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Computational efficiency of mixed least squares meshless models over SPH method for elliptic PDEs | ||
| AUT Journal of Civil Engineering | ||
| دوره 8، شماره 1، 2024، صفحه 17-32 اصل مقاله (902.35 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajce.2024.22777.5847 | ||
| نویسندگان | ||
| Gholamreza Shobeyri* ؛ Seyed Hossein Ghoreishi Najafabadi؛ Mehrdad Abed | ||
| Faculty of Civil, Water & Environmental Engineering, Shahid Beheshti University, Tehran, Iran | ||
| چکیده | ||
| Analysis of various physical phenomena requires a solution of partial differential equations. Numerical methods especially the meshless schemes are used to discretize and solve these equations. Recently, several modifications have been proposed and applied to improve the numerical performance of the smoothed particle hydrodynamics (SPH) as a well-known meshless method. This study aims to show that the least squares methods especially in the context of the mixed formulation can get more accuracy compared with all existing SPH models. To validate this claim, three meshless numerical models are derived from Taylor series expansion on the basis of the mixed formulation. One of the models is based on first-order ordinary mixed formulation while two others use the first and second-order least squares mixed scheme. For accuracy analysis of the proposed methods, a potential flow and three 2D differential equations have been solved and examined with the presented SPH models. The main finding of this study is that the proposed mixed second-order least squares method has the ability to achieve significant computational efficiency over several SPH models. In addition, it has been found that the least square scheme can improve the accuracy of the ordinary mixed model. | ||
| کلیدواژه‌ها | ||
| Meshless Numerical Methods؛ Smoothed Particle Hydrodynamics؛ Elliptic Differential Equations؛ Potential Flows؛ Mixed Formulation | ||
| مراجع | ||
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[1] R.A. Gingold, J.J. Monaghan, Smoothed particle hydrodynamics: theory and application to non-spherical stars, Monthly notices of the royal astronomical society, 181(3) (1977) 375-389.
[2] J.J. Monaghan, Simulating free surface flows with SPH, Journal of computational physics, 110(2) (1994) 399-406.
[3] S. Shao, E.Y. Lo, Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface, Advances in water resources, 26(7) (2003) 787-800.
[4] E. Kazemi, K. Koll, S. Tait, S. Shao, SPH modelling of turbulent open channel flow over and within natural gravel beds with rough interfacial boundaries, Advances in Water Resources, 140 (2020) 103557.
[5] Z. Heydari, G. Shobeyri, S. H. G. Najafabadi, 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, 43 (2021 )1-18.
[6] Y. Pan, X. Yang, S. C. Kong, F. C. Ting, C. Iyer, J. Yi, Characterization of fuel drop impact on wall films using SPH simulation. International Journal of Engine Research, 23(3) (2022) 416-433.
[7] Y. Shimizu, A. Khayyer, H. Gotoh, An enhanced incompressible SPH method for simulation of fluid flow interactions with saturated/unsaturated porous media of variable porosity, Ocean Systems Engineering, 12(1) (2022) 63-86.
[8] X. Dong, G. Hao, R. Yu, Two-dimensional smoothed particle hydrodynamics (SPH) simulation of multiphase melting flows and associated interface behavior, Engineering Applications of Computational Fluid Mechanics, 16(1) (2022) 588-629.
[9] Z. Tan, P.N. Sun, N.N. Liu, Z. Li, H.G. Lyu, R.H. Zhu, SPH simulation and experimental validation of the dynamic response of floating offshore wind turbines in waves, Renewable Energy, 205 (2023) 393-409.
[10] X. Zheng, M. Rubinato, X. Liu, Y. Ding, R. Chen, E. Kazemi, SPH Simulation of Sediment Movement from Dam Breaks, Water, 15(17) (2023) 3033.
[11] Z. Heydari, G.Shobeyri, S. H. G. Najafabadi, Accuracy analysis of different higher-order Laplacian models of Incompressible SPH method. Engineering Computations, 37(1) (2020) 181-202.
[12] X. Hu, N.A. Adams, An incompressible multi-phase SPH method, Journal of computational physics, 227(1) (2007) 264-278.
[13] H.F. Schwaiger, An implicit corrected SPH formulation for thermal diffusion with linear free surface boundary conditions, International Journal for Numerical Methods in Engineering, 75(6) (2008) 647-671.
[14] S.M. Hosseini, J.J. Feng, Pressure boundary conditions for computing incompressible flows with SPH, Journal of Computational physics, 230(19) (2011) 7473-7487.
[15] G. Shobeyri, Improving accuracy of Laplacian model of incompressible SPH method using higher-order interpolation, Iranian Journal of Science and Technology, Transactions of Civil Engineering, 43(4) (2019) 791-805.
[16] G. Shobeyri, Accuracy analysis of different Laplacian models of incompressible SPH method improved by using Voronoi diagram, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42(10) (2020) 1-14.
[17] G. Shobeyri, Using a modified MPS gradient model to improve accuracy of SPH method for Poisson equations, Computational Particle Mechanics, 5 (2023) 1113-1126.
[18] G. R. Liu , Meshfree methods: moving beyond the finite element method. CRC press, 2009.
[19] S. Faraji, M.H. Afshar, J. Amani, Mixed discrete least square meshless method for solution of quadratic partial differential equations, Scientia Iranica, 21 (2014) 492–504.
[20] S. Faraji, M. Kolahdoozan, M.H. Afshar, Mixed Discrete Least Squares Meshless method for solving the linear and non-linear propagation problems, Scientia Iranica, 25(2) (2018) 565-578.
[21] S. Faraji, M. Kolahdoozan, M.H. Afshar, Collocated mixed discrete least squares meshless (CMDLSM) method for solving quadratic partial differential equations, Scientia Iranica 25(4) (2018) 2000-2011.
[22] S. Faraji, M. Kolahdoozan, M. Afshar, Mixed Discrete Least Squares Meshfree method for solving the incompressible Navier–Stokes equations, Engineering analysis with boundary elements, 88 (2018) 64-79.
[23] S. Faraji, M. Kolahdoozan, M.H. Afshar, S. Dabiri, An Eulerian–Lagrangian mixed discrete least squares meshfree method for incompressible multiphase flow problems, Applied Mathematical Modelling, 76 (2019) 193–224.
[24] N. Eini, M. Afshar, S. Faraji, G. Shobeyri, A. Afshar, A fully Lagrangian mixed discrete least squares meshfree method for simulating the free surface flow problems, Engineering with Computers, (2020) 1-21.
[25] H. Arzani, M. Afshar, Solving Poisson's equations by the discrete least square meshless method, WIT Transactions on Modelling and Simulation, 42 (2006) 23-31.
[26] X. Zheng, W. Y. Duan, Q. W. Ma, Comparison of improved meshless interpolation schemes for SPH method and accuracy analysis, Journal of Marine Science and Application, 9(3) (2010) 223-230.
[27] X. Zheng, Q. Ma, S. Shao, A. Khayyer, Modelling of violent water wave propagation and impact by incompressible SPH with first-order consistent kernel interpolation scheme. Water, 9(6) (2017) 400.
[28] G. Shobeyri, Mixed smoothed particle hydrodynamics method for planar elasticity problems. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 47(1) (2023) 491-504.
[29] C. G. Koh, M. Gao, C. Luo, A new particle method for simulation of incompressible free surface flow problems. International journal for numerical methods in engineering, 89(12) (2012) 1582-1604.
[30] K. Roushangar, S. Shahnazi, A. A. Sadaghiani, An efficient hybrid grey wolf optimization-based KELM approach for prediction of the discharge coefficient of submerged radial gates, Soft Computing, 27(7) (2023) 3623-3640.
[31] R. Daneshfaraz, S. Sadeghfam, R. Adami, H. Abbaszadeh, Numerical Analysis of Seepage in Steady and Transient Flow State by the Radial Basis Function Method, Numerical Methods in Civil Engineering, 8(1) (2023) 58-68.
[32] S. Koshizuka, A. Nobe, Y. Oka, Numerical analysis of breaking waves using the moving particle semi-implicit method, International journal for numerical methods in fluids 26( 1998) 751–69. | ||
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