Excellence in Research and Innovation for Humanity

International Science Index

Select areas to restrict search in scientific publication database:
Fast Calculation for Particle Interactions in SPH Simulations: Outlined Sub-domain Technique
A simple and easy algorithm is presented for a fast calculation of kernel functions which required in fluid simulations using the Smoothed Particle Hydrodynamic (SPH) method. Present proposed algorithm improves the Linked-list algorithm and adopts the Pair-Wise Interaction technique, which are widely used for evaluating kernel functions in fluid simulations using the SPH method. The algorithm is easy to be implemented without any complexities in programming. Some benchmark examples are used to show the simulation time saved by using the proposed algorithm. Parametric studies on the number of divisions for sub-domains, smoothing length and total amount of particles are conducted to show the effectiveness of the present technique. A compact formulation is proposed for practical usage.
Digital Article Identifier (DAI):


[1] L. B. Lucy, "Numerical approach to testing the fission hypothesis," Astronomical Journal, vol. 82, pp. 1013-1024, 1977.
[2] R. A. Gingold and J. J. Monaghan, "Smoothed particle hydrodynamics: theory and application to non-spherical stars," Monthly Notices of the Royal Astronomical Society, vol. 181, pp. 375-389, 1977.
[3] H. H. Bui, K. Sako, and R. Fukagawa, "Numerical simulation of soil-water interaction using smoothed particle hydrodynamics (SPH) method," Journal of Terramechanics, vol. 44(5), pp. 339-346, 2007.
[4] S. Potapov, B. Maurel, A. Combescure, and J. Fabisk, "Modeling accidental-type fluid-structure interaction problems with the SPH method," Computers & Structures, vol. 87(11-12), pp. 721-734, 2009.
[5] N. Grenier, M. Antuono, A. Colagrossi, D. Le Touze, and B. Alessandrini, "An Hamiltonian interface SPH formulation for multi-fluid and free surface flows," Journal of Computational Physics, vol. 228(22), pp. 8380-8393, 2009.
[6] G. R. Liu and M. B. Liu, Smoothed particle hydrodynamics: a meshfree particle method. World Scientific Publishing Co. Pte. Ltd., 2007.
[7] R. W. Hockney, S. P. Goel, and J. W. Eastwood, "A 10000 particle molecular dynamics model with long range forces," Chemical Physics Letters, vol. 21(3), pp. 589-591, 1973.
[8] G. Gerardi and D. Molteni, "Parallelization of a smoothed particle hydrodynamic code for simulation of shocks in accretion disks," Memorie Societa Astronomica Italiana, vol. 4, pp. 46-54, 2003.
[9] A. W. Appel, "An efficient program for many-body simulations," SIAM Journal on Scientific and Statistical Computing, vol. 6(1), pp. 85-103, 1985.
[10] L. Hernquist, "Hierarchical N-body methods," Computer Physics Communications, vol. 48, pp. 107-115, 1988.
[11] L. Hernquist and N. Katz, "TreeSPH - A unification of SPH with the Hierarchical Tree method," The Astrophysical Journal Supplement Series, vol. 70, pp. 419-446, 1989.
[12] M. S. Warren and J. K. Salmon, "A portable parallel particle program," Computer Physics Communications, vol. 87, pp. 266-290, 1995.
[13] R. W. Hockney and J. W. Eastwood, Computer simulations using particles, Adamhilger, New York, 1988.
[14] H. Riffert, H. Herold, O. Flebbe, and H. Ruder, "Numerical aspects of the smoothed particle hydrodynamics method for simulating accretion disks," Computer Physics Communications, vol. 89, pp. 1-16, 1995.
[15] J. J. Monaghan, "Why particle methods work (hydrodynamics)," SIAM Journal on Scientific and Statistical Computing, vol. 3, pp. 422-433, 1982.
[16] J. J. Monaghan and J. C. Lattanzio, "A refined particle method for astrophysical problems," Astronomy and Astrophysics, vol. 149, pp. 135-143, 1985.
[17] J. C. Lattanzio, J. J. Monaghan, H. Pongracic, and M. P. Schwartz, "Controlling penetration," SIAM Journal on Scientific and Statistical Computing, vol. 7(2), pp. 591-598, 1986.
[18] J. J. Monaghan, "On the problem of penetration in particle methods," Journal of Computational Physics, vol. 82, pp. 1-15, 1989.
[19] J. J. Monaghan and R. A. Gingold, "Shock simulation by the particle method of SPH," Journal of Computational Physics, vol. 52, pp. 374-389, 1983.
[20] G. A. Sod, "A survey of several finite difference methods for systems of hyperbolic conservation laws," Journal of Computational Physics, vol. 27, pp. 1-31, 1978.
Vol:12 No:05 2018Vol:12 No:04 2018Vol:12 No:03 2018Vol:12 No:02 2018Vol:12 No:01 2018
Vol:11 No:12 2017Vol:11 No:11 2017Vol:11 No:10 2017Vol:11 No:09 2017Vol:11 No:08 2017Vol:11 No:07 2017Vol:11 No:06 2017Vol:11 No:05 2017Vol:11 No:04 2017Vol:11 No:03 2017Vol:11 No:02 2017Vol:11 No:01 2017
Vol:10 No:12 2016Vol:10 No:11 2016Vol:10 No:10 2016Vol:10 No:09 2016Vol:10 No:08 2016Vol:10 No:07 2016Vol:10 No:06 2016Vol:10 No:05 2016Vol:10 No:04 2016Vol:10 No:03 2016Vol:10 No:02 2016Vol:10 No:01 2016
Vol:9 No:12 2015Vol:9 No:11 2015Vol:9 No:10 2015Vol:9 No:09 2015Vol:9 No:08 2015Vol:9 No:07 2015Vol:9 No:06 2015Vol:9 No:05 2015Vol:9 No:04 2015Vol:9 No:03 2015Vol:9 No:02 2015Vol:9 No:01 2015
Vol:8 No:12 2014Vol:8 No:11 2014Vol:8 No:10 2014Vol:8 No:09 2014Vol:8 No:08 2014Vol:8 No:07 2014Vol:8 No:06 2014Vol:8 No:05 2014Vol:8 No:04 2014Vol:8 No:03 2014Vol:8 No:02 2014Vol:8 No:01 2014
Vol:7 No:12 2013Vol:7 No:11 2013Vol:7 No:10 2013Vol:7 No:09 2013Vol:7 No:08 2013Vol:7 No:07 2013Vol:7 No:06 2013Vol:7 No:05 2013Vol:7 No:04 2013Vol:7 No:03 2013Vol:7 No:02 2013Vol:7 No:01 2013
Vol:6 No:12 2012Vol:6 No:11 2012Vol:6 No:10 2012Vol:6 No:09 2012Vol:6 No:08 2012Vol:6 No:07 2012Vol:6 No:06 2012Vol:6 No:05 2012Vol:6 No:04 2012Vol:6 No:03 2012Vol:6 No:02 2012Vol:6 No:01 2012
Vol:5 No:12 2011Vol:5 No:11 2011Vol:5 No:10 2011Vol:5 No:09 2011Vol:5 No:08 2011Vol:5 No:07 2011Vol:5 No:06 2011Vol:5 No:05 2011Vol:5 No:04 2011Vol:5 No:03 2011Vol:5 No:02 2011Vol:5 No:01 2011
Vol:4 No:12 2010Vol:4 No:11 2010Vol:4 No:10 2010Vol:4 No:09 2010Vol:4 No:08 2010Vol:4 No:07 2010Vol:4 No:06 2010Vol:4 No:05 2010Vol:4 No:04 2010Vol:4 No:03 2010Vol:4 No:02 2010Vol:4 No:01 2010
Vol:3 No:12 2009Vol:3 No:11 2009Vol:3 No:10 2009Vol:3 No:09 2009Vol:3 No:08 2009Vol:3 No:07 2009Vol:3 No:06 2009Vol:3 No:05 2009Vol:3 No:04 2009Vol:3 No:03 2009Vol:3 No:02 2009Vol:3 No:01 2009
Vol:2 No:12 2008Vol:2 No:11 2008Vol:2 No:10 2008Vol:2 No:09 2008Vol:2 No:08 2008Vol:2 No:07 2008Vol:2 No:06 2008Vol:2 No:05 2008Vol:2 No:04 2008Vol:2 No:03 2008Vol:2 No:02 2008Vol:2 No:01 2008
Vol:1 No:12 2007Vol:1 No:11 2007Vol:1 No:10 2007Vol:1 No:09 2007Vol:1 No:08 2007Vol:1 No:07 2007Vol:1 No:06 2007Vol:1 No:05 2007Vol:1 No:04 2007Vol:1 No:03 2007Vol:1 No:02 2007Vol:1 No:01 2007