Improved Boussinesq-type equations for spatially and temporally varying bottom

S. Beji*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Boussinesq-type equations with improved linear dispersion characteristics are derived for spatially and temporally varying bottom. Starting from the first principles, spatial variations and temporal movements of seabed due to underwater earthquakes, landslides and alike are incorporated into the Boussinesq-type equations. The momentum equation is then manipulated by the partial replacement technique so that a generalized Boussinesq set of equations with improved dispersion characteristics is obtained. For an impulsive bed motion-simulated wave profiles are compared with experimental measurements. Waves generated by an ellipsoidal slump moving down on an inclined plane are also numerically simulated to disclose the effect of a newly derived term. Overall, the new set of equations is expected to provide more accurate representation of wave motions due to bottom movements by correctly modeling accelerative bed effects and propagation of relatively shorter waves.

Original languageEnglish
Pages (from-to)318-326
Number of pages9
JournalCoastal Engineering Journal
Volume60
Issue number3
DOIs
Publication statusPublished - 2018

Bibliographical note

Publisher Copyright:
© 2018 Japan Society of Civil Engineers

Keywords

  • Boussinesq equations
  • Improved dispersion characteristics
  • Landslides
  • Spatially and temporally varying bottom
  • Tsunamis

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