Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-26T23:46:36.275Z Has data issue: false hasContentIssue false
  • English
  • Français

Resolving wave and laminar boundary layer scales for gap resonance problems

Published online by Cambridge University Press:  18 March 2019

H. Wang Open the ORCID record for H. Wang [Opens in a new window] ,
H. A. Wolgamot ,
S. Draper ,
W. Zhao Open the ORCID record for W. Zhao [Opens in a new window] ,
P. H. Taylor  and
L. Cheng
H. Wang*
Affiliation:
Faculty of Engineering and Mathematical Sciences, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia
H. A. Wolgamot
Affiliation:
Faculty of Engineering and Mathematical Sciences, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia
S. Draper
Affiliation:
Faculty of Engineering and Mathematical Sciences, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia
W. Zhao
Affiliation:
Faculty of Engineering and Mathematical Sciences, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia
P. H. Taylor
Affiliation:
Faculty of Engineering and Mathematical Sciences, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia
L. Cheng
Affiliation:
Faculty of Engineering and Mathematical Sciences, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Free surface oscillations in a narrow gap between elongated parallel bodies are studied numerically. As this represents both a highly resonant system and an arrangement of relevance to offshore operations, the nature of the damping is of primary interest, and has a critical role in determining the response. Previous experimental work has suggested that the damping could be attributed to laminar boundary layers; here our numerical wave tank successfully resolves both wave and boundary layer scales to provide strong numerical evidence in support of this conclusion. The simulations follow the experiments in using wave groups so that the computation is tractable, and both linear and second harmonic excitation of the gap are demonstrated.

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 866 , 10 May 2019 , pp. 759 - 775
Copyright
© 2019 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Buchner, B., Van Dijk, A. & De Wilde, J. 2001 Numerical multiple-body simulations of side-by-side mooring to an FPSO. In The 11th Intl Offshore Polar Engng Conf., ISOPE.Google Scholar
Chen, X. B. 2005 Hydrodynamic analysis for offshore LNG terminals. In Proceedings of the 2nd International Workshop on Applied Offshore Hydrodynamics, Rio de Janeiro.Google Scholar
Chua, K. H., de Mello, P., Malta, E., Vieira, D., Watai, R., Ruggeri, F., Eatock Taylor, R., Nishimoto, K. & Choo, Y. S. 2018 Irregular seas model experiments on side-by-side barges. In The 28th Intl Offshore Polar Engng Conf., ISOPE.Google Scholar
Faltinsen, O. M. & Timokha, A. N. 2009 Sloshing. Cambridge University Press.Google Scholar
Faltinsen, O. M. & Timokha, A. N. 2015 On damping of two-dimensional piston-mode sloshing in a rectangular moonpool under forced heave motions. J. Fluid Mech. 772, R1.Google Scholar
Feng, X. & Bai, W. 2015 Wave resonances in a narrow gap between two barges using fully nonlinear numerical simulation. Appl. Ocean Res. 50, 119–129.Google Scholar
Feng, X., Bai, W., Chen, X. B., Qian, L. & Ma, Z. H. 2017 Numerical investigation of viscous effects on the gap resonance between side-by-side barges. Ocean Engng 145, 44–58.Google Scholar
Fitzgerald, C. J., Taylor, P. H., Eatock Taylor, R., Grice, J. & Zang, J. 2014 Phase manipulation and the harmonic components of ringing forces on a surface-piercing column. Proc. R. Soc. Lond. A 470 (2168), 20130847.Google Scholar
Fredriksen, A. G., Kristiansen, T. & Faltinsen, O. M. 2015 Wave-induced response of a floating two-dimensional body with a moonpool. Phil. Trans. R. Soc. Lond. A 373 (2033), 20140109.Google Scholar
Jacobsen, N. G., Fuhrman, D. R. & Fredsøe, J. 2012 A wave generation toolbox for the open-source CFD library: OpenFoam® . Intl J. Numer. Meth. Fluids 70 (9), 1073–1088.Google Scholar
Jensen, B. L., Sumer, B. M. & Fredsøe, J. 1989 Turbulent oscillatory boundary layers at high Reynolds numbers. J. Fluid Mech. 206, 265–297.Google Scholar
Kristiansen, T. & Faltinsen, O. M. 2012 Gap resonance analyzed by a new domain-decomposition method combining potential and viscous flow draft. Appl. Ocean Res. 34, 198–208.Google Scholar
Kumaresan, R. & Tufts, D. W. 1982 Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise. IEEE Trans. Acoust. Speech Signal Process. 30 (6), 833–840.Google Scholar
Meylan, M. H. & Eatock Taylor, R. 2009 Time-dependent water-wave scattering by arrays of cylinders and the approximation of near trapping. J. Fluid Mech. 631, 103–125.Google Scholar
Molin, B. 2001 On the piston and sloshing modes in moonpools. J. Fluid Mech. 430, 27–50.Google Scholar
Molin, B., Remy, F., Camhi, A. & Ledoux, A. 2009 Experimental and numerical study of the gap resonances in-between two rectangular barges. In 13th Congress of the International Maritime Association of the Mediterranean, Istanbul, Turkey. IMAM.Google Scholar
Molin, B., Remy, F., Kimmoun, O. & Stassen, Y. 2002 Experimental study of the wave propagation and decay in a channel through a rigid ice-sheet. Appl. Ocean Res. 24 (5), 247–260.Google Scholar
Molin, B., Zhang, X., Huang, H. & Remy, F. 2018 On natural modes in moonpools and gaps in finite depth. J. Fluid Mech. 840, 530–554.Google Scholar
Paulsen, B. T., Bredmose, H., Bingham, H. B. & Jacobsen, N. G. 2014 Forcing of a bottom-mounted circular cylinder by steep regular water waves at finite depth. J. Fluid Mech. 755, 1–34.Google Scholar
Perić, M. & Swan, C. 2015 An experimental study of the wave excitation in the gap between two closely spaced bodies, with implications for LNG offloading. Appl. Ocean Res. 51, 320–330.Google Scholar
Sumer, B. M. & Fredsøe, J. 2006 Hydrodynamics Around Cylindrical Strucures. World Scientific.Google Scholar
Sun, L., Eatock Taylor, R. & Taylor, P. H. 2010 First-and second-order analysis of resonant waves between adjacent barges. J. Fluids Struct. 26 (6), 954–978.Google Scholar
Tan, L., Lu, L., Tang, G. Q., Cheng, L. & Chen, X. B. 2017 An energy dissipation model for wave resonance problems in narrow gaps formed by floating structures. In 32nd Intl Workshop on Water Waves and Floating Bodies, Dalian, China.Google Scholar
Wang, H., Draper, S., Zhao, W., Wolgamot, H. A. & Cheng, L. 2018 Development of a computational fluid dynamics model to simulate three-dimensional gap resonance driven by surface waves. J. Offshore Mech. Arctic Engng 140 (6), 061803.Google Scholar
Whitham, G. B. 1963 The Navier–Stokes equations of motion. In Laminar Boundary Layers (ed. Rosenhead, L.). Clarendon Press.Google Scholar
Zhao, W., Wolgamot, H. A., Taylor, P. H. & Eatock Taylor, R. 2017 Gap resonance and higher harmonics driven by focused transient wave groups. J. Fluid Mech. 812, 905–939.Google Scholar

Wang et al. supplementary movie

Movie 1 (for mesh A3) shows the numerically computed free surface elevation around the boxes during passage of the incident transient wave group for Case A (in the region 2.5 m < x < 8.5 m, -4.0 m < y < 0 m, which is not the full extent of the NWT). Note that the vertical axis is stretched, such that 1 unit in the vertical = 5 units in the horizontal, to more clearly show the free surface motions. To this end, the boxes are shown as transparent.

Download Wang et al. supplementary movie(Video)
Video 9.3 MB