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Research Papers: CFD and VIV

Computational Fluid Dynamics Simulations of Regular and Irregular Waves Past a Horizontal Semi-Submerged Cylinder

[+] Author and Article Information
Shengnan Liu

Department of Mechanical and Structural
Engineering and Materials Science,
University of Stavanger,
Stavanger 4036, Norway
e-mail: shengnan.liu@uis.no

Muk Chen Ong, Charlotte Obhrai

Department of Mechanical and Structural
Engineering and Materials Science,
University of Stavanger,
Stavanger 4036, Norway

Sopheak Seng

Research Department,
Bureau Veritas,
Neuilly-sur-Seine 4036, France

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received June 4, 2017; final manuscript received October 24, 2017; published online December 6, 2017. Assoc. Editor: Celso P. Pesce.

J. Offshore Mech. Arct. Eng 140(3), 031801 (Dec 06, 2017) (11 pages) Paper No: OMAE-17-1085; doi: 10.1115/1.4038349 History: Received June 04, 2017; Revised October 24, 2017

Two-dimensional (2D) numerical simulations have been performed to investigate both regular and irregular waves past a fixed horizontally semisubmerged circular cylinder. The 2D simulations are carried out by solving Navier–Stokes equations discretized by finite volume method. Volume of fluid (VOF) method is employed to capture the free surface in the numerical wave tank (NWT). Validation studies have been performed by comparing the numerical results of free surface waves past the cylinder with the published experimental and numerical data. The present numerical results are in good agreement with both the experimental and the other numerical results in terms of hydrodynamic forces and free surface elevation. Subsequently, the effects of the wave height and the wavelength on wave–structure interaction are investigated by conducting numerical simulations on the regular and the irregular waves past a semisubmerged cylinder at different wave heights and the wavelengths. The averaged and maximum vertical wave forces on the cylinder increase with the increasing wave height. The numerical results for the irregular waves are compared with those induced by the regular waves in terms of the maximum and averaged vertical wave forces. When the significant wave height and the spectral peak period of the irregular waves are equal to the wave height and the wave period of the regular waves, the maximum vertical wave force induced by the irregular waves is larger than that induced by the regular waves, meanwhile, the average vertical wave forces have the contrary relationship.

Copyright © 2018 by ASME
Topics: Waves , Simulation , Cylinders
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Figures

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Fig. 1

A sketch of different computation cells at boundary

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Fig. 2

A sketch of intersection between free surface and boundary face

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Fig. 3

Layout of the NWT with the relaxation zones

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Fig. 4

Definition sketch of free surface waves past a semisubmerged horizontal circular cylinder

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Fig. 5

Fv′ with different meshes (a) and different time-steps (b) (with mesh 3) over one wave period for case A4-regular waves

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Fig. 6

Mesh used for case A4: (a) mesh in the central part of the wave domain and (b) zoom-in view of mesh around the cylinder

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Fig. 7

Fv′ spectra with different meshes (a) and different time-steps (b) (with mesh 3) for case A4-irregular waves

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Fig. 8

Wave gauges distribution in the NWT without the cylinder

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Fig. 9

Wave amplitude spectra at wave gauge 1 (a) and wave gauge 2 (b)

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Fig. 10

Fv′ versus t′ over one wave period for case A4

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Fig. 11

Time history of free surface elevation over one wave period for case A4: (a) t′=0.00, (b) t′=0.13, (c) t′=0.42, (d) t′=0.60, (e) t′=0.71, and (f) t′=1.00

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Fig. 12

Fv′ versus t′ over one wave period for case A2

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Fig. 13

Average and maximum Fv′ versus different wave heights for regular and irregular waves

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Fig. 14

interaction of wave peak and trough with the cylinder for irregular waves case A4: (a) Interaction of wave peak and cylinder (t = 41.69 s) and (b) Interaction of wave trough and cylinder (t = 42.25s)

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Fig. 15

Fv′ versus t′ in regular and irregular waves for case A2 (a) and case A4 (b)

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Fig. 16

Fv′ versus t′ over one wave period for different wave height

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Fig. 17

Spectral density of Fv′ for irregular waves

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Fig. 18

Average and maximum Fv′ versus different wavelengths for regular and irregular waves

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Fig. 19

Fv′ versus t′ in regular and irregular waves for case L1 (a) and case L4 (b)

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Fig. 20

Spectral density of Fv′ for irregular waves

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Fig. 21

Fv′ versus t′ over one wave period for different wavelength

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