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TECHNICAL PAPERS

Fully Nonlinear Multidirectional Waves by a 3-D Viscous Numerical Wave Tank

[+] Author and Article Information
M. H. Kim, J. M. Niedzwecki, J. M. Roesset, J. C. Park, S. Y. Hong, A. Tavassoli

Department of Civil Engineering (Ocean Engineering Program), Offshore Technology Research Center, Texas A&M University, College Station, TX 77843

J. Offshore Mech. Arct. Eng 123(3), 124-133 (Mar 09, 2001) (10 pages) doi:10.1115/1.1377598 History: Received March 31, 2000; Revised March 09, 2001
Copyright © 2001 by ASME
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References

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Scourup, J., and Schaffer, H. A., 1998, “Simulations with a 3D Active Absorption Method in a Numerical Wave Tank,” Proc. ISOPE’98 Conf., Montreal, Canada, 3 , pp. 248–255.
Kim,  D. J., and Kim,  M. H., 1997, “Wave-current Interaction with a Large 3-D Body by THOBEM,” J. Ship Res. 41, pp. 273–285.
Williams, A. N., and Crull, W. W., 1996, “Theoretical Analysis of Directional Waves in a Laboratory Basin,” Proc. ISOPE’96 Conf., Los Angeles, CA, 3 , pp. 65–72.
Li, W., and Williams, A. N., 1998, “Second-Order 3-D Wavemaker Theory with Side Wall Reflection,” Proc. ISOPE’98 Conf., Montreal, Canada, 3 , pp. 235–241.
Clement,  A., 1996, “Coupling of Two Absorbing Boundary Conditions for 2-D Time Domain Simulations of Free Surface Gravity Waves,” J. Comput. Phys. 126, pp. 139–151.
Tanizawa, K., and Naito, S., 1998, “An Application of Fully Nonlinear Numerical Wave Tank to the Study on Chaotic Roll Motions,” Proc. ISOPE’98 Conf., Montreal, Canada, 3 , pp. 280–287.
Xu, H., and Yue, D. K. P., 1992, “Computations of Fully-Nonlinear 3D Water Waves,” Proc. 19th Symp. Naval Hydrodynamics, Seoul, Korea.
Ferrant, P., 1998, “Fully Nonlinear Interactions of Long-crested Wave Packets with a 3D Body,” Proc. 22nd Symp. Naval Hydrodynamics, Washington, DC.
Celebi,  M. S., Kim,  M. H., and Beck,  R. F., 1998, “Fully Nonlinear 3D Numerical Wave Tank Simulation,” J. Ship Res. 42, pp. 33–45.
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Boo,  S. Y., Kim,  C. H., and Kim,  M. H., 1994, “A Numerical Wave Tank for Nonlinear Irregular Waves by 3D Higher Order BEM,” Int. J. Offshore Polar Eng. 4, pp. 17–24.
Boo, S. Y., and Kim, C. H., 1996, “Fully Nonlinear Diffraction due to a Vertical Cylinder in a 3-D HOBEM Numerical Wave Tank,” Proc. 6th ISOPE’96, Los Angeles, CA, 3 , pp. 23–30.
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Park, J. C., and Kim, M. H., 1998, “Fully Nonlinear Wave-Current-Body Interactions by a 3-D Viscous Numerical Wave Tank,” Proc. ISOPE’98, 3 , Montreal, Canada, pp. 264–271.
Hong, S. Y., and Kim, M. H., 2000, “Nonlinear Wave Forces on a Stationary Vertical Cylinder by HOBEM-NWT,” Intl. Conf. ISOPE’00, Seattle, WA, 3 , pp. 214–220.
Park,  J. C.Miyata,  H., 1994, “Numerical Simulation of the Nonlinear Free-Surface Flow Caused by Breaking Waves,” Free-Surface Turbulence, ASME FED, Vol. 181, pp. 155–168.
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Figures

Grahic Jump Location
Wave profiles at three different locations with (dashed line) and without (solid line) side-walls by NS-MAC NWT; T=2 s,H=0.2 m—top (6.2 m, 6 m) reflection-wall; middle (6.2 m, 3 m) centerline; bottom (6.2 m, 0.12 m) nonreflection-wall
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Comparison of wave profiles produced by fully nonlinear NS-MAC (solid line) and Q-BEM (dash line) NWTs; T=2 s,H=0.2 m—top (6.2 m, 6 m) reflection-wall; middle (6.2 m, 3 m) centerline; bottom (6.2 m, 0.12 m) nonreflection-wall
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Three-dimensional snapshots at t=10T for the nonlinear NS-MAC NWT with the transparent-wall (top), with the free-slip side-wall (middle), and the linear Q-BEM with the free-slip side-wall (bottom); T=2 s,H=0.2 m
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(a) Time sequence of wave generation and propagation with the transparent-wall by NS-MAC NWT; T=2 s,H=0.2 m; (b) time sequence of wave generation and propagation with the free-slip side-wall by NS-MAC NWT; T=2 s,H=0.2 m
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Simulation of multidirectional waves by nonlinear NS-MAC NWTs with side-wall—(T1=2.5 s,H1=0.05 m,θ1=−25 deg, ε1=0 deg), (T2=3.0 s, H2=0.15 m, θ2=10 deg, ε2=270 deg), (T3=3.5 s, H3=0.10 m, θ3=10 deg, ε3=315 deg), and (T4=4.0 s, H4=0.05 m, θ4=25 deg, ε4=90 deg)
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Simulation of multidirectional waves by nonlinear NS-MAC NWTs with transparent-wall
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Comparison of multidirectional waves generated by two different number of panels of wavemaker, 50 cells (top) and 16 cells (bottom), by nonlinear NS-MAC NWT with transparent wall at t=12 s
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Contour plots of bull-eye’s waves converging at (7.5, 9) in x-y-plane and 3-D views obtained, respectively, by methods 1 (top) and 2 (bottom)
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(a) NWTs phase difference function with 90 paddles; (b) OTRCs phase difference function with 48 paddles
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(a) Cross section of wave profile along y=0 (circle: OTRC experiment); (b) cross section of wave profile along x=0 (circle: OTRC experiment)
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Snapshot picture of the instantaneous bull’s-eye wave field in the OTRC basin
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Contour plots of diverging ring waves in x-y-plane view obtained by method II
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Comparison of wave profiles between the nonlinear NS-MAC (solid line) and linear Q-BEM (dash line) NWT simulations; T=2 s,H=0.2 m—top (6.2 m, 6 m) reflection wall; middle (6.2 m, 3 m) centerline; bottom (6.2 m, 0, 12 m) nonreflection-wall
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Comparison of wave profiles between the nonlinear NS-MAC NWT with transparent-wall (solid line) and experiments (dash line); T=2.5 s,H=0.2 m,θ=10 deg
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Simulations of bi-directional waves by linear solution (top) and fully nonlinear NS-MAC (bottom) NWT with transparent-wall; T=0.8 s,H=0.025 m,θ=10 and −10 deg

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