[1]. Gingold RA, Monaghan JJ. Smoothed particle hydrodynamics: theory and application to non spherical stars. Mon. Not. R. Astron. Soc. 1977;181: 375–385.
[2]. Shao SD, Lo EYM. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Advances in Water Resources.2003; 26 (7): 787-800.
[3]. Ataie-Ashtiani B, Shobeyri G. Numerical simulation of landslide impulsive waves by incompressible smoothed particle hydrodynamics. International Journal for Numerical Methods in Fluids. 2008; 56 (2): 209-232.
[4]. Barreiro A, Crespo AJC, Domínguez JM, Gómez-Gesteira M. Smoothed Particle Hydrodynamics for coastal engineering problems. Computers & Structures. 2013; 120: 96-106.
[5]. Meringolo DD, Aristodemo F, Veltri P. SPH numerical modeling of wave–perforated breakwater interaction.Coastal Engineering. 2015; 101: 48-68.
[6]. Padova DD, Mossa M, Sibilla S. SPH Modelling of Hydraulic Jump Oscillations at an Abrupt Drop. Water.2017; 9: 790.
[7]. Li D, Zhen Z, Zhang H, Li Y, Tang X. Numerical model of oil film diffusion in water based on SPH method. Mathematical Problems in Engineering. 2019; (1): 8250539.
[8]. Islam MR, Rahman MA, Hayano K. Application of smoothed particle hydrodynamics (SPH) for simulating various geotechnical problems. SN Applied Sciences. 2020; 2(4): 687.
[9]. Guo C, Zhang H, Qian Z, Liu M. Smoothed-interface SPH model for multiphase fluid-structure interaction. Journal of Computational Physics. 2024; 518, 113336.
[10]. He F, Chen Y, Zhang Y, Jiang H, Huang C. A multi-physics SPH method for simulating heat transfer, mass transfer and phase transition of hydrate. International Communications in Heat and Mass Transfer. 2025; 165, 109012.
[11]. Edmond YM, Songdong S. Simulation of near-shore solitary wave mechanics by an incompressible SPH method. Applied Ocean Research. 2002; 24(5): 275-286.
[12]. Didier E, Neves DRCB, Martins R, Neves MG. Wave interaction with a vertical wall: SPH numerical and experimental modeling. Ocean engineering. 2014; (88): 330-341.
[13]. Chen D, Tzang Sh, Hsieh Ch, Chow Y, Chen J, Lin C, et al. Numerical modeling of wave-induced rotations of a bottom-hinged flapper with aSPH model. Journal of Marine Science and Technology. 2014; 3(22): 372-380.
[14]. Altomare C, Crespo AJC, Dominguez JM, Gomez-Gesteira M, Suzuki T, Verwaest T. Applicability of smoothed particle hydrodynamics for estimation of sea wave impact on coastal structures. Coastal Engineering. 2015; (96): 1-12.
[15]. Chen D, Nagata S, Tzang S, Imai Y, Hsieh C, Chen J. A time-domain numerical tool for a wave energy attenuator with the SPH method. Journal of Marine Science and Technology. 2017; 6(25): 752-760.
[16]. Marrone S, Colagrossi A, Baudry V, Touzé DL. Extreme wave impacts on a wave energy converter: load prediction through a SPH model. Coast Engineering journal. 2019; 61(1):63-77.
[17]. Heydari Z, Shobeyri G, Ghoreishi Najafabadi H. Numerical investigation of solitary Wave interaction with a flapper wave energy converter using incompressible SPH method. Journal of the Brazilian society of mechanical sciences and engineering. 2021; (43): 1-18.
[18]. Ramezanzadeh S, Ozbulut M, Yildiz M. A numerical investigation of the energy efficiency enhancement of oscillating water column wave energy converter systems. Energies. 2022; 15(21), 8276.
[19]. Chen X, Cui J, Li MY. Numerical simulation and energy extraction power fitting of OWSCs under regular waves using SPH method. Ocean Engineering. 2023; 283, 115077.
[20]. Capasso S, Tagliafierro B, Martínez-Estévez I, Altomare C, Gómez-Gesteira M, Göteman M, et al. Development of an SPH-based numerical wave–current tank and application to wave energy converters. Applied Energy. 2025; 377, 124508.
[21]. Shobeyri G. Using a modified MPS gradient model to improve accuracy of SPH method for Poisson equations. Computational Particle Mechanics. 2023; 10(5): 1113-1126.
[22]. Shobeyri G, Rasti Ardakani R. Modified incompressible SPH method for simulating free surface problems using highly irregular multi resolution particle configurations. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2019; (41): 421.
[23]. Koshizuka S, Nobe A, Oka Y. Numerical analysis of breaking waves using the moving particle semi-implicit method. Int J Numer Meth Fluids. 1998; (26): 751–6.