Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-28T19:22:33.588Z Has data issue: false hasContentIssue false

Extreme runup events around a ship-shaped floating production, storage and offloading vessel in transient wave groups

Published online by Cambridge University Press:  29 January 2021

L.F. Chen*
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian116024, PR China Oceans Graduate School, Faculty of Engineering and Mathematical Sciences, University of Western Australia, Crawley, WA6009, Australia
P.H. Taylor
Affiliation:
Oceans Graduate School, Faculty of Engineering and Mathematical Sciences, University of Western Australia, Crawley, WA6009, Australia
D.Z. Ning*
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian116024, PR China
P.W. Cong
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian116024, PR China
H. Wolgamot
Affiliation:
Oceans Graduate School, Faculty of Engineering and Mathematical Sciences, University of Western Australia, Crawley, WA6009, Australia
S. Draper
Affiliation:
Oceans Graduate School, Faculty of Engineering and Mathematical Sciences, University of Western Australia, Crawley, WA6009, Australia
L. Cheng
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian116024, PR China Oceans Graduate School, Faculty of Engineering and Mathematical Sciences, University of Western Australia, Crawley, WA6009, Australia
*
Email addresses for correspondence: [email protected], [email protected], [email protected]
Email addresses for correspondence: [email protected], [email protected], [email protected]

Abstract

Extreme wave runup around a simplified representative floating production, storage and offloading vessel hull with a vertical bow is studied using computational fluid dynamics, complemented by experimental and diffraction analysis. This is a highly nonlinear system involving large vessel motions and extreme surface waves, and the behaviour is important for offshore design and operations. A separation method based on phase manipulation is carried out to facilitate the extraction of harmonics associated with the Stokes expansion of nonlinear waves. The separation method is applied to numerical and experimental data, and found to work well even for a highly nonlinear wave field scattered from a freely floating ship-shaped body. It is found that both low- and high-frequency second harmonic components can lead to wave runup at significantly higher levels than predicted by a linear analysis, while the vessel motions are very close to linear. The nonlinearity in the local wave field rather than vessel motion is key for the excitation of nonlinear extreme runup.

Type
JFM Papers
Copyright
© The Author(s), 2021. Published by 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

REFERENCES

Bai, W. & Eatock Taylor, R. 2007 Numerical simulation of fully nonlinear regular and focused wave diffraction around a vertical cylinder using domain decomposition. Appl. Ocean Res. 29 (1–2), 5571.CrossRefGoogle Scholar
Buchner, B. 2002 Green water on ship-type offshore structures. PhD thesis, Delft University of Technology, Delft. Available at: https://www.marin.nl/publication/green-water-on-ship-type-offshore-structures.Google Scholar
Chen, L.F., Stagonas, D., Santo, H., Buldakov, E.V., Simons, R.R., Taylor, P.H. & Zang, J. 2019 a Numerical modelling of interactions of waves and sheared currents with a surface piercing vertical cylinder. Coast. Engng 145, 6583.CrossRefGoogle Scholar
Chen, L.F., Taylor, P.H., Draper, S. & Wolgamot, H. 2019 b 3-D numerical modelling of greenwater loading on fixed ship-shaped FPSOs. J. Fluids Struct. 84, 283301.CrossRefGoogle Scholar
Chen, L.F., Taylor, P.H., Draper, S., Wolgamot, H., Milne, I.A. & Whelan, J.R. 2019 c Response based design metocean conditions for a permanently moored FPSO during tropical cyclones: estimation of greenwater risk. Appl. Ocean Res. 89, 115127.CrossRefGoogle Scholar
Chen, L.F., Zang, J., Hillis, A.J., Morgan, G.C.J. & Plummer, A.R. 2014 Numerical investigation of wave-structure interaction using OpenFOAM. Ocean Engng 88, 91109.CrossRefGoogle Scholar
Chen, L.F., Zang, J., Taylor, P.H., Sun, L., Morgan, G.C.J., Grice, J., Orszaghova, J. & M Tello, R. 2018 An experimental decomposition of nonlinear forces on a surface-piercing column: Stokes-type expansions of the force harmonics. J. Fluid Mech. 848, 4277.CrossRefGoogle Scholar
Eatock Taylor, R. & Huang, J.B. 1997 Semi-analytical formulation for second-order diffraction by a vertical cylinder in bichromatic waves. J. Fluids Struct. 11 (5), 465484.CrossRefGoogle Scholar
Faltinsen, O.M., Newman, J.N. & Vinje, T. 1995 Nonlinear wave loads on a slender vertical cylinder. J. Fluid Mech. 289, 179198.CrossRefGoogle Scholar
Faltinsen, O.M. & Timokha, A.N. 2009 Sloshing. Cambridge University Press.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. A 470 (2168), 20130847.CrossRefGoogle Scholar
HSE 2005 Findings of an expert panel engaged to conduct a scoping study on survival design of floating production storage and offloading vessels against extreme metocean conditions. Tech. Rep. 357. Health and Safety Executive.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), 10731088.CrossRefGoogle Scholar
Jensen, B.L., Sumer, B.M. & Fredsøe, J. 1989 Turbulent oscillatory boundary layers at high Reynolds numbers. J. Fluid Mech. 206, 265297.CrossRefGoogle Scholar
Jian, W., Cao, D., Lo, E.Y., Huang, Z., Chen, X., Cheng, Z., Gu, H. & Li, B. 2017 Wave runup on a surging vertical cylinder in regular waves. Appl. Ocean Res. 63, 229241.CrossRefGoogle Scholar
Kim, M. & Yue, D.K.P. 1990 The complete second-order diffraction solution for an axisymmetric body. Part 2. Bichromatic incident waves and body motions. J. Fluid Mech. 211, 557593.CrossRefGoogle Scholar
Mai, T., Greaves, D., Raby, A. & Taylor, P.H. 2016 Physical modelling of wave scattering around fixed FPSO-shaped bodies. Appl. Ocean Res. 61, 115129.CrossRefGoogle Scholar
Molin, B., et al. 1995 Third-harmonic wave diffraction by a vertical cylinder. J. Fluid Mech. 302, 203229.Google Scholar
Orszaghova, J., Taylor, P.H., Wolgamot, H., Madsen, F.J., Pegalajar-Jurado, A., Bredmose, H. 2020 Second and third order sub-harmonic wave responses of a floating wind turbine. In 35th International Workshop on Water Waves and Floating Bodies. Available at: https://mhl.snu.ac.kr/iwwwfb35/documents/abstracts/accepted/IWWWFB35-32.pdfs.Google Scholar
Riise, B.H., Grue, J., Jensen, A. & Johannessen, T.B. 2018 a High frequency resonant response of a monopile in irregular deep water waves. J. Fluid Mech. 853, 564586.CrossRefGoogle Scholar
Riise, B.H., Grue, J., Jensen, A. & Johannessen, T.B. 2018 b A note on the secondary load cycle for a monopile in irregular deep water waves. J. Fluid Mech. 849, R1.CrossRefGoogle Scholar
Ruggeri, F., Watai, R.A., de Mello, P.C., Sampaio, C.M.P., Simos, A.N. & e Silva, D.F.D.C. 2015 Fundamental green water study for head, beam and quartering seas for a simplified FPSO geosim using a mixed experimental and numerical approach. Mar. Syst. Ocean Technol. 10 (2), 7190.CrossRefGoogle Scholar
Schiller, R.V., Pâkozdi, C., Stansberg, C.T., Yuba, D.G.T. & e Silva, D.F.D.C. 2014 Green water on FPSO predicted by a practical engineering method and validated against model test data for irregular waves. In Proceedings of the ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. Volume 8B: Ocean Engineering, San Francisco, California, USA, June 8–13, 2014. V08BT06A029. American Society of Mechanical Engineers.CrossRefGoogle Scholar
Sheikh, R. & Swan, C. 2005 The interaction between steep waves and a vertical, surface-piercing column. Trans. ASME J. Offshore Mech. Arctic Engng 127 (1), 3138.CrossRefGoogle Scholar
Stansberg, C.T. & Berget, K. 2009 Simple tool for prediction of green water and bow flare slamming on FPSO. In Proceedings of the ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. Volume 6: Materials Technology; C.C. Mei Symposium on Wave Mechanics and Hydrodynamics; Offshore Measurement and Data Interpretation, Honolulu, Hawaii, USA, May 31–June 5. pp. 441–450. American Society of Mechanical Engineers.CrossRefGoogle Scholar
Stansberg, C.T., Berget, K., Hellan, O., Hermundstad, O.A., Hoff, J.R., Kristiansen, T. & Hansen, E.W.M. 2004 Prediction of green sea loads on FPSO in random seas. In The Fourteenth International Offshore and Polar Engineering Conference. International Society of Offshore and Polar Engineers, Paper ID: ISOPE-I-04-121.Google Scholar
Stansberg, C.T. & Karlsen, S.I. 2001 Green sea and water impact on FPSO in steep random waves. In Practical Design of Ships and Other Floating Structures (ed. Y.-S. Wu, W.-C. Cui & G.-J. Zhou) pp. 593–601. Elsevier Science Ltd.CrossRefGoogle Scholar
Swan, C. & Sheikh, R. 2015 The interaction between steep waves and a surface-piercing column. Phil. Trans. R. Soc. A 373 (2033), 20140114.CrossRefGoogle Scholar
Teng, B. & Eatock Taylor, R. 1995 New higher-order boundary element methods for wave diffraction/radiation. Appl. Ocean Res. 17 (2), 7177.CrossRefGoogle Scholar
Zang, J., Gibson, R., Taylor, P.H., Eatock Taylor, R. & Swan, C. 2006 Second order wave diffraction around a fixed ship-shaped body in unidirectional steep waves. Trans. ASME J. Offshore Mech. Arctic Engng 128 (2), 8999.CrossRefGoogle 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, 905939.CrossRefGoogle Scholar

Chen et al. supplementary movie 1

Movie 1: The full interaction of the head-on wave group with the fixed FPSO in terms of low-frequency 2nd harmonic component. The magnitudes are scaled up by 10 to improve visibility, and the same scale as in Movie 2 (i.e. linear component) is used for the non-dimensionalization to keep consistency.

Download Chen et al. supplementary movie 1(Video)
Video 27.6 MB

Chen et al. supplementary movie 2

Movie 2: The full interaction of the head-on wave group with the fixed FPSO in terms of linear (1st harmonic) component. The magnitudes are non-dimensional by dividing by $A$.

Download Chen et al. supplementary movie 2(Video)
Video 44.9 MB

Chen et al. supplementary movie 3

Movie 3: The full interaction of the head-on wave group with the fixed FPSO in terms of high-frequency 2nd harmonic component. The magnitudes are scaled up by 10 to improve visibility, and the same scale as in Movie 2 (i.e. linear component) is used for the non-dimensionalization to keep consistency.

Download Chen et al. supplementary movie 3(Video)
Video 49.2 MB

Chen et al. supplementary movie 4

Movie 4: The full interaction of the head-on wave group with the fixed FPSO in terms of 3rd harmonic component. The magnitudes are scaled up by 30 to improve visibility, and the same scale as in Movie 2 (i.e. linear component) is used for the non-dimensionalization to keep consistency.

Download Chen et al. supplementary movie 4(Video)
Video 43 MB

Chen et al. supplementary movie 5

Movie 5: The full interaction of the head-on wave group with the fixed FPSO in terms of 4th harmonic component. The magnitudes are scaled up by 50 to improve visibility, and the same scale as in Movie 2 (i.e. linear component) is used for the non-dimensionalization to keep consistency.

Download Chen et al. supplementary movie 5(Video)
Video 39.7 MB

Chen et al. supplementary movie 6

Movie 6: Same as Movie 1 but for a fixed FPSO with incoming wave incident from 30 degrees.

Download Chen et al. supplementary movie 6(Video)
Video 28.8 MB

Chen et al. supplementary movie 7

Movie 7: Same as Movie 2 but for a fixed FPSO with incoming wave incident from 30 degrees.

Download Chen et al. supplementary movie 7(Video)
Video 44.7 MB

Chen et al. supplementary movie 8

Movie 8: Same as Movie 3 but for a fixed FPSO with incoming wave incident from 30 degrees.

Download Chen et al. supplementary movie 8(Video)
Video 49 MB

Chen et al. supplementary movie 9

Movie 9: Same as Movie 4 but for a fixed FPSO with incoming wave incident from 30 degrees.

Download Chen et al. supplementary movie 9(Video)
Video 42.4 MB

Chen et al. supplementary movie 10

Movie 10: Same as Movie 5 but for a fixed FPSO with incoming wave incident from 30 degrees.

Download Chen et al. supplementary movie 10(Video)
Video 35.1 MB