مقایسه دقت یک روش عددی ارتقاء یافته MPS و یک روش بدون شبکه مبتنی بر بسط تیلور و حداقل مربعات

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. https://doi.org/10.1016/j.oceaneng.2023.115077

Daneshvar FA, Rakhshandehroo GR, Talebbeydokhti, N, “New modified gradient models for MPS method applied to free-surface flow simulations”, Applied Ocean Research, 2017, 66, 95-116. https://doi.org/10.1016/j.apor.2017.05.009

Duan G, Koshizuka S, Yamaji A, Chen B, Li X, Tamai T, “An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models”, International Journal for Numerical Methods in Engineering, 2018, 115 (10), 1287-1314. https://doi.org/10.1002/nme.5844

Gingold RA, Monaghan JJ, “Smoothed particle hydrodynamics: theory and application to non-spherical stars”, Monthly Notices of The Royal Astronomical Society, 1977, 181 (3), 375-389. https://doi.org/10.1093/mnras/181.3.375

Gou W, Zhang S, Zheng Y, “Improvement of pressure calculations in the moving particle semi-implicit method for free-surface flows”, International Journal of Computational Methods, 2020, 17 (09), 1950062. https://doi.org/10.1142/S0219876219500622

Han L, Hu X, “SPH modeling of fluid-structure interaction”, Journal of Hydrodynamics, 2018, 30, 62-69. https://doi.org/10.1007/s42241-018-0006-9

Jandaghian M, Shakibaeinia A, “An enhanced weakly-compressible MPS method for free-surface flows”, Computer methods in Applied mechanics and Engineering, 2020, 360, 112771. https://doi.org/10.48550/arXiv.2110.11447

Koh CG, Gao M, Luo C, “A new particle method for simulation of incompressible free surface flow problems”, International Journal for Numerical Methods in Engineering, 2012, 89 (12), 1582-1604. https://doi.org/10.1002/nme.3303

Li D, Zhang H, Qin G, “A modified MPS method with a split-pressure Poisson equation and a virtual particle for simulating free surface flows”, Journal of Marine Science and Engineering, 2023, 11 (1), 215. https://doi.org/10.3390/jmse11010215

Matsunaga T, Koshizuka S, “Stabilized LSMPS method for complex free-surface flow simulation”, Computer Methods in Applied Mechanics and Engineering, 2022, 389, 114416. https://doi.org/10.1016/j.cma.2021.114416

Mitsume N, Yoshimura S, Murotani K, Yamada T, “MPS-FEM partitioned coupling approach for fluid–structure interaction with free surface flow”, International Journal of Computational Methods, 2014, 11 (4), 1350101. https://doi.org/10.1142/S0219876213501016

Pan X, Huai-Xin Z, Xue-Yao S, “Numerical simulation of sloshing with large deforming free surface by MPS-LES method”, China Ocean Engineering, 2012 26 (4), 653-668. https://doi.org/10.1007/s13344-012-0049-6

Peer A, Gissler C, Band S, Teschner M, “An implicit SPH formulation for incompressible linearly elastic solids”, Computer Graphics Forum, 2018, 37 (6), 135-148. https://doi.org/10.1111/cgf.13317

Razavitoosi SL, Ayyoubzadeh SA, Valizadeh A, “Two-phase SPH modelling of waves caused by dam break over a movable bed”, International Journal of Sediment Research, 2014, 29 (3), 344-356. https://doi.org/10.1016/S1001-6279(14)60049-4

Shobeyri G, Madadi HR, “An improvement in MPS method using Voronoi diagram and a new kernel function”, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2018, 40, 1-10. https://doi.org/10.1007/s40430-018-1121-9

Shobeyri G, “Using a modified MPS gradient model to improve accuracy of SPH method for Poisson equations”, Computational Particle Mechanics, 2023, 5, 1113-1126. https://doi.org/10.1007/s40571-022-00549-8

Shobeyri G, “Improved MPS models for simulating free surface flows”, Mathematics and Computers in Simulation, 2024a, 218, 79-97. https://doi.org/10.1016/j.matcom.2023.11.015

Shobeyri G, “Novel SPH and MPS laplacian models improved by mls method for solving poisson equations”, Numerical Methods in Civil Engineering, 2024b, 9 (2), 29-39. https://doi.org/10.61186/NMCE.2406.1061

Shobeyri G, Ghoreishi Najafabadi S, Abed M, “A Comparative Study on Two Mixed Least Squares Meshless Models with Improved SPH, MPS and CPM Methods to Solve Elasticity Problems”, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 2024, 48 (4), 1565-1580. https://doi.org/10.1007/s40997-023-00742-x

Sun Z, Djidjeli K, Xing JT, “Modified MPS method for the 2D fluid structure interaction problem with free surface”, Computers and Fluids, 2015, 122, 47-65. https://doi.org/10.1016/j.compfluid.2015.08.017

Tan H, Chen S, “A hybrid DEM-SPH model for deformable landslide and its generated surge waves”, Advances in water resources, 2017, 108, 256-276. https://doi.org/10.1016/j.advwatres.2017.07.023

Wu J, Zhang G, Sun Z, Yan H, Zhou B, “An improved MPS method for simulating multiphase flows characterized by high-density ratios and violent deformation of interface”, Computer Methods in Applied Mechanics and Engineering, 2023, 412, 116103. https://doi.org/10.1016/j.cma.2023.116103

Zha R, Peng H, Qiu W, “An improved higher-order moving particle semi-implicit method for simulations of two-dimensional hydroelastic slamming”, Physics of Fluids, 2021, 33 (3). https://doi.org/10.1063/5.0033491

Zhang ZL, Walayat K, Chang JZ, Liu MB, “Meshfree modeling of a fluid‐particle two‐phase flow with an improved SPH method”, International Journal for Numerical Methods in Engineering, 2018, 116 (8), 530-569. https://doi.org/10.1002/nme.5935

Zhang GY, Zhao WW, Wan DC, “Numerical simulations of sloshing waves in vertically excited square tank by improved MPS method”, Journal of Hydrodynamics, 2022, 34 (1), 76-84. https://doi.org/10.1007/s42241-022-0008-5

Zheng X, Ma Q, Shao S, Khayyer A, Zheng X, Ma Q, Shao S, Khayyer A, “Modelling of violent water wave propagation and impact by incompressible SPH with first-order consistent kernel interpolation scheme”, Water, 2017, 9 (6), 400. https://doi.org/10.3390/w9060400