On some nonlinear wave diffraction and refraction solutions in shallow water

Masoud Hayatdavoodi, R. Cengiz Ertekin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Diffraction and refraction of nonlinear shallow water waves due to uneven bathymetry is studied numerically in two and three dimensions. The numerical tank consists of a wavemaker at the upwave side of the domain, the submerged obstacles in the middle of the domain, and a numerical wave absorber on the downwave of the domain. The numerical wavemaker is capable of generating solitary and cnoidal waves as solutions of the Green-Naghdi (GN) equations. The nonlinear wave refraction and diffraction is studied by use of the Level I GN equations. The system of equations are solved numerically in time domain by use of a second-order finite difference approach, and in a boundary-fitted coordinate system. Various forms of three-dimensional bathymetry with large slopes, including flat and curved ramps from deep to shallow regions are considered. Results include solitary and cnoidal wave surface elevation and particle velocities and are compared with the existing solutions where possible. Overall very good agreement is observed. Discussion is provided on the nonlinearity and dispersion effects on the wave diffraction and refraction, as well as on the performance of the GN equations in solving these problems.

Original languageEnglish
Title of host publicationProceedings of the ASME 2022 41st International Conference on Ocean, Offshore and Arctic Engineering (OMAE2022)
Place of PublicationGermany
PublisherAmerican Society of Mechanical Engineers
ISBN (Electronic)9780791885895
ISBN (Print)9780791885895
DOIs
Publication statusPublished - 5 Jun 2022
EventASME 2022 41st International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2022) - Congress Center Hamburg, Hamburg, Germany
Duration: 5 Jun 202210 Jun 2022
https://event.asme.org/OMAE

Conference

ConferenceASME 2022 41st International Conference on Ocean, Offshore and Arctic Engineering (OMAE 2022)
Country/TerritoryGermany
CityHamburg
Period5/06/2210/06/22
Internet address

Keywords

  • Green-Naghdi equations
  • Nonlinear waves
  • soliton fission
  • wave refraction and diffraction

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