robustness and accuracy of the solver while typical solutions for the propagation of solitary waves on a slope highlight the solution value in reproducing nearshore flows.

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Authors and Affiliations

  1. DICAT, Università di Genova, via Montallegro 1, 16145, Genova, Italy

    Giovanna Grosso

  2. INSEAN (The Italian Ship Model Basin), via di Vallerano 139, 00128, Rome, Italy

    Matteo Antuono

  3. Dipartimento ISAC, Università Politecnica delle Marche, via Brecce Bianche 12, 60131, Ancona, Italy

    Maurizio Brocchini

Authors
  1. Giovanna Grosso
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  2. Matteo Antuono
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  3. Maurizio Brocchini
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Correspondence to Maurizio Brocchini.

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Grosso, G., Antuono, M. & Brocchini, M. Dispersive nonlinear shallow-water equations: some preliminary numerical results. J Eng Math 67, 71–84 (2010). https://doi.org/10.1007/s10665-009-9328-5

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  • DOI: https://doi.org/10.1007/s10665-009-9328-5

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