Wave Resonance Between Multiple Side-by-Side Boxes Under Wave Action

  • H. Liu
  • S.-C JiangEmail author
Conference paper


Three types of numerical models are employed in this work, including the conventional flow model, the viscous flow model and the modified potential flow model with damping coefficient, to investigate the gap resonance phenomena. Numerical simulations show that the conventional flow model over-predicts the wave amplitude around the resonant frequency; while the viscous flow model can agree well with experimental results. Moreover, the modified potential flow model with appropriate damping coefficient is validated that it can also obtain accurate results by comparing with experimental results and viscous results. For the purpose of accuracy and high efficiency, the modified potential flow model with damping coefficient is further used to investigate the gap resonance phenomena in four- and five-box systems. Numerical results show that the number of resonant frequencies increase with the increase of the boxes number, generally. Besides, resonant phenomena can only be observed at low-order resonant frequencies, the phenomena at highest-order resonant frequency always disappear.


resonance resonant frequencies viscous flow model modified potential flow model damping coefficient 


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  1. Engsig-Karup, A.P., 2006. Unstructured Nodal DG-FEM Solution of High-order Boussinesq-type Equations. PhD thesis. Technical University of Denmark.Google Scholar
  2. Fuhrman, D.R., Madsen, P.A., Bingham, H.B., 2006. Numerical simulation of lowest-order short-crested wave instabilities. Journal of Fluid Mechanics. 563, 415-441.CrossRefGoogle Scholar
  3. Gao, J., Zhang, J., Chen, L., Chen, Q., Ding, H., Liu, Y., 2019. On hydrodynamic characteristics of gap resonance between two fixed bodies in close proximity. Ocean Engineering. 173, 28-44.CrossRefGoogle Scholar
  4. Issa, R.I., 1986. Solution of the implicitly discretised fluid flow equations by operatorsplitting. Journal of Computer Physics. 62 (1), 40-65.CrossRefGoogle Scholar
  5. Iwata, H., Saitoh, T., Miao, G., 2007. Fluid resonance in narrow gaps of very large floating structure composed of rectangular modules. In: Proceedings of the Fourth International Conference on Asian and Pacific Coasts, Nanjing, China, 815-826.Google Scholar
  6. Jacobsen, N.G., Fuhrman, D.R., Fredsøe, J., 2012. A wave generation toolbox for the open-source cfd library: Openfoam®. International Journal for Numerical Methods in Fluids. 70 (9), 1073-1088.CrossRefGoogle Scholar
  7. Jasak, H., 1996. Error Analysis and Estimation for the Finite Volume Method with Applications to Fluid Flows. PhD thesis. Imperial College London (University of London).Google Scholar
  8. Jiang, S., Bai, W., Cong, P., Yan, B., 2019. Numerical investigation of wave forces on two side-by-side non-identical boxes in close proximity under wave actions. Marine Structures. 63, 16-44.CrossRefGoogle Scholar
  9. Jiang, S., Bai, W., Tang, G., 2018. Numerical simulation of wave resonance in the narrow gap between two non-identical boxes. Ocean Engineering. 156, 38-60.CrossRefGoogle Scholar
  10. Lu, L., Cheng, L., Teng, B., Sun, L., 2010. Numerical simulation and comparison of potential flow and viscous fluid models in near trapping of narrow gaps. In: 9th International Conference on Hydrodynamics, Shanghai, China, 120-125.CrossRefGoogle Scholar
  11. Lu, L., Cheng, L., Teng, B., Zhao, M., 2010. Numerical investigation of fluid resonance in two narrow gaps of three identical rectangular structures. Applied Ocean Research. 32 (2), 177–190.CrossRefGoogle Scholar
  12. Lu, L., Teng, B., Cheng, L., Sun, L., Chen, X., 2011. Modelling of multi-bodies in close proximity under water waves-Fluid resonance in narrow gaps. Science China Physics, Mechanics and Astronomy. 54 (1), 16-25.Google Scholar
  13. Lu, L., Teng, B., Sun, L., Chen, B., 2011. Modelling of multi-bodies in close proximity under water waves-Fluid forces on floating bodies. Ocean Engineering. 38 (13), 1403-1416.CrossRefGoogle Scholar
  14. Miao, G., Saitoh, T., Ishida, H., 2001. Water wave interaction of twin large scale caissons with a small gap between. Coastal Engineering Journal. 43 (1), 39-58.CrossRefGoogle Scholar
  15. Moradi, N., Numerical simulation of fluid resonance in the narrow gap of twin bodies in close proximity. PhD thesis, The University of Western Australia, Perth(Australia), 2015.Google Scholar
  16. Moradi, N., Zhou, T., Cheng,L., 2015. Effect of inlet configuration on wave resonance in the narrow gap of two fixed bodies in close proximity. Ocean Engineering. 103, 88-102.CrossRefGoogle Scholar
  17. Moradi, N., Zhout, T., Cheng, L., 2016. Two-dimensional numerical simulation study on the effect of water depth on resonance behaviour of the fluid trapped between two side-by-side bodies. Applied Ocean Research. 58, 218-231.CrossRefGoogle Scholar
  18. Ning, D., Su, X., Zhao, M., Teng, B., 2015. Numerical study of resonance induced by wave action on multiple rectangular boxes with narrow gaps. Acta Oceanologica Sinica. 34 (5), 92-102.CrossRefGoogle Scholar
  19. Rusche, H., 2003. Computational Fluid Dynamics of Dispersed Two-phase Flows at High Phase Fractions. PhD thesis. Imperial College London (University of London).Google Scholar
  20. Saitoh, T., Miao, G., Ishida, H., 2006, Theoretical Analysis on Appearance Condition of Fluid Resonance in a Narrow Gap between Two Modules of Very Large Floating Structure. In: Proceedings of the Third Asia-Pacific Workshop on Marine Hydrodynamics, Shanghai, China, 170-175.Google Scholar

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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.State Key Laboratory of Coastal and Offshore EngineeringDalian University of TechnologyDalianChina
  2. 2.School of Naval Architecture, State Key Laboratory of Structural Analysis for Industrial EquipmentDalian University of TechnologyDalianChina

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