Numerical study on generation of cnoidal waves and induced viscous flow over a wavy bed

Tzu Chiang Lee, Chii-Jau Tang

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

1 Citation (Scopus)

Abstract

This article applied a general laminar flow model to simulate the cnoidal wave generation and its induced oscillatory flow over a wavy bed. The numerical model based on the stream function-vorticity (ψ - ω ) formulation by the finite analytic (FA) discretization method is used. The time-evolving boundary-fitted grid system is adopted to conform with the transient free surface and the moving wave plate all the time, where the fully nonlinear conditions are treated. In this study, the cnoidal waves developed to its final permanent waveform on a flat bottom were generated by imposing the wave plate in motion. We thus investigated those unsteady near-bottom flow characteristics influenced by the roughness of wavy bottom. Numerical results are compared with analytical solutions presented by Tanaka et al. (1998) and experimental data conducted by Fredsøe et al. (1999). From the viscous flow near the wavy wall due to vortex shedding and flow separation, the interacting flow pattern, the oscillatory boundary-layer characteristics, and flow particle trajectories were investigated in detail herein.

Original languageEnglish
Title of host publicationThe Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE
Pages846-853
Number of pages8
Publication statusPublished - 2009 Dec 1
Event19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE - Osaka, Japan
Duration: 2009 Jun 212009 Jun 26

Publication series

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

Other

Other19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE
CountryJapan
CityOsaka
Period09-06-2109-06-26

Fingerprint

Viscous flow
Flow separation
Vortex shedding
Vorticity
Laminar flow
Flow patterns
Numerical models
Boundary layers
Vortex flow
Surface roughness
Trajectories

All Science Journal Classification (ASJC) codes

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

Cite this

Lee, T. C., & Tang, C-J. (2009). Numerical study on generation of cnoidal waves and induced viscous flow over a wavy bed. In The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE (pp. 846-853). (Proceedings of the International Offshore and Polar Engineering Conference).
Lee, Tzu Chiang ; Tang, Chii-Jau. / Numerical study on generation of cnoidal waves and induced viscous flow over a wavy bed. The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE. 2009. pp. 846-853 (Proceedings of the International Offshore and Polar Engineering Conference).
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Lee, TC & Tang, C-J 2009, Numerical study on generation of cnoidal waves and induced viscous flow over a wavy bed. in The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE. Proceedings of the International Offshore and Polar Engineering Conference, pp. 846-853, 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE, Osaka, Japan, 09-06-21.

Numerical study on generation of cnoidal waves and induced viscous flow over a wavy bed. / Lee, Tzu Chiang; Tang, Chii-Jau.

The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE. 2009. p. 846-853 (Proceedings of the International Offshore and Polar Engineering Conference).

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

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Lee TC, Tang C-J. Numerical study on generation of cnoidal waves and induced viscous flow over a wavy bed. In The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE. 2009. p. 846-853. (Proceedings of the International Offshore and Polar Engineering Conference).