Comparison of different iterative schemes for ISPH based on Rankine source solution

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참고문헌 (40)

1. Bonet, J., "Variational and momentum preservation aspects of smooth particle hydrodynamics formulation", Comput. Methods Appl. Mech. Eng, 180, pp.97~115 (1999)
2. Colagrossi, A., "Numerical simulation of interfacial flows by smoothed particle hydrodynamics", J. Comput. Phys, 191, pp.448~475 (2003)
3. Cummins, S. J., "An SPH projection method", J. Comput. Phys, 152, pp.584~607 (1999)
4. Ellero, M., "Incompressible smoothed particle hydrodynamics", J. Comput. Phys, 226, pp.1731~1752 (2007)
5. Ferrand, M., "Unified semi-analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method", Int. J. Numer. Meth. Fluids, 71, pp.446~472 (2013)
6. Fujino, S., "GPBICG (m, l): a hybrid of BiCGSTAB and GPBiCG methods with efficiency and robustness", Appl. Numer. Math, 41, pp.107~117 (2002)
7. Hori, C., "GPU-acceleration for moving particle semi-implicit method", Comput. Fluids, 51, pp.174~183 (2011)
8. Hu, X. Y., "An incompressible multi-phase SPH method", J. Comput. Phys, 227(2), pp.264~278 (2007)
9. Khayyer, A., "Enhancement of stability and accuracy of the moving particle semi-implicit method", J. Comput. Phys, 230, pp.3093~3118 (2011)
10. Khayyer, A., "Corrected incompressible SPHmethod for accurate water-surface tracking in breaking waves", Coast. Eng, 55(3), pp.26~50 (2008)
11. Kishev, Z. R., "Numerical simulation of violent sloshing by a CIP-based method", J. Mar. Sci. Technol, 11, pp.111~122 (2006)
12. Koshizuka, S., "Moving particle semi-implicit method for fragmentation of incompressible fluid", Nucl. Sci. Eng, 123(3), pp.421~434 (1996)
13. Koshizuka, S., "Numerical analysis of fragmentation mechanisms in vapour explosions", Nucl. Eng. Des, 189(1-3), pp.423~433 (1999)
14. Lee, E. S., "Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method", J. Comput. Phys, 227, pp.8417~8436 (2008)
15. Liu, X., "An improved incompressible SPH model for simulation of wave - structure interaction", Comput. Fluids, 71, pp.113~123 (2013)
16. Lind, S. J., "Incompressible smoothed particle hydrodynamics for free-surface flows: a generalised diffusionbased algorithm for stability and validations for impulsive flows and propagating waves", J. Comput. Phys, 231, pp.1499~1523 (2012)
17. Liu, M. B., "Restoring particle consistency in smoothed particle hydrodynamics", Appl. Numer. Math, 56, pp.19~36 (2006)
18. Ma, Q. W., "MLPG_R method for numerical simulation of 2D breaking waves", Comput. Model. Eng. Sci, 43(3), pp.277~304 (2009)
19. Martin, J. C., "Part IV: an experimental study of the collapse of liquid columns on a rigid horizontal plane", Phil. Trans. R. Soc. Lond. A, 244(882), pp.312~324 (1952)
20. Mittal, R. C., "An efficient method for constructing an ILU preconditioner for solving large sparse nonsymmetric linear systems by the GMRES method", Comput. Math. Appl, 45, pp.1757~1772 (2003)
21. Monaghan, J. J., "Simulation free surface flows with SPH", J. Compu. Phys, 110(4), pp.399~406 (1994)
22. Oger, G., "An improved SPH method: towards higher order convergence", J. Comput. Phys, 225, pp.1472~1492 (2007)
23. Rafiee, A. R., "Comparative study on the accuracy and stability of SPH schemes in simulating energetic free-surface flows", Eur. J. Mech. B, 2012, pp.36, 1~16
24. Saad, Y., "Iterative Methods for Sparse Linear Systems (Second Version).", Society for Industrial and Applied Mathematic, ~ (2003)
25. Saad, Y., "GMRES: a generalized minimum residual algorithm for solving nonsymmetric linear systems", SIAM J. Sci. Stat. Comput, 7, pp.856~869 (1986)
26. Schwaiger, H. F., "An implicit corrected SPH formulation for thermal diffusion with linear free surface boundary conditions", Int. J. Numer. Meth. Engng, 75, pp.647~671 (2008)
27. Shadloo, M. S., "A robust weakly compressible SPH method and its comparison with an incompressible SPH", Int. J. Numer. Methods Eng, 89(8), pp.939~956 (2012)
28. Shao, S. D., "Incompressible SPH simulation of water entry of a freefalling object", Int. J. Numer. Meth. Fluids, 59(1), pp.91~115 (2009)
29. Shao, S. D., "Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface", Adv. Water Resour, 26(7), pp.787~800 (2003)
30. Shao, S. D., "Simulation of wave overtopping by an incompressible SPH model", Coast. Eng, 53(9), pp.723~735 (2006)
31. Sleijpen, G. L., "BiCGstab(L) for linear equations involving unsymmetric matrices with complex spectrum", Electron. Trans. Numer. Analysis, 1, pp.11~32 (1993)
32. Sonneveld, P., "CGS, A fast Lanczos-type solver for nonsymetric linear systems", SIAM J. Sci. Stat. Comput, 10, pp.36~52 (1989)
33. Sonneveld, P., "IDR(s): a family of simple and fast algorithms for solving large nonsymmetric systems of linear equations", SIAM J. Sci. Comput, 31(2), pp.1035~1062 (2009)
34. Spyropoulos, A. N., "Bifurcation detection with the (un) preconditioned GMRES(m)", Comput. Methods Appl. Mech. Eng, 193, pp.4707~4716 (2004)
35. Vogel, J. A., "Flexible BiCG and flexible Bi-CGSTAB for nonsymmetric linear systems", Appl. Math. Comput, 188, pp.226~233 (2007)
36. Van der Vorst, H. A., "Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for solution of non-symmetric linear system", SIAM J. Sci. Stat. Comput, 13, pp.631~644 (1992)
37. Xu, R., "Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach", J. Comput. Phys, 228(18), pp.6703~6725 (2009)
38. Zhang, S., "An improved mps method for numerical simulations of convective heat transfer problems", Int. J. Numer. Methods Fluids, 51, pp.31~47 (2006)
39. Zheng, X., "Incompressible SPH method based on Rankine source solution for violent water wave simulation", J. Comput. Phys, 276, pp.291~314 (2014)
40. Zheng, X., "Incompressible SPH based on Rankine source solution for water wave impact simulation", Procedia Eng, 126, pp.650~654 (2015)

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