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Sensitivity Study of Smoothed Particle Hydrodynamics  

Kim, Yoo-Il (Department of Naval Architecture and Ocean Engineering, Seoul National University)
Nam, Bo-Woo (Department of Naval Architecture and Ocean Engineering, Seoul National University)
Kim, Yong-Hwan (Department of Naval Architecture and Ocean Engineering, Seoul National University)
Publication Information
Journal of Ship and Ocean Technology / v.11, no.4, 2007 , pp. 29-54 More about this Journal
Abstract
Systematic sensitivity analysis of smoothed particle hydrodynamics method (SPH), a gridless Lagrangian particle method, was carried out in this study. Unlike traditional grid-based numerical schemes, systematic sensitivity study for computational parameters is very limited for SPH. In this study, the effect of computational parameters in SPH simulation is explored through two-dimensional dam-breaking and sloshing problem. The parameters to be considered are the speed of sound, the type of kernel function, the frequency of density re-initialization, particle number, smoothing length and pressure extraction method. Through a series of numerical test, detailed information was obtained about how SPH solution can be more stabilized and improved by adjusting computational parameters.
Keywords
smoothed particle hydrodynamic method (SPH); sensitivity analysis; parametric study;
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1 Souto-Iglesias, L., L. Perez-Rojas and R. Zamora-Rodriguez. 2004. Simulation of Anti-roll Tanks and Sloshing type Problems with Smoothed Particle Hydrodynamics. Ocean Engineering, 31, 1169-1192   DOI   ScienceOn
2 Dalymple, R.A and B.D. Rogers. 2006. Numerical Modeling of Water Waves with the SPH Method. Coastal Engineering, 53, 141-147   DOI   ScienceOn
3 Dilts, G. 1999. Moving-least-squares-particle Hydrodynamics - I. Consistency and Stability. International Journal for Numerical Methods in Engineering, 48, 1115-1155
4 Liu, G.R. and M.B. Liu. 2003. Smoothed Particle Hydrodynamics -A Meshfree Particle Method-. World Scientific Publishing Co. Ltd
5 Li, S. and W.K. Liu. 2002. Meshfree and Particle Methods and Their Applications. Appl. Mech. Rev., 55, 1-34   DOI   ScienceOn
6 Colagrossi, A and M. Landrini. 2003. Numerical Simulation of Interfacial Flows by Smoothed Particle Hydrodynamics. Journal of Computational Physics, 191, 448-475   DOI   ScienceOn
7 Dilts, G. 2000. Moving-least-squares-particle Hydrodynamics - II. Conservation and Boundaries. International Journal for Numerical Methods in Engineering, 48, 1504-1524
8 Liu, M.B. and G.R Liu. 2006. Restoring Particle Consistency in Smoothed Particle Hydrodynamics. Applied Numerical Mathematics, 56, 19-36   DOI   ScienceOn
9 Monaghan, J.J. 1994. Simulating free surface flow with SPH. Journal of Computational Physics, 110, 399-406   DOI   ScienceOn
10 Liu, M.B., G.R Liu. and K.Y. Lam. 2003. Constructing Smoothing Functions in Smoothed Particle Hydrodynamics with Applications. Journal of Computational and Applied Mathematics, 155, 263-284   DOI   ScienceOn
11 Riffert, H, H. Herold, O. Flebbe and H. Ruder. 1995. Numerical Aspects of the Smoothed Particle Hydrodynamics Method for Simulating Accretion Disks. Computer Physics Communications, 89, 1-16   DOI   ScienceOn
12 Johnson, G.R. and S.R. Beissel. 1996. Normalized Smoothing Functions for SPH Impact Computations. International Journal for Numerical Methods in Engineering, 39, 2725-2741   DOI   ScienceOn
13 Mas-Gallic, S. and P. Raviart. 1987. A Particle Method for First-order Symmetric Systems. Numer. Math., 51, 323-352   DOI
14 Monaghan, J.J. 1992. Smoothed Particle Hydrodynamics. Annu. Rev. Astron. Astrophys., 543-574
15 Van Daalen, E.F.G. 1999. Two-dimensional free surface anti-roll tank simulations with a volume of fluid based Navier-Stokes solver. Report No. 15306-1-OE, MARIN
16 Nam, B.W. and Y. Kim. 2006. Simulation of Two-Dimensional Sloshing Flows by SPH Method. Proceedings of ISOPE-2006, San Francisco USA
17 Swegel, J.W., D.L. Hicks and S.W. Attaway. 1995. Smoothed Particle Hydrodynamics Stability Analysis. Journal of Computational Physics, 116, 123-134   DOI   ScienceOn
18 Li, S. and W.K. Liu. 2004. Meshfree Particle Methods. Springer
19 Colagrossi, A. 2005. A Meshless Lagrangian Method for Free-Surface and Interface Flows with Fragmentation. PhD Thesis University of Roma
20 Monaghan, J.J. 1983. Shock Simulation by the Particle Method SPH. Journal of Computational Physics, 52, 374-389   DOI   ScienceOn
21 Oger, G., M. Doring, B. Alessandrini and P. Ferrant. 2005. Two-dimensional SPH Simulations of Wedge Water Entries. Journal of Computational Physics, 213, 803-822   DOI   ScienceOn
22 Monaghan, J.J. 2000. SPH without a Tensile Instability. Journal of Computational Physics, 159, 290-311   DOI   ScienceOn
23 Monaghan, J.J. and A. Kos. 1999. Solitary Waves on a Cretan Beach. Journal of Waterway, Port, Coastal and Ocean Engineering, 145-154
24 Shepard, D. 1968. A Two-Dimensional Interpolation Function for Irregularly-Spaced Data. Proceedings ofthe 23rd National Conference, ACM, 517-523
25 Libersky, L.D. and A.G. Petschek. 1990. Smooth Particle Hydrodynamics with Strength of Materials. Advances in the Free Lagrangian Method, Lecture Notes in Physics, 395, 248-257