Moving particle semi-implicit method: Difference between revisions

Revision as of 10:32, 29 July 2013

Revision as of 06:54, 24 September 2013

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==Method==

{{expand- section|date=July 2012}}

The MPS method is similar to the SPH ([[smoothed-particle hydrodynamics]]) method (Gingold and Monaghan, 1977; Lucy, 1977) in that both methods provide approximations to the strong form of the [[partial differential equations]] (PDEs) on the basis of integral interpolants. However, the MPS method applies simplified [[differential operator]] models solely based on a local [[Weighted average|weighted averaging]] process without taking the [[gradient]] of a kernel function. In addition, the solution process of MPS method differs to that of the original SPH method as the solutions to the PDEs are obtained through a semi-implicit prediction-correction process rather than the fully explicit one in original SPH method.

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== References ==

* B. Ataie-Ashtiani and L. Farhadi, "A stable moving particle semi-implicit method for free surface flows," Fluid Dynamics Research 38, 241–256, 2006.

* Y. Chikazawa, S. Koshizuka, and Y. Oka, "A particle method for elastic and visco-plastic structures and fluid-structure interactions," Comput. Mech. 27, pp. 97–106, 2001.

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* A. Khayyer and H. Gotoh, "A higher order Laplacian model for enhancement and stabilization of pressure calculation by the MPS method," Applied Ocean Research, 2010 (in press).

* M. Kondo and S. Koshizuka, "Improvement of stability in moving particle semi-implicit method", Int. J. Numer. Meth. Fluid, 2010 (in press).

* S. Koshizuka and Y. Oka, "Moving particle semi-implicit method for fragmentation of incompressible fluid," Nuclear Science and Engineering, Vol 123, pp. 421–434, 1996.

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* A. Shakibaeinia and Y.C. Jin "A weakly compressible MPS method for simulation open-boundary free-surface flow." Int. J. Numer. Methods Fluids, 63 (10):1208–1232 (Published Online: 7 Aug 2009 {{doi|10.1002/fld.2132}}).

* A. Shakibaeinia and Y.C. Jin "Lagrangian Modeling of flow over spillways using moving particle semi-implicit method." Proc. 33rd IAHR Congress, Vancouver, Canada, 2009, 1809–1816.

* A. Shakibaeinia and Y.C. Jin "MPS Mesh-Free Particle Method for Multiphase Flows." Computer methods in Applied Mechanics and Engineering. 229–232: 13–26. 2012.