PSME model of parametric excitation of two-layer liquid in a tank

Nima Vaziri*, Ming-Jyh Chern, Alistair G. L. Borthwick

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Internal waves driven by external excitation constitute important phenomena that are often encountered in environmental fluid mechanics. In this study, a pseudospectral o-transformation model is used to simulate parametric excitation of stratified liquid in a two-layer rectangular tank. The o-transformation maps the physical domain including the liquid free surface, the interface between the liquid layers, and the bed, onto a pair of fixed rectangular computational domains corresponding to the two layers. The governing equation and boundary conditions are discreused using Chebyshev collocation formulae. The numerical model is verified for two analytical sloshing problems: horizontal excitation of constant density liquid in a rectangular tank, and vertical excitation of stratified liquid in a rectangular tank. A detailed analysis is provided of liquid motions in a shallow water tank due to excitations in the horizontal and the vertical directions. Also, the effect of pycnocline on the wave motions and patterns is studied. It is found that wave regimes and patterns are considerably influenced by the pycnocline, especially when the excitation frequency is large. The present study demonstrates that a pseudospectral o-transformation is capable to model non-linear sloshing waves in a two-layer rectangular tank. (C) 2013 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)214-222
Number of pages9
JournalApplied Ocean Research
Publication statusPublished - Oct 2013


  • PSME method
  • Two-layer system
  • Parametric excitation
  • Stratification
  • Internal waves
  • FLOW


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