Abstract
The renormalization group (RNG) turbulent model is used to investigate the fluid resonance in a moonpool formed by two identical rectangular hulls under synchronous heaving excitation (e.g., a catamaran or dual pontoon). The numerical model is validated against the available experimental data, and accurate numerical solutions are obtained. The present study focuses on the amplitude of the moving hulls and the edge configuration of the moonpool entrance, as well as their influences on the piston-modal resonant wave in the moonpool. The dependence of the resonant wave amplitude in the moonpool on the heaving amplitude, the characteristic moonpool dimensions and the local velocity magnitude is derived based on a theoretical analysis, and the results are in good agreement with the RNG turbulent solutions. Five different edge profiles are considered, including two convex edges, two concave edges (both with various dimensions), and a sharp edge. Numerical examinations show that the edge configuration has a significant influence on the piston-modal resonant responses, a larger opening size leading to a higher resonant frequency and a larger resonant wave amplitude in the moonpool. Various flow patterns of the piston-modal resonance in the vicinity of the moonpool entrance are also identified, mainly depending on the edge profile. More intensive turbulent and vortical flows give rise to more significant dissipation, accounting for the smaller relative wave amplitude in the moonpool. With the increase of the heaving amplitude, the relative piston-modal resonant amplitude is decreased in an approximate power function. Within the scope of this work, the numerical investigations show that the piston-modal resonant frequency is hardly affected by the heaving amplitude.
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Saitoh T., Miao G. P., Ishida H. Theoretical analysis on appearance condition of fluid resonance in a narrow gap between two modules of very large floating structure [C]. Proceedings of the Third Asia-Pacific Workshop on Marine Hydrodynamics, Shanghai, China. 2006, 170–175.
Peric M., Swan C. An experimental study of the wave excitation in the gap between two closely spaced bodies, with implication for LNG offloading [J]. Applied Ocean Research, 2015, 51: 320–330.
Faltinsen O. M., Rognebakke O. F., Timokha A. N. Two-dimensional resonant piston-like sloshing in a moonpool [J]. Journal of Fluid Mechanics, 2007, 575, 359–397.
Sun L., Eatock Taylor R., Taylor P. H. Wave driven free surface in the gap between a tanker and an FLNG barge [J]. Applied Ocean Research, 2015, 51: 331–349.
Feng X., Bai W. Wave resonance in a narrow gap between two barges using fully nonlinear numerical simulation [J]. Applied Ocean Research, 2015, 50: 119–129.
Li Y., Zhang C. Analysis of wave resonance in gap between two heaving barges [J]. Ocean Engineering, 2016, 117: 210–220.
Lu L., Teng B., Cheng L. et al. Modelling of multi-bodies in close proximity under water waves - Fluid resonance in narrow gaps [J]. Science China Physics, Mechanics and Astronomy, 2011, 54(1): 16–25.
Lu L., Teng B., Sun L. et al. Modelling of multi-bodies in close proximity under water waves-Fluid forces on floating bodies [J]. Ocean Engineering, 2011, 38(13): 1403–1416.
Liu Y., Li H. J. A new semi-analytical solution for gap resonance between twin rectangular boxes [J]. Journal of Engineering for the Maritime Environment, 2014, 228(1): 3–16.
Lu L., Cheng L., Teng B. et al. Numerical simulation and comparison of potential flow and viscous fluid models in near trapping of narrow gaps [J]. Journal of Hydrodynamics, 2010, 22(5Suppl.): 120–125.
Li X., Xu L. Y., Yang J. M. Study of fluid resonance between two side-by-side floating barges [J]. Journal of Hydrodynamics, 2016, 28 (5): 767–777.
Gao J., Zang J., Chen L. et al. On hydrodynamic characteristics of gap resonance between two fixed bodies in close proximity [J]. Ocean Engineering, 2019, 173: 28–44.
Yang S. H., Kwon S. H. Experimental study on moonpool resonance of offshore floating structure [J]. International Journal of Naval Architecture and Ocean Engineering, 2013, 5(2): 313–323.
Zhao W., Wolgamot H. A. Taylor P. H. et al. Gap resonance and higher harmonics driven by focused transient wave groups [J]. Journal of Fluid Mechanics, 2017, 812: 905–939.
Zhu H. R., Zhu R. C., Miao G. P. A time domain investigation on the hydrodynamic resonance phenomena of 3-D multiple floating structures [J]. Journal of Hydrodynamics, 2008, 20(5): 611–616.
Elie B., Reliquet G., Guillerm P. E. et al. Simulation of the gap resonance between two rectangular barges in regular waves by a free surface viscous flow solver [C]. The 32nd International Conference on Ocean, Offshore and Arctic Engineering, Nantes, France, 2013.
Fredriksen A. G., Kristiansen T., Faltinsen O. M. Experimental and numerical investigation of wave resonance in moonpools at low forward speed [J]. Applied Ocean Research, 2014, 47: 28–46.
Kristiansen T. Faltinsen O. M. A two-dimensional numerical and experimental study of resonant coupled ship and piston-mode motion [J]. Applied Ocean Research, 2010, 32: 158–176.
Jiang S. C., Bai W., Tang G. Q. Numerical simulation of wave resonance in the narrow gap between two non-identical boxes [J]. Ocean Engineering, 2018, 156: 38–60.
Jiang S. C., Bai W., Cong P. W. et al. Numerical investigation of wave forces on two side-by-side nonidentical boxes in close proximity under wave actions [J]. Marine Structures. 2019, 63: 16–44.
Jiang S. C., Bai W., Tang G. A. Numerical investigation of piston-modal wave resonance in the narrow gap formed by a box in front of a wall [J]. Physics of Fluids, 2019, 31: 052105.
Tan L., Lu L., Tang G. Q. et al. A viscous damping model for piston mode resonance [J]. Journal of Fluid Mechanics, 2019, 871: 510–533.
Kristiansen T. Faltinsen O. M. Application of a vortex tracking method to the piston-like behavior in a semientrained vertical gap [J]. Applied Ocean Research, 2008, 30: 1–16.
Lu L., Cheng L., Teng B. et al. Numerical investigation of fluid resonance in two narrow gaps of three identical rectangular structures [J]. Applied Ocean Research, 2010, 32 (2): 177–190.
Moradi N., Zhou T., Cheng L. Effect of inlet configuration on wave resonance in the narrow gap of two fixed bodies in close proximity [J]. Ocean Engineering, 2015, 103: 88–102.
Moradi N., Zhou T., Cheng L. Two-dimensional numerical study on the effect of water depth on resonance behavior of the fluid trapped between two side-by side bodies [J]. Applied Ocean Research, 2016, 58: 218–231.
Acknowledgements
This work was supported by the Pre-research field Fund Project of the Central Military Commission of China (Grant No. 61402070201), the Fundamental Research Funds for the Central Universities (Grant No. DUT18LK09, DUT2017TB05). The authors gratefully acknowledge the Supercomputer Center of Dalian University of Technology for providing computing resources.
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Project supported by the National Natural Science Foundation of China (Grant Nos. 51490673, 51679035).
Biography: Sheng-chao Jiang (1984-), Male, Ph. D., Associate Professor
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Jiang, Sc., Cong, Pw., Sun, L. et al. Numerical investigation of edge configurations on piston-modal resonance in a moonpool induced by heaving excitations. J Hydrodyn 31, 682–699 (2019). https://doi.org/10.1007/s42241-018-0123-5
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DOI: https://doi.org/10.1007/s42241-018-0123-5