Wave Resonance in the Narrow Gap between Two Boxes under Irregular Wave Actions
Publication: Journal of Engineering Mechanics
Volume 150, Issue 10
Abstract
Fluid resonance in the narrow gap formed by a two-box system under irregular wave actions is investigated by employing a viscous numerical wave flume based on the OpenFOAM package. The accuracy of the numerical model is validated by comparing it with previous experimental data and numerical results in the literature. It can be observed that the viscous fluid flow model can work well in predicting the free surface amplitudes around the resonant frequency, while the potential flow model overpredicts the resonant amplitude. Numerical simulations suggested that the periods of wave responses in the narrow gap are always around the resonant period with small standard deviations. This can be explained by the spectral analysis that the wave energy in the narrow gap is concentrated at the resonant frequency. The normalized wave amplitudes calculated from the samplings of the large free surface amplitudes are always smaller than the samplings of the small free surface amplitudes. With the increase of the peak enhancement factor, the normalized significant wave heights under irregular wave actions increase and decrease around resonant and nonresonant frequencies, respectively. Compared to the results under regular wave actions, smaller and larger wave amplitudes appeared in the results of irregular wave actions around the resonant and nonresonant frequency ranges, respectively. The decreased normalized wave amplitudes with the increase of incident irregular wave amplitudes can be observed at all the frequency ranges.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This work is supported by the National Natural Science Foundation of China with Grant Nos. 52371267, 52171250, and 51909027. The first author gratefully acknowledges the Supercomputer Center of Dalian University of Technology for providing computing resources.
References
Chen, X. 2004. “Hydrodynamics in offshore and naval applications–Part I.” In Proc., Keynote Lecture of 6th Int. Conf. HydroDynamics. London: Taylor & Francis.
Ding, Y., J. H. Walther, and Y. Shao. 2022. “Higher-order gap resonance between two identical fixed barges: A study on the effect of water depth.” Phys. Fluids 34 (5): 052113. https://doi.org/10.1063/5.0089564.
Engsig-Karup, A. 2006. “Unstructured Nodal DG-FEM Solution of High-order Boussinesq-type equations.” Ph.D. thesis, Dept. of Applied Mathematics and Computer Science, Technical Univ. of Denmark.
Faltinsen, O., O. Rognebakke, and A. Timokha. 2007. “Two-dimensional resonant piston-like sloshing in a moonpool.” J. Fluid Mech. 575 (Jun): 359–397. https://doi.org/10.1017/S002211200600440X.
Feng, X., and W. Bai. 2015. “Wave resonances in a narrow gap between two barges using fully nonlinear numerical simulation.” Appl. Ocean Res. 50 (Mar): 119–129. https://doi.org/10.1016/j.apor.2015.01.003.
Feng, X., W. Bai, X. Chen, L. Qian, and Z. Ma. 2017. “Numerical investigation of viscous effects on the gap resonance between side-by-side barges.” Ocean Eng. 145 (Nov): 44–58. https://doi.org/10.1016/j.oceaneng.2017.08.060.
Fredriksen, A., T. Kristiansen, and O. Faltinsen. 2014. “Experimental and numerical investigation of wave resonance in moonpools at low forward speed.” Appl. Ocean Res. 47 (Aug): 28–46. https://doi.org/10.1016/j.apor.2014.03.005.
Gao, J., Z. He, X. Huang, Q. Liu, J. Zang, and G. Wang. 2021. “Effects of free heave motion on wave resonance inside a narrow gap between two boxes under wave actions.” Ocean Eng. 224 (Mar): 108753. https://doi.org/10.1016/j.oceaneng.2021.108753.
Gao, J., Z. He, J. Zang, Q. Chen, H. Ding, and G. Wang. 2020. “Numerical investigations of wave loads on fixed box in front of vertical wall with a narrow gap under wave actions.” Ocean Eng. 206 (Jun): 107323. https://doi.org/10.1016/j.oceaneng.2020.107323.
Gao, J., C. Z. Mi, Z. Song, and Y. Liu. 2024. “Transient gap resonance between two closely-spaced boxes triggered by nonlinear focused wave groups.” Ocean Eng. 305 (Aug): 117938. https://doi.org/10.1016/j.oceaneng.2024.117938.
Hirt, C., and B. Nichols. 1981. “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys. 39 (1): 201–225. https://doi.org/10.1016/0021-9991(81)90145-5.
Issa, R. 1986. “Solution of the implicitly discretised fluid flow equations by operator-splitting.” J. Comput. Phys. 62 (1): 40–65. https://doi.org/10.1016/0021-9991(86)90099-9.
Jacobsen, N., D. Fuhrman, and J. Fredsøe. 2012. “A wave generation toolbox for the open-source CFD library: Openfoam®.” Int. J. Numer. Methods Fluids 70 (9): 1073–1088. https://doi.org/10.1002/fld.2726.
Jasak, H. 1996. “Error analysis and estimation for the finite volume method with applications to fluid flows.” Ph.D. thesis, Dept. of Mechanical Engineering, Imperial College London, Univ. of London.
Jiang, S., W. Bai, P. Cong, and B. Yan. 2019a. “Numerical investigation of wave forces on two side-by-side non-identical boxes in close proximity under wave actions.” Mar. Struct. 63 (Jan): 16–44. https://doi.org/10.1016/j.marstruc.2018.08.007.
Jiang, S., W. Bai, and G. Tang. 2018. “Numerical simulation of wave resonance in the narrow gap between two non-identical boxes.” Ocean Eng. 156 (May): 38–60. https://doi.org/10.1016/j.oceaneng.2018.02.055.
Jiang, S., W. Bai, and B. Yan. 2021a. “Higher-order harmonic induced wave resonance for two side-by-side boxes in close proximity.” Phys. Fluids 33 (10): 102113. https://doi.org/10.1063/5.0065407.
Jiang, S., Q. Gu, and P. Cong. 2021b. “Fluid resonance in the narrow gap of a box-wall system under cnoidal wave action.” Ocean Eng. 238 (Oct): 109774. https://doi.org/10.1016/j.oceaneng.2021.109774.
Jiang, S., Z. Sun, A. Feng, and G. Zhang. 2019b. “On hydrodynamic behavior of fluid resonance in moonpool and its suppression by using various convex appendages.” Ocean Eng. 192 (Nov): 106552. https://doi.org/10.1016/j.oceaneng.2019.106552.
Liu, Y., and H.-J. Li. 2014. “A new semi-analytical solution for gap resonance between twin rectangular boxes.” J. Eng. Mar. Environ. 228 (1): 3–16. https://doi.org/10.1177/1475090213482893.
Lu, L., L. Cheng, B. Teng, and M. Zhao. 2010. “Numerical investigation of fluid resonance in two narrow gaps of three identical rectangular structures.” Appl. Ocean Res. 32 (2): 177–190. https://doi.org/10.1016/j.apor.2009.10.003.
Lu, L., L. Tan, Z. Zhou, M. Zhao, and T. Ikoma. 2020. “Two-dimensional numerical study of gap resonance coupling with motions of floating body moored close to a bottom-mounted wall.” Phys. Fluids 32 (9): 092101. https://doi.org/10.1063/5.0017947.
Lu, L., B. Teng, L. Cheng, L. Sun, and X. Chen. 2011a. “Modelling of multi-bodies in close proximity under water waves-fluid resonance in narrow gaps, science China physics.” Mech. Astron. 38 (13): 16–25. https://doi.org/10.1016/j.oceaneng.2011.06.008.
Lu, L., B. Teng, L. Sun, and B. Chen. 2011b. “Modelling of multi-bodies in close proximity under water waves-fluid forces on floating bodies.” Ocean Eng. 38 (13): 1403–1416. https://doi.org/10.1016/j.oceaneng.2011.06.008.
Mayer, S., A. Garapon, and L. Sørensen. 1998. “A fractional step method for unsteady free-surface flow with applications to non-linear wave dynamics.” Int. J. Numer. Methods Fluids 28 (2): 293–315. https://doi.org/10.1002/(SICI)1097-0363(19980815)28:2%3C293::AID-FLD719%3E3.0.CO;2-1.
Molin, B., X. Zhang, H. Huang, and F. Remy. 2018. “On natural modes in moonpools and gaps in finite depth.” J. Fluid Mech. 840 (Jun): 530–554. https://doi.org/10.1017/jfm.2018.69.
Moradi, N., T. Zhou, and L. Cheng. 2015. “Effect of inlet configuration on wave resonance in the narrow gap of two fixed bodies in close proximity.” Ocean Eng. 103 (Jul): 88–102. https://doi.org/10.1016/j.oceaneng.2015.04.063.
Newman, J. 2004. “Progress in wave load computations on offshore structures.” In Proc., 23th OMAE Conf. New York: ASME.
Peric, M., and C. Swan. 2015. “An experimental study of the wave excitation in the gap between two closely spaced bodies, with implication for LNG offloading.” Appl. Ocean Res. 51 (Jun): 320–330. https://doi.org/10.1016/j.apor.2015.01.010.
Rusche, H. 2003. “Computational fluid dynamics of dispersed two-phase flows at high phase fractions.” Ph.D. thesis. Imperial College London, Univ. of London.
Saitoh, T., G. Miao, and H. Ishida. 2006. “Theoretical analysis on appearance condition of fluid resonance in a narrow gap between two modules of very large floating structure.” In Proc., 3rd Asia-Pacific Workshop on Marine Hydrodynamics, 170. Beijing: China Ocean Press.
Sun, L., R. Eatock Taylor, and P. Taylor. 2015. “Wave driven free surface motion in the gap between a tanker and an FLNG barge.” Appl. Ocean Res. 51 (Jun): 331–349. https://doi.org/10.1016/j.apor.2015.01.011.
Tan, L., L. Lu, G. Tang, L. Cheng, and X. Chen. 2019. “A viscous damping model for piston mode resonance.” J. Fluid Mech. 871 (Jul): 510–533. https://doi.org/10.1017/jfm.2019.302.
Yu, Y. 2003. Random wave and its application to engineering. 3rd ed. Dalian, China: Dalian Univ. of Technology Press.
Zhao, D., Z. Hu, and G. Chen. 2017a. “Experimental investigation on dynamic responses of FLNG connection system during side-by-side offloading operation.” Ocean Eng. 136 (May): 283–293. https://doi.org/10.1016/j.oceaneng.2017.03.034.
Zhao, W., H. Wolgamot, P. Taylor, and R. Eatock Taylor. 2017b. “Gap resonance and higher harmonics 167 driven by focused transient wave groups.” J. Fluid Mech. 812 (Feb): 905–939. https://doi.org/10.1017/jfm.2016.824.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 150 • Issue 10 • October 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Sep 27, 2023
Accepted: Apr 30, 2024
Published online: Jul 17, 2024
Published in print: Oct 1, 2024
Discussion open until: Dec 17, 2024
ASCE Technical Topics:
- Coasts, oceans, ports, and waterways engineering
- Continuum mechanics
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Flow (fluid dynamics)
- Fluid dynamics
- Fluid flow
- Fluid mechanics
- Free surfaces
- Frequency response
- Hydraulic engineering
- Hydrologic engineering
- Irregular waves
- Models (by type)
- Motion (dynamics)
- Natural frequency
- Numerical models
- Ocean engineering
- Oscillations
- Resonance
- Solid mechanics
- Water and water resources
- Water waves
- Wave action
- Waves (fluid mechanics)
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