On the accuracy assessment of Laplacian models in MPS

Computer Physics Communications

Volumn 185, Issue 10, 2014, Pages 2412-2426

  Ng, K C ^a   Hwang, Y H ^b   Sheu, T W H ^c  

^a Universiti Tenaga Nasional   (Malaysia)

^b NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

^c NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

CFD; Consistency; Laplacian model; MPS; Particle method; Poisson equation

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; MATHEMATICAL OPERATORS; POISSON EQUATION;

ACCURACY ASSESSMENT; CONSISTENCY; DIFFERENTIAL OPERATORS; DIRICHLET AND NEUMANN BOUNDARY CONDITIONS; DIVERGENCE THEOREM; LAPLACIAN MODEL; MPS; PARTICLE METHODS;

LAPLACE TRANSFORMS;

EID: 84904723233     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2014.05.012     Document Type: Article

References (38)

1. S. Koshizuka, A. Nobe, and Y. Oka Numerical analysis of breaking waves using the moving particle semi-implicit method Internat. J. Numer. Methods Fluids 1998 751 769
2. A. Khayyer, and H. Gotoh Development of CMPS method for accurate water-surface tracking in breaking waves Coast. Eng. J. 50 2 2008 179 207
3. A. Khayyer, and H. Gotoh Enhancement of stability and accuracy of the moving particle semi-implicit method J. Comput. Phys. 230 2011 3093 3118
4. N. Tsuruta, A. Khayyer, and H. Gotoh A short note on dynamic stabilization of moving particle semi-implicit method Comput. & Fluids 82 2013 158 164
5. S. Koshizuka, H. Tamako, and Y. Oka A particle method for incompressible viscous flow with fluid fragmentation J. Comput. Fluid Dyn. 4 1995 29 46
6. G.T. Duan, and B. Chen Stability and accuracy analysis for viscous flow simulation by the moving particle semi-implicit method Fluid Dyn. Res. 45 035501 2013 1 15
7. H. Isshiki Discrete differential operators on irregular nodes (DDIN) Internat. J. Numer. Methods Engrg. 88 2011 1323 1343
8. C.H. Hu, and M. Sueyoshi Numerical simulation and experiment on dam break problem J. Mar. Sci. Appl. 9 2010 109 114
9. Y.X. Zhang, and DC. Wan Application of MPS in 3D dam breaking flows Sci. Sin. Phys, Mech & Astro 41 2 2011 140 154
10. S. Koshizuka, Y. Oka, Advanced analysis of complex thermal-hydraulic phenomena using particle method. GENES4/ANP2003, Sep 15-19, 2003, Kyoto, Japan, Paper 1165.
11. M. Asai, H. Nijo, and K. Ito Simulation of the impingement of a liquid jet on a molten iron bath by using a particle method ISIJ International 49 2 2009 178 181
12. M. Sueyoshi, Numerical simulation of extreme motions of a floating body by MPS Method. OCEANS '04, MTTS/IEEE TECHNO-OCEAN '04 2004; 1: 566-572.
13. H. Maeda, K. Nishimoto, K. Masuda, T. Asanuma, M.M. Tsukamoto, T. Ikoma, Numerical analysis for hydrodynamic motions of floating structure using MPS method. Proceedings of OMAE 2004: 23rd International Conference on Offshore Mechanics and Arctic Engineering, Vancouver, Canada, 20-25 June 2004, Paper OMAE2004-51435.
14. M. Sueyoshi, M. Kashiwagi, and S. Naito Numerical simulation of wave-induced nonlinear motions of a two-dimensional floating body by the moving particle semi-implicit method J. Mar. Sci. Tech. 13 2008 85 94
15. K.C. Ng, and E.Y.K. Ng Laminar mixing performances of baffling, shaft eccentricity and unsteady mixing in a cylindrical vessel Chem. Eng. Sci. 15 2013 960 974
16. K.C. Ng, E.Y.K. Ng, and WH. Lam Lagrangian simulation of steady and unsteady laminar mixing by plate impeller in a cylindrical vessel Ind. Eng. Chem. Res. 52 2013 10004 10014
17. D. Barada, M. Itoh, and T. Yatagai Computer simulation of photoinduced mass transport on azobenzene polymer films by particle method J. Appl. Phys. 96 8 2004 4204 4210 2004
18. S. Zhang, K. Morita, N. Shirakawa, and K. Fukuda Simulation of the Rayleigh-Taylor instability with the MPS method Mem. Fac. Eng. Kyushu Univ. 64 4 2004 215 228
19. H. Ichikawa, and S. Labrosse Smooth particle approach for surface tension calculation in moving particle semi-implicit method Fluid Dyn. Res. 42 035503 2010 1 18
20. A. Shakibaeinia, and Y.C. Jin A mesh-free particle model for simulation of mobile-bed dam break Adv. Water Resour. 34 2011 794 807
21. A. Souto-Iglesias, F. Macia, L.M. Gonzalez, and JL. Cercos-Pita On the consistency of MPS Comput. Phys. Comm. 184 2013 732 745
22. S. Zhang, K. Morita, K. Fukuda, N. Shirakawa, Simulation of the incompressible flows with the MPS method. 13th International Conference on Nuclear Engineering, Beijing, China, May 16-20, 2005. Paper No: ICONE 13-50166.
23. S. Zhang, K. Morita, K. Fukuda, and N. Shirakawa An improved MPS method for numerical simulations of convective heat transfer problems Internat. J. Numer. Methods Fluids 51 2006 31 47
24. S. Zhang, K. Morita, K. Fukuda, and N. Shirakawa Simulation of three-dimensional convection patterns in a Rayleigh-Benard system using the MPS Method Mem. Fac. Eng. Kyushu Univ. 66 1 2006 29 37
25. Z.G. Sun, Y.Y. Liang, and G. Xi Numerical simulation of the flow in straight blade agitator with the MPS method Internat. J. Numer. Methods Fluids 67 2011 1960 1972
26. Z.G. Sun, G. Xi, Numerical study of pressure wave transmission in liquid under different interface conditions using particle method. Proceedings of the ASME 2009 Fluids Engineering Division Summer Meeting, FEDSM2009, August 2-6, 2009, Vail, Colorado USA. Paper No: FEDSM2009-78201.
27. G. Yoshikawa, K. Hirata, F. Miyasaka, and Y. Okaue Numerical analysis of transitional behavior of ferrofluid employing MPS method and FEM IEEE Trans. Magn. 47 5 2011 1370 1373
28. G. Yoshikawa, K. Hirata, and F. Miyasaka Numerical analysis of electromagnetic levitation of molten metal employing MPS method and FEM IEEE Trans. Magn. 47 5 2011 1394 1397
29. Y. Chikazawa, Development of a particle method for elastic and creep deformation. 18th International Conference on Structural Mechanics in Reactor Technology (SMiRT 18), Beijing, China, August 7-12, 2005. Paper no: SMiRT 18-B01-3.
30. N. Hirata, and K. Anzai Numerical simulation of shrinkage formation of pure Sn casting using particle method Mater. Trans. 52 10 2011 1931 1938
31. T.W.H. Sheu, C.P. Chiao, and C.L. Huang Development of a particle interaction kernel function in MPS method for simulating incompressible free surface flow J. Appl. Math. 31 2011 Article ID 793653: 16 pages
32. C.L. Huang, and T.W.H. Sheu Development of a moving and stationary mixed particle method for solving the incompressible Navier-Stokes equations at high Reynolds numbers Numer. Heat Transfer, Part B 62 2012 71 85
33. C.L. Huang, and T.W.H. Sheu Development of an upwinding particle interaction kernel for simulating incompressible Navier-Stokes equations Numer. Meth. Partial Differ. Equ. 28 2012 1574 1597
34. A. Khayyer, and H. Gotoh A higher order Laplacian model for enhancement and stabilization of pressure calculation by the MPS method Appl. Ocean Res. 32 2010 124 131
35. A. Khayyer, and H. Gotoh A 3D higher order Laplacian model for enhancement and stabilization of pressure calculation in 3D MPS-based simulations Appl. Ocean Res. 37 2012 120 126
36. L.C. Guo, S. Zhang, K. Morita, and K. Fukuda Fundamental validation of the finite volume particle method for 3D sloshing dynamics Internat. J. Numer. Methods Fluids 6 2012 1 17
37. YH. Hwang A moving particle method with embedded pressure mesh (MPPM) for incompressible flow calculations Numer. Heat Transfer, Part B 60 2011 370 398
38. E. Erturk, and B. Dursun Numerical solutions of 2-D steady incompressible flow in a driven skewed cavity ZAMM Z. Angew. Math. Mech. 87 2007 377 392