Numerical Study of Trapped Waves Propagation over a Submerged Step

Qian Wu, You Dong, Xingya Feng

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

In this paper, propagation of trapped waves traveling along a submerged step is investigated numerically. Within the framework of the exact model of surface gravity waves, a numerical model based on a conformal mapping method is developed to simulate nonlinear wave propagation. Regular incident waves over a range of driving frequencies and ratio of the depth in shallower water (h2) and deeper water (h1) are designed to generate the first four trapped modes. For each of the trapped modes considered, the time and spatial domain structure of the wave trapping are obtained and analysed. The trapped harmonic wave amplitude is characterized by reflection coefficients and Fourier series coefficients, as well as the parameters of skewness and kurtosis. The results of reflection coefficients are found to agree well with the theoretical predictions. In addition, the linear and weakly nonlinear trapped waves induced by weak resonant interactions of water waves are identified by the apparent variation of the higher harmonic components. It is found that the nonlinearity grows with the increase of trapped modes and wave steepnesses but has little effect on the reflection.

Original languageEnglish
Title of host publicationProceedings of the 32nd International Ocean and Polar Engineering Conference, ISOPE 2022
PublisherInternational Society of Offshore and Polar Engineers
Pages2671-2677
Number of pages7
ISBN (Print)9781880653814
Publication statusPublished - Jun 2022
Event32nd International Ocean and Polar Engineering Conference, ISOPE 2022 - Shanghai, China
Duration: 5 Jun 202210 Jun 2022

Publication series

NameProceedings of the International Offshore and Polar Engineering Conference
ISSN (Print)1098-6189
ISSN (Electronic)1555-1792

Conference

Conference32nd International Ocean and Polar Engineering Conference, ISOPE 2022
Country/TerritoryChina
CityShanghai
Period5/06/2210/06/22

Keywords

  • conformal mapping
  • nonlinear waves
  • trapped mode
  • Wave reflection

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Ocean Engineering
  • Mechanical Engineering

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