Variational Boussinesq model for strongly nonlinear dispersive waves

C. Lawrence* (Corresponding Author), D. Adytia, E. van Groesen

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    9 Citations (Scopus)

    Abstract

    For wave tank, coastal and oceanic applications, a fully nonlinear Variational Boussinesq model with optimized dispersion is derived and a simple Finite Element implementation is described. Improving a previous weakly nonlinear version, high waves over flat and varying bottom are shown to be simulated with high accuracy for a number of different cases consisting of solitary wave propagation, a focused wave above flat bottom, irregular waves over deep water, waves over a submerged bar with steep slopes (up to 1:2) and waves over shoals.

    Original languageEnglish
    Pages (from-to)78-102
    Number of pages25
    JournalWave motion
    Volume76
    Early online date3 Nov 2017
    DOIs
    Publication statusPublished - 1 Jan 2018

    Keywords

    • Surface waves
    • Variational Boussinesq model
    • Finite element

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