Boussinesq-type equations with improved nonlinear performance

Andrew B. Kennedy*, James T. Kirby, Qin Chen, Robert A. Dalrymple

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

105 Scopus citations

Abstract

In this paper, we derive and test a set of extended Boussinesq equations with improved nonlinear performance. To do this, the concept of a reference elevation is further generalised to include a time-varying component that moves with the instantaneous free surface. It is found that, when compared to Stokes-type expansions of the second harmonic and fully nonlinear potential flow computations, both theoretical and practical nonlinear performance can be considerably improved. Finally, a special case of the extended equations is found to have properties which are invariant with respect to the still water datum.

Original languageEnglish (US)
Pages (from-to)225-243
Number of pages19
JournalWave Motion
Volume33
Issue number3
DOIs
StatePublished - Mar 2001

Keywords

  • Boussinesq equations
  • Numerical methods
  • Stokes-type expansions
  • Water waves

ASJC Scopus subject areas

  • Modeling and Simulation
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Applied Mathematics

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