Run-Up of Solitary Waves on Twin Conical Islands Using a Boussinesq Model

Dongfang Liang*, Alistair G. L. Borthwick, Jonathan K. Romer-Lee

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper investigates the interaction of solitary waves (representative of tsunamis) with idealized flat-topped conical islands. The investigation is based on simulations produced by a numerical model that solves the two-dimensional Boussinesq-type equations of Madsen and Sorensen using a total variation diminishing Lax-Wendroff scheme. After verification against published laboratory data on solitary wave run-up at a single island, the numerical model is applied to study the maximum run-up at a pair of identical conical islands located at different spacings apart for various angles of wave attack. The predicted results indicate that the maximum run-up can be attenuated or enhanced according to the position of the second island because of wave refraction, diffraction, and reflection. It is also observed that the local wave height and hence run-up can be amplified at certain gap spacing between the islands, owing to the interference between the incident waves and the reflected waves between islands. [DOI: 10.1115/1.4003394]

Original languageEnglish
Article number011102
Number of pages9
JournalJournal of Offshore Mechanics and Arctic Engineering
Volume134
Issue number1
DOIs
Publication statusPublished - Feb 2012

Keywords

  • solitary wave
  • tsunami
  • shock-capturing
  • TVD
  • Boussinesq equations
  • CIRCULAR ISLAND
  • TSUNAMI
  • TRANSFORMATION
  • SIMULATION
  • BREAKING

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