Faraday M. On the forms and states assumed by fluids in contact with vibrating elastic surfaces [J]. Philosophical Transactions, 1831, 121(52): 319–340.
Benjamin T. B., Ursell F. J. The stability of the plane free surface of a liquid in vertical periodic motion [J]. Proceedings of the Royal Society of London, 1954, 225(1163): 505–515.
Frandsen J. B. Sloshing motions in excited tanks [J]. Journal of Computational Physics, 2004, 196(1): 53–87.
Frandsen J. B., Peng W. Experimental sloshing studies in sway and heave base excited square tanks [C]. Sixth International Conference on Civil Engineering in the Oceans, Baltimore, USA, 2006, 504–512.
Zhuang Y., Wan D. Numerical study on ship motion fully coupled with LNG tank sloshing in CFD Method [J]. International Journal of Computational Methods, 2019, 16(6): 1840022.
Jin X., Xue M. A., Lin P. Experimental and numerical study of nonlinear modal characteristics of Faraday waves [J]. Ocean Engineering, 2021, 221: 108554.
Liu D., Lin P., Xue M. A. et al. Numerical simulation of two-layered liquid sloshing in tanks under horizontal excitations [J]. Ocean Engineering, 2021, 224: 108768.
Koshizuka S., Oka Y. Moving-particle semi-implicit method for fragmentation of incompressible fluid [J]. Nuclear Science and Engineering, 1996, 123(3): 421–434.
Tang Z., Zhang Y., Wan D. Multi-resolution MPS method for free surface flows [J]. International Journal of Computational Methods, 2016, 13(4): 1641018.
Chen X., Wan D. GPU accelerated MPS method for large-scale 3-D violent free surface flows [J]. Ocean Engineering, 2019, 171: 677–694.
Tang Z., Wan D., Chen G. et al. Numerical simulation of 3D violent free-surface flows by multi-resolution MPS method [J]. Journal of Ocean Engineering and Marine Energy, 2016, 2(3): 355–364.
Zhang Y. X., Wan D. C., Hino T. Comparative study of MPS method and level-set method for sloshing flows [J]. Journal of Hydrodynamics, 2014, 26(4): 577–585.
Xie F. Z., Zhao W. W., Wan D. C. CFD simulations of three-dimensional violent sloshing flows in tanks based on MPS and GPU [J]. Journal of Hydrodynamics, 2020, 32(5): 672–683.
Shibata K., Koshizuka S., Sakai M. et al. Lagrangian simulations of ship wave interactions in rough seas [J]. Ocean Engineering, 2012, 42: 13–25.
Wen X., Wan D. Numerical simulation of three-layer-liquid sloshing by multiphase MPS method [C]. Proceedings of the ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering, (OMAE2018), Madrid, Spain, 2018.
Wen X., Zhao W., Wan D. An improved moving particle semi-implicit method for interfacial flows [J]. Applied Ocean Research, 2021, 117: 102963.
Wen X., Zhao W. W., Wan D. C. A multiphase MPS method for bubbly flows with complex interfaces [J]. Ocean Engineering, 2021, 238: 109743.
Chen X., Zhang Y., Wan D. Numerical study of 3-D liquid sloshing in an elastic tank by MPS-FEM coupled method [J]. Journal of Ship Research, 2019, 63(3): 143–153.
Zhang G., Chen X., Wan D. MPS-FEM coupled method for study of wave-structure interaction [J]. Journal of Marine Science and Application, 2019, 18(4): 387–399.
Khayyer A., Gotoh H., Falahaty H. et al. Towards development of a reliable fully-Lagrangian MPS-based FSI solver for simulation of 2D hydroelastic slamming [J]. Ocean Systems Engineering, 2017, 7(3): 299–318.
Zhang G., Zhao W., Wan D. Partitioned MPS-FEM method for free-surface flows interacting with deformable structures [J]. Applied Ocean Research, 2021, 114: 102775.
Xie F., Zhao W., Wan D. MPS-DEM coupling method for interaction between fluid and thin elastic structures [J]. Ocean Engineering, 2021, 236: 109449.
Brackbill J. U., Kothe D. B., Zemach C. A continuum method for modeling surface tension [J]. Journal of Computational Physics, 1992, 100(2): 335–354.
Alam A., Kai H., Suzuki K. Two-dimensional numerical simulation of water splash phenomena with and without surface tension [J]. Journal of Marine Science and Technology, 2007, 12(2): 59–71.
Khayyer A., Gotoh H., Tsuruta N. A new surface tension model for particle methods with enhanced splash computation [J]. Journal of Japan Society of Civil Engineers, Ser. B2 (Coastal Engineering), 2014, 70(2): 26–30.
Chen X., Xi G., Sun Z. G. Improving stability of MPS method by a computational scheme based on conceptual particles [J]. Computer Methods in Applied Mechanics and Engineering, 2014, 278(1): 254–271.
Shibata K., Masaie I., Kondo M. et al. Improved pressure calculation for the moving particle semi-implicit method [J]. Computational Particle Mechanics, 2015, 2(1): 91–108.
Zhu Y., Jiang S. Y., Yang X. T. et al. Study on pressure oscillation in particle method [J]. Chinese Journal of Computational Mechanics, 2018, 035(005): 574–581(in Chinese).
Tanaka M., Masunaga T. Stabilization and smoothing of pressure in MPS method by quasi-compressibility [J]. Journal of Computational Physics, 2010, 229(11): 4279–4290.
Lee B. H., Park J. C., Kim M. H. et al. Step-by-step improvement of mps method in simulating violent free-surface motions and impact-loads [J]. Computer Methods in Applied Mechanics and Engineering, 2011, 200(9–12): 1113–1125.
Khayyer A., Gotoh H., Shao S. D. Enhanced predictions of wave impact pressure by improved incompressible SPH methods [J]. Applied Ocean Research, 2009, 31(2): 111–131.
Duan G., Koshizuka S., Chen B. A contoured continuum surface force model for particle methods [J]. Journal of Computational Physics, 2015, 298: 280–304.
Wen X., Zhao W. W., Wan D. C. Numerical simulations of multi-layer-liquid sloshing by multiphase MPS method [J]. Journal of Hydrodynamics, 2021, 33(5): 938–949.
Lei J., Perlin M., Schultz W. W. Period tripling and energy dissipation of breaking standing waves [J]. Journal of Fluid Mechanics, 1998, 369: 273–299.