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Research Papers: Ocean Engineering

Numerical Investigation of Focused Waves and Their Interaction With a Vertical Cylinder Using REEF3D

[+] Author and Article Information
Hans Bihs

Department of Civil and Environmental Engineering,
Norwegian University of Science
and Technology,
Trondheim 7491, Norway
e-mail: hans.bihs@ntnu.no

Mayilvahanan Alagan Chella, Arun Kamath, Øivind Asgeir Arntsen

Department of Civil and Environmental Engineering,
Norwegian University of Science
and Technology,
Trondheim 7491, Norway

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 July 8, 2016; final manuscript received February 21, 2017; published online May 10, 2017. Assoc. Editor: Xi-Ying Zhang.

J. Offshore Mech. Arct. Eng 139(4), 041101 (May 10, 2017) (8 pages) Paper No: OMAE-16-1078; doi: 10.1115/1.4036206 History: Received July 08, 2016; Revised February 21, 2017

For the stability of offshore structures, such as offshore wind foundations, extreme wave conditions need to be taken into account. Waves from extreme events are critical from the design perspective. In a numerical wave tank, extreme waves can be modeled using focused waves. Here, linear waves are generated from a wave spectrum. The wave crests of the generated waves coincide at a preselected location and time. Focused wave generation is implemented in the numerical wave tank module of REEF3D, which has been extensively and successfully tested for various wave hydrodynamics and wave–structure interaction problems in particular and for free surface flows in general. The open-source computational fluid dynamics (CFD) code REEF3D solves the three-dimensional Navier–Stokes equations on a staggered Cartesian grid. Higher order numerical schemes are used for time and spatial discretization. For the interface capturing, the level set method is selected. In order to test the generated waves, the time series of the free surface elevation are compared with experimental benchmark cases. The numerically simulated free surface elevation shows good agreement with experimental data. In further computations, the impact of the focused waves on a vertical circular cylinder is investigated. A breaking focused wave is simulated and the associated kinematics is investigated. Free surface flow features during the interaction of nonbreaking focused waves with a cylinder and during the breaking process of a focused wave are also investigated along with the numerically captured free surface.

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References

Figures

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Fig. 1

Comparison of the numerical results with the experimental wave gauge data at the focus point XF for case A as in Ref. [5]

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Fig. 2

Numerical grid refinement study for case A

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Fig. 3

Free surface elevations along the wave flume, in wave direction for case B

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Fig. 4

Comparison of the numerical results with the experimental wave gauge data at the focus point XF for case B as in Ref. [5]

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Fig. 5

Comparison of numerical and experimental free surface elevations for case C

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Fig. 6

Comparison of numerical and experimental wave forces on the vertical circular cylinder for case C

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Fig. 7

Comparison of numerical and experimental free surface elevations for case D

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Fig. 8

Comparison of numerical and experimental wave forces on the vertical circular cylinder for case D

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Fig. 9

Simulated free surfaces with velocity magnitude (m/s) during the interaction for different time instants for case D: (a) t = 8.0 s, (b) t = 8.2 s, (c) t = 8.4 s, and (d) t = 8.6 s

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Fig. 10

Modeled free surface flow features with free surface elevation (m) variation during the focused wave interaction with the cylinder for different time (t) instants for case D: (a) t = 8.0 s, (b) t = 8.2 s, (c) t = 8.4 s, and (d) t = 8.6 s

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Fig. 11

Modeled free surface flow features with free surface elevation (m) variation after the focused wave interaction with the cylinder for different time (t) instants for case D: (a) t = 9.2 s, (b) t = 9.4 s, and (c) t = 9.6 s

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Fig. 12

Simulated wave surface elevations along the wave tank for the breaking focused wave case

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Fig. 13

Simulated wave surface elevation at x = 5.80 m for the breaking focused wave case

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Fig. 14

Simulated free surface profiles with velocity magnitude (m/s) during the breaking process for different time (t) instants: (a) t = 6.8 s, (b) t = 7.35 s, and (c) t = 7.5 s

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