1 Lejeune Dirichlet G, "Über die reduction der positiven quadratischen formen mit drei unbestimmten ganzen Zahlen" 1850 (1850): 209-227, 1850
2 Akbari H, "Wave force on protected submarine pipelines over porous and impermeable beds using SPH numerical model" 98 : 102118-, 2020
3 Arth A, "WVTICs - SPH initial conditions for everyone"
4 Hirt CW, "Volume of fluid(VOF)method for the dynamics of free boundaries" 39 (39): 201-225, 1981
5 Gesteira MG, "User guide for the SPHysics code"
6 Gomez-Gesteira M, "State-of-the-art of classical SPH for free-surface flows" 48 (48): 6-27, 2010
7 Liu GR, "Smoothed particle hydrodynamics: A meshfree particle method"
8 Monaghan JJ, "Smoothed particle hydrodynamics" 30 (30): 543-574, 1992
9 Monaghan JJ, "Simulating free surface flows with SPH" 110 (110): 399-406, 1994
10 Di Mascio A, "SPH–FV coupling algorithm for solving multi-scale three-dimensional free-surface flows" 115 : 102846-, 2021
1 Lejeune Dirichlet G, "Über die reduction der positiven quadratischen formen mit drei unbestimmten ganzen Zahlen" 1850 (1850): 209-227, 1850
2 Akbari H, "Wave force on protected submarine pipelines over porous and impermeable beds using SPH numerical model" 98 : 102118-, 2020
3 Arth A, "WVTICs - SPH initial conditions for everyone"
4 Hirt CW, "Volume of fluid(VOF)method for the dynamics of free boundaries" 39 (39): 201-225, 1981
5 Gesteira MG, "User guide for the SPHysics code"
6 Gomez-Gesteira M, "State-of-the-art of classical SPH for free-surface flows" 48 (48): 6-27, 2010
7 Liu GR, "Smoothed particle hydrodynamics: A meshfree particle method"
8 Monaghan JJ, "Smoothed particle hydrodynamics" 30 (30): 543-574, 1992
9 Monaghan JJ, "Simulating free surface flows with SPH" 110 (110): 399-406, 1994
10 Di Mascio A, "SPH–FV coupling algorithm for solving multi-scale three-dimensional free-surface flows" 115 : 102846-, 2021
11 Okahci N, "SPH simulation of pulsating pipe flow at a junction" 388-391, 2001
12 Chaniotis AK, "Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows" 182 : 67-90, 2003
13 Young J, "Regular or random: A discussion on SPH initial particle distribution" International Center for Numerical Methods in Engineering 1105-1116, 2015
14 Luo M, "Particle methods in ocean and coastal engineering" 114 : 102734-, 2021
15 Sasani Babak A, "Numerical study of wave run-up and overtopping considering bed roughness using SPH-GPU" 61 (61): 502-519, 2019
16 Hu T, "Numerical simulations of sloshing flows with an elastic baffle using a SPH-SPIM coupled method" 93 : 101950-, 2019
17 Colagrossi A, "Numerical simulation of interfacial flows by smoothed particle hydrodynamics" 191 (191): 448-475, 2003
18 Siemann MH, "Novel particle distributions for SPH birdstrike simulations" 343 : 746-766, 2019
19 Voronoi G, "Nouvelles applications des paramètres continus à la théorie des formes quadratiques" 1908 (1908): 97-102, 1908
20 De Marchi S, "Near-optimal dataindependent point locations for radial basis function interpolation" 23 (23): 317-330, 2005
21 Morris JP, "Modeling low reynolds number incompressible flows using SPH" 136 (136): 214-226, 1997
22 Koumoutsakos P, "Inviscid axisymmetrization of an elliptical vortex" 138 (138): 821-857, 1997
23 Cormen TH, "Introduction to Algorithms" The MIT Press 2009
24 Brown DK, "Institute for electronics and nanotechnology" Georgia Institute of Technology 2013
25 Lind SJ, "Incompressible smoothed particle hydrodynamics for free-surface flows : A generalised diffusionbased algorithm for stability and validations for impulsive flows and propagating waves" 231 (231): 1499-1523, 2012
26 Zhang ZL, "Improved element-particle coupling strategy with δ-SPH and particle shifting for modeling sloshing with rigid or deformable structures" 114 : 102774-, 2021
27 Yeylaghi S, "ISPH modelling for hydrodynamic applications using a new MPI-based parallel approach" 3 (3): 35-50, 2017
28 S. Diehl, "Generating Optimal Initial Conditions for Smoothed Particle Hydrodynamics Simulations" Cambridge University Press (CUP) 32 : 2015
29 Lind SJ, "Fixed and moored bodies in steep and breaking waves using SPH with the Froude–Krylov approximation" 2 (2): 331-354, 2016
30 Flow Science Inc., "FLOW-3D® Version 12.0 Users Manual"
31 Akbari H, "Evaluatoin of incompressible and compressible SPH methods in modeling dam break flows" 2 (2): 45-57, 2018
32 Kang JM, "Encyclopedia of GIS" Springer US 1232-1235, 2008
33 Zhang AM, "Coupled SPHS-BEM method for transient fluid–structure interaction and applications in underwater impacts" 43 : 223-233, 2013
34 Cleary PW, "Conduction modelling using smoothed particle hydrodynamics" 148 (148): 227-264, 1999
35 Chanson H, "Analytical solution of dam break wave with flow resistance: Application to tsunami surges - UQ espace" Korea Water Resources Association 2005
36 Fu L, "An optimal particle setup method with centroidal voronoi particle dynamics" 234 : 72-92, 2019
37 Akbari H, "An improved particle shifting technique for incompressible smoothed particle hydrodynamics methods" 2019
38 Martin JC, "An experimental study of the collapse of liquid columns on a rigid horizontal plane" 244 (244): 312-324, 1952
39 Cummins SJ, "An SPH projection method" 152 (152): 584-607, 1999
40 Xu R, "Accuracy and stability in incompressible SPH(ISPH)based on the projection method and a new approach" 228 (228): 6703-6725, 2009
41 Vela Vela L, "ALARIC : An algorithm for constructing arbitrarily complex initial density distributions with low particle noise for SPH/SPMHD applications" 224 : 186-197, 2018
42 Ma QW, "A review on approaches to solving Poisson’s equation in projection-based meshless methods for modelling strongly nonlinear water waves" 2 (2): 279-299, 2016
43 Lucy LB, "A numerical approach to the testing of the fission hypothesis" 82 : 1013-1024, 1977
44 Hu C, "A CIP-based method for numerical simulations of violent free-surface flows" 9 : 143-157, 2004