Skip to main content
Log in

Numerical simulation of fluid resonance in a moonpool by twin rectangular hulls with various configurations and heaving amplitudes

  • Published:
Journal of Ocean University of China Aims and scope Submit manuscript

Abstract

Fluid resonance in a moonpool formed by two identical rectangular hulls during in-phase heaving motion is investigated by employing a two-dimensional numerical wave flume based on OpenFOAM package with Re-Normalization Group (RNG) turbulent model. The focus of the study is to examine the influence of heaving frequency and amplitude with various moonpool configurations on fluid resonant behavior. It is found that the resonant frequency of wave response in moonpool tends to decrease with the increase of moonpool breadth and hulls draft. The decrease of resonant amplitude can be observed for large moonpool breadth. The influence of hulls draft on resonant amplitude is not remarkable, especially for large heaving amplitude. The increase in heaving amplitude results in the decrease of relative resonant amplitude in an approximate power function, implying a complicated dependence of the resonant amplitude on heaving amplitude. Flow patterns in the vicinity of the moonpool are also analyzed, mainly regarding the dependence on the heaving frequency. The negligible influence of vortices on the wave response in moonpool is expected for low-frequency excitation because it is hard to observe the vortex structures. Intensive vortical flow and vortex structure can be identified under resonant condition, which gives rise to significant dissipation and accounts for the smaller relative resonant amplitude in moonpool. As for high-frequency excitation, the vortex motion is rather weak and dissipates rapidly, leading to insignificant effect on wave response amplitude.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Ananthakrishnan, P., 2015. Viscosity and nonlinearity effects on the forces and waves generated by a floating twin hull under heave oscillation. Applied Ocean Research, 51: 138–152.

    Article  Google Scholar 

  • Chen, X.-B., 2004. Hydrodynamics in offshore and naval applications–part I. The 6th International Conference on Hydrodynamics (ICHD). Perth, Australia, 1–28.

  • Elie, B., Reliquet, G., Guillerm, P.-E., Thilleul, O., Ferrant, P., Gentaz, L., and Ledoux, A., 2013. Simulation of the gap resonance between two rectangular barges in regular waves by a free surface viscous flow solver. The 32nd International Conference on Ocean, Offshore and Arctic Engineering, American Society of Mechanical Engineers (OMAE). Nantes, France, V005T06A083-V005T06A083.

    Google Scholar 

  • Evans, D., and Porter, R., 1997. Trapped modes about multiple cylinders in a channel. Journal of Fluid Mechanics, 339: 331–356.

    Article  Google Scholar 

  • Faltinsen, O. M., Rognebakke, O. F., and Timokha, A. N., 2007. Two-dimensional resonant piston-like sloshing in a moonpool. Journal of Fluid Mechanics, 575: 359–397.

    Article  Google Scholar 

  • Faltinsen, O., and Timokha, A., 2015. On damping of two-dimensional piston-mode sloshing in a rectangular moonpool under forced heave motions. Journal of Fluid Mechanics, 772: R1.

    Article  Google Scholar 

  • Feng, X., and Bai, W., 2015. Wave resonances in a narrow gap between two barges using fully nonlinear numerical simulation. Applied Ocean Research, 50: 119–129.

    Article  Google Scholar 

  • Fournier, J. R., Naciri, M., and Chen, X. B., 2006. Hydrodynamics of two side-by-side vessels experiments and numerical simulations. The 16th International Offshore and Polar Engineering Conference (ISOPE). San Francisco, California, USA, 158–166.

    Google Scholar 

  • Fredriksen, A. G., Kristiansen, T., and Faltinsen, O. M., 2014. Experimental and numerical investigation of wave resonance in moonpools at low forward speed. Applied Ocean Research, 47: 28–46.

    Article  Google Scholar 

  • Hirt, C. W., and Nichols, B. D., 1981. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics, 39 (1): 201–225.

    Article  Google Scholar 

  • Issa, R. I., 1986. Solution of the implicitly discretised fluid flow equations by operator splitting. Journal of Computational Physics, 62 (1): 40–65.

    Article  Google Scholar 

  • Iwata, H., Saitoh, T., and Miao, G., 2007. Fluid resonance in narrow gaps of very large floating structure composed of rectangular modules. The 14th International Conference on Asian and Pacific Coasts. Nanjing, China, 815–826.

    Google Scholar 

  • 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.

  • Kristiansen, T., and Faltinsen, O. M., 2012. Gap resonance analyzed by a new domain-decomposition method combining potential and viscous flow draft. Applied Ocean Research, 34: 198–208.

    Article  Google Scholar 

  • Linton, C., and Evans, D., 1990. The interaction of waves with arrays of vertical circular cylinders. Journal of Fluid Mechanics, 215: 549–569.

    Article  Google Scholar 

  • Lu, L., and Chen, X., 2012. Dissipation in the gap resonance between two bodies. The 27th International Workshop on Water Waves and Floating Bodies. Copenhagen, Denmark, 22–25.

    Google Scholar 

  • Lu, L., Cheng, L., Teng, B., and Zhao, M., 2010. Numerical investigation of fluid resonance in two narrow gaps of three identical rectangular structures. Applied Ocean Research, 32 (2): 177–190.

    Article  Google Scholar 

  • Lu, L., Teng, B., Cheng, L., Sun, L., and Chen, X., 2011a. 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.

    Article  Google Scholar 

  • Lu, L., Teng, B., Sun, L., and Chen, B., 2011b. Modelling of multibodies in close proximity under water waves–fluid forces on floating bodies. Ocean Engineering, 38 (13): 1403–1416.

    Article  Google Scholar 

  • Maniar, H. D., and Newman, J., 1997. Wave diffraction by a long array of cylinders. Journal of Fluid Mechanics, 339: 309–330.

    Article  Google Scholar 

  • Molin, B., 2001. On the piston and sloshing modes in moonpools. Journal of Fluid Mechanics, 430: 27–50.

    Article  Google Scholar 

  • Molin, B., Remy, F., Camhi, A., and Ledoux, A., 2009. Experimental and numerical study of the gap resonances in-between two rectangular barges. Journal of Experimental Marine Biology & Ecology, 30 (50): 2521–3.

    Google Scholar 

  • Molin, B., Remy, F., Kimmoun, O., and Stassen, Y., 2002. Experimental study of the wave propagation and decay in a channel through a rigid ice-sheet. Applied Ocean Research, 24 (5): 247–260.

    Article  Google Scholar 

  • Newman, J., 2004. Progress in wave load computations on offshore structures. The 23th International Conference on Ocean, Offshore and Arctic Engineering, American Society of Mechanical Engineers (OMAE). Vancouver, Canada.

    Google Scholar 

  • Rusche, H., 2003. Computational fluid dynamics of dispersed two-phase flows at high phase fractions. PhD thesis. Imperial College London, University of London.

  • Saitoh, T., Miao, G., and Ishida, H., 2006. Theoretical analysis on appearance condition of fluid resonance in a narrow gap between two modules of very large floating structure. The 3rd Asia-Pacific Workshop on Marine Hydrodynamics. Beijing, 170–175.

    Google Scholar 

  • Sun, L., Eatock Taylor, R., and Taylor, P. H., 2010. First-and second-order analysis of resonant waves between adjacent barges. Journal of Fluids and Structures, 26 (6): 954–978.

    Article  Google Scholar 

  • Teng, B., and Taylor, R. E., 1995. New higher-order boundary element methods for wave diffraction/radiation. Applied Ocean Research, 17 (2): 71–77.

    Article  Google Scholar 

Download references

Acknowledgement

This work is supported by the Fundamental Research Funds for the Central Universities with Grant No. of DUT 16RC(3)063.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Peng Tang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, S., Tang, P., Zou, L. et al. Numerical simulation of fluid resonance in a moonpool by twin rectangular hulls with various configurations and heaving amplitudes. J. Ocean Univ. China 16, 422–436 (2017). https://doi.org/10.1007/s11802-017-3147-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11802-017-3147-5

Key words

Navigation