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==Applications==
Through the past years, the MPS method has been applied in a wide range of engineering applications including Nuclear Engineering (e.g. [httphttps://dx.doi.org/10.1016/S0029-5493(98)00270-2 Koshizuka et al., 1999]; Koshizuka and Oka, 2001; [httphttps://dx.doi.org/10.1016/j.nucengdes.2005.01.011 Xie et al., 2005]), Coastal Engineering (e.g. [httphttps://dx.doi.org/10.1142/S0578563405001239 Gotoh et al., 2005]; [httphttps://dx.doi.org/10.1016/j.coastaleng.2005.10.007 Gotoh and Sakai, 2006]), Environmental Hydraulics (e.g. [httphttps://dx.doi.org/10.1002/fld.2132 Shakibaeina and Jin, 2009]; [http://ascelibrary.org/doi/10.1061/%28ASCE%29HY.1943-7900.0001275 Nabian and Farhadi, 2016]), Ocean Engineering ([httphttps://dx.doi.org/10.1016/j.oceaneng.2005.12.012 Shibata and Koshizuka, 2007]; [http://www.springerlink.com/content/d887676m640343v2/ Sueyoshi et al., 2008]), Structural Engineering (e.g. [http://www.springerlink.com/content/60q68ha4pfl7n6nf/ Chikazawa et al., 2001]), Mechanical Engineering (e.g. [httphttps://dx.doi.org/10.1016/S0017-9310(02)00011-X Heo et al., 2002]; [http://link.aip.org/link/?PHFLE6/21/032106/1 Sun et al., 2009]), Bioengineering (e.g. [http://www.jamstec.go.jp/esc/publication/journal/jes_vol.5/pdf/JES5_21-Tsubota.pdf Tsubota et al., 2006]) and Chemical Engineering (e.g. [httphttps://dx.doi.org/10.1016/j.ces.2008.10.034 Sun et al., 2009]).
==Improvements==
Improved versions of MPS method have been proposed for enhancement of numerical stability (e.g. [http://www3.interscience.wiley.com/journal/2910/abstract Koshizuka et al., 1998]; [httphttps://dx.doi.org/10.1002/fld.1106 Zhang et al., 2005]; [httphttps://dx.doi.org/10.1016/j.fluiddyn.2005.12.002 Ataie-Ashtiani and Farhadi, 2006];[httphttps://dx.doi.org/10.1002/fld.2132 Shakibaeina and Jin, 2009] ), momentum conservation (e.g. Hamiltonian MPS by [httphttps://dx.doi.org/10.1016/j.cma.2006.12.006 Suzuki et al., 2007]; Corrected MPS by [httphttps://dx.doi.org/10.1142/S0578563408001788 Khayyer and Gotoh, 2008]), mechanical energy conservation (e.g. Hamiltonian MPS by [httphttps://dx.doi.org/10.1016/j.cma.2006.12.006 Suzuki et al., 2007]), pressure calculation (e.g. [httphttps://dx.doi.org/10.1016/j.coastaleng.2008.10.004 Khayyer and Gotoh, 2009], [httphttps://dx.doi.org/10.1002/fld.2207 Kondo and Koshizuka, 2010], [httphttps://dx.doi.org/10.1016/j.apor.2010.01.001 Khayyer and Gotoh, 2010]), and for simulation of multiphase and granular flows ([http://ascelibrary.org/doi/10.1061/%28ASCE%29HY.1943-7900.0001275 Nabian and Farhadi 2016]).
== References ==
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