An Improved Moving Particle Semi-Implicit Method for Free Surface Flows

Abstract:

The objective of this study is to make some improvements to the original Moving Particle Semi-implicit method (MPS) for free surface flows. Compared to traditional mesh methods, MPS is feasible to simulate surface flows with large deformation, however, during the simulation; the pressure oscillation is quite violent, duo to misjudgment of surface particles as well as particles gathering together. To modify this problem, a new arc method is applied to judge free surface particles, and a collision model is introduced to avoid particles from gathering together. Hydrostatic pressure and classical dam break are investigated by original and improved MPS. The results verify that improved MPS method is more effective for free surface flows.

• Periodical: Applied Mechanics and Materials (Volumes 571-572)
• Pages: 682-687
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.571-572.682
• Online since: June 2014
• Authors: Qiao Rui Wu*, Xiong Liang Yao
• Keywords: Free Surface Flows, Particle Method, Semi-Implicit

References

[1] S. Li, W.K. Liu. Meshfree and particle methods and their applications. Applied Mechanics Re- views. 55(1) (2002), pp.1-34.

[2] T. Belytschko, Y. Krongauz, D. Organ, et. al. Meshless methods: an overview and recent develop- ments. Computer Methods in Applied Mechanics and Engineering. 139(1996), pp.3-47.

DOI: 10.1016/s0045-7825(96)01078-x

[3] P.F. Thomas, H.G. Matthies. Classification and overview of meshfree methods. Germany Bruns- wich Informatikbericht (2003).

[4] S. Koshizuka , Y. Oka. Moving-Paricle Semi-Implicit Method for Fragmentation of Incompressi- ble Fluid. 123 (1996), pp.421-434.

DOI: 10.13182/nse96-a24205

[5] A. Sjalonaeomoa, Y.C. Jin. MPS mesh-free particle method for multiphase flows. Comput. Me- thods Appl. Mech. Engrg. 229-232(2012), pp.13-16.

[6] S. Park, G. Jeun. Coupling of rigid body dynamics and moving particle semi-implicit method for simulation isothermal multi-phase fluid interactions. 200(2011), pp.130-140.

DOI: 10.1016/j.cma.2010.08.001

[7] W.X. Tian, Y. Ishiwatari, et. al. Numerical simulation on void bubble dynamics using moving par- ticle semi-implicit method. 239(2009), pp.2382-2390.

DOI: 10.1016/j.nucengdes.2009.06.018

[8] Z.G. Sun, Y.Y. Liang and G. Xi. Numerical simulation of the flow in straight blade agitator with MPS method. Internatioal journal for numerical methods in fluids. 67(2011), p.1960-(1972).

DOI: 10.1002/fld.2474

[9] M. Sueyoshi, M. Kashiwagi and S. Naito. J Mar Sci Technol. Numerical simulation of wave-indu- ced nonlinear motions of a two-dimensional floating body bu the moving particle semi-implicit method. J Mar Sci Technol, 13(2008), pp.85-94.

DOI: 10.1007/s00773-007-0260-y

[10] S.D. Shao, Y.M. Lo. Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Advances in Water Resources, 26(7)(2003), pp.787-800.

DOI: 10.1016/s0309-1708(03)00030-7

[11] S. Cummins, R. Murray. An SPH projection method. J. Coumut. Phys, 152(2) (1999), pp.584-607.

[12] J.J. MONAGHAN. Simulation free surface flow with SPH Journal of Computational Physics. 110 (1994), pp.399-406.

[13] C.G. Koh, M. Gao and C. Luo. A new particle method for simulation of incompressible free sur- face flow problems. International journal for numerical methods in engineering, 89(2012), pp.1582-1604.

DOI: 10.1002/nme.3303