Abstract
Based on the highly accurate Boussinesq-type equations in terms of velocity potential, the shallow-water sloshing in a two-dimensional rectangular tank is studied. The rectangular tank in harmonic sway, heave and roll motions with small excitation amplitudes is considered. The total velocity potential is divided into two parts: the particular solution and the remaining part to be determined by the Boussinesq-type equations. The Stokes-Joukowski potential is adopted in the particular solution for the roll excitation motion. The comparisons of the numerical results indicate that the shallow-water sloshing motions in a rectangular tank can be predicted well based on the Boussinesq-type equations.
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References
Ibrahim R. A. Liquid sloshing dynamics: Theory and applications [M]. Cambridge, UK: Cambridge University Press, 2005.
Faltinsen O. M., Timokha A. N. Sloshing [M]. Cambridge, UK: Cambridge University Press, 2009.
Tissier M., Bonneton P., Marche F. et al. A new approach to handle wave breaking in fully non-linear Boussinesq models [J]. Coastal Engineering, 2012, 67: 54–66.
Gallerano F., Cannata G. and Lasaponara F. Numerical simulation of wave transformation, breaking and runup by a contravariant fully non-linear Boussinesq equations model [J]. Journal of Hydrodynamics, 2016, 28(3): 379–388.
Darvishi M. T., Najafi M., Wazwaz A. M. Soliton solutions for Boussinesq-like equations with spatio-temporal dispersion [J]. Ocean Engineering, 2017, 130: 228–240.
Hill D. F. Transient and steady-state amplitudes of forced waves in rectangular basins [J]. Physics of Fluids, 2003, 39(6): 1576–1587.
Antuono M., Bouscasse B., Colagrossi A. et al. Twodimensional modal method for shallow-water sloshing in rectangular basins [J]. Journal of Fluid Mechanics, 2012, 700: 419–440.
Jamois E., Fuhrman D. R., Bingham H. B. et al. Wavestructure interactions and nonlinear wave processes on the weather side of reflective structures [J]. Coastal Engineering, 2006, 53: 929–945.
Bingham H. B., Madsen P. A., Fuhrman D. R. Velocity potential formulations of highly accurate Boussinesq-type models [J]. Coastal Engineering, 2009, 56: 467–478.
Su Y., Liu Z. Y. Numerical model of sloshing in rectangular tank based on Boussinesq-type equations [J]. Ocean Engineering, 2016, 121: 166–173.
Su Y., Liu Z. Y. Coupling effects of barge motion and sloshing [J]. Ocean Engineering, 2017, 140: 352–360.
Molin B., Remy F., Rigaud S. et al. LNG-FPSO’s: Frequency domain, coupled analysis of support and liquid cargo motions [C]. Proceedings of 10th International Maritime Association of the Mediterranean Conference, Rethymnon, Greece, 2002.
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Project supported by the National Natural Science Foundation of China (Grant Nos. 51609187, 51609186 and 51609188), the Fundamental Research Funds for the Central Universities (Grant No. WUT: 2182017255).
Biography: Yan Su (1986-), Male, Ph. D., Lecturer
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Su, Y., Liu, Zy. & Gao, Zl. Shallow-water sloshing motions in rectangular tank in general motions based on Boussinesq-type equations. J Hydrodyn 30, 958–961 (2018). https://doi.org/10.1007/s42241-018-0098-2
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DOI: https://doi.org/10.1007/s42241-018-0098-2