Fully nonlinear model for water wave propagation from deep to shallow waters

A. Galan, G. Simarro, A. Orfila, J. Simarro, P. L.F. Liu

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

A set of fully nonlinear Boussinessq-type equations (BTEs) with improved linear and nonlinear dispersive performance is presented. The highest order of the derivatives is three in the equations, and they use the minimum number of unknowns: the free surface elevation and the horizontal velocity at a certain depth. The equations allow reduction of the errors both in linear frequency dispersion and shoaling below 0.30% for kh≤5, and below 2.2% for kh≤10, with k as the wave number and h as the water depth. The weakly nonlinear performance is also improved for kh≤2.A simple fourth-order explicit numerical scheme is presented to test the linear and nonlinear behavior of the model equations against analytical and experimental results.

Original languageEnglish
Pages (from-to)362-371
Number of pages10
JournalJournal of Waterway, Port, Coastal and Ocean Engineering
Volume138
Issue number5
DOIs
Publication statusPublished - 2012

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Water Science and Technology
  • Ocean Engineering

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