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Development of WMLS-based Particle Simulation Method for Solving Free-Surface Flow

자유표면 유동해석을 위한 WMLS 기반 입자법 기술 개발

  • 남정우 (STX조선해양(주), 조선기술본부) ;
  • 박종천 (부산대학교 조선해양공학과) ;
  • 박지인 (한국해양과학기술원 선박해양플랜트연구소) ;
  • 황성철 (부산대학교 조선해양공학과) ;
  • 허재경 (DNV-GL 소프트웨어) ;
  • 정세민 (대우조선해양(주) 중앙연구원)
  • Received : 2014.02.03
  • Accepted : 2014.04.15
  • Published : 2014.04.30

Abstract

In general, particle simulation methods such as the MPS(Moving Particle Simulation) or SPH(Smoothed Particle Hydrodynamics) methods have some serious drawbacks for pressure solutions. The pressure field shows spurious high fluctuations both temporally and spatially. It is well known that pressure fluctuation primarily occurs because of the numerical approximation of the partial differential operators. The MPS and SPH methods employ a pre-defined kernel function in the approximation of the gradient and Laplacian operators. Because this kernel function is constructed artificially, an accurate solution cannot be guaranteed, especially when the distribution of particles is irregular. In this paper, we propose a particle simulation method based on the moving least-square technique for solving the partial differential operators using a Taylor-series expansion. The developed method was applied to the hydro-static pressure and dam-broken problems to validate it.

Keywords

References

  1. Dilts, G.A., 2000. Moving Least-squares Particle Hydrodynamics II: Conservation and Boundaries. International Journal for Numerical Methods in Engineering, 48(10), 1503-1524. https://doi.org/10.1002/1097-0207(20000810)48:10<1503::AID-NME832>3.0.CO;2-D
  2. Hirt, C.W., Nichols, B.D., 1981. Volume of Fluid(VOF) Method for the Dynamics of Free Boundaries. Journal of Computational Physics, 39, 201-225. https://doi.org/10.1016/0021-9991(81)90145-5
  3. Jeong, S.-M., Nam, J.-W., Hwang, S.-C., Park, J.-C., Kim, M.-H., 2013. Numerical Prediction of Oil Amount Leaked from a Damaged Tank using Two-dimensional Moving Particle Simulation Method. Ocean Engineering. 69, 70-78. https://doi.org/10.1016/j.oceaneng.2013.05.009
  4. Jeong, S.-M., Park, J.-C., Heo, J.-K., 2009. Numerical Study on Two-Dimensional Incompressible Viscous Flow based on Gridless Method. Journal of Computational Fluids Engineering, 14(4), 93-100.
  5. Koh, C.G., Gao, M., Luo, C., 2012. A New Particle Method for Simulation of Incompressible Free Surface Flow Problems. International Journal for Numerical Methods in Engineering, 89(12), 1582-1604. https://doi.org/10.1002/nme.3303
  6. Koshizuka, S., Oka, Y., 1996. Moving-particle Semi-implicit Method for Fragmentation of Incompressible Fluid. Nuclear Science and Engineering, 123, 421-434.
  7. Khayyer, A., Gotoh, H., 2011. Enhancement of Stability and Accuracy of the Moving Particle Semi-implicit Method. Journal of Computational Physics. 230, 3093-3118. https://doi.org/10.1016/j.jcp.2011.01.009
  8. Khayyer, A., Gotoh, H., 2012. A 3D Higher Order Laplacian Model for Enhancement and Stabilization of Pressure Calculation in 3D MPS-based Simulations. Applied Ocean Research. 37, 120-126. https://doi.org/10.1016/j.apor.2012.05.003
  9. Khyyer, A., Gotoh, H., 2013. Enhancement of Performance and Stability of MPS Mesh-free Particle Method for Multiphase Flows Characterized by High Density Ratios. Journal of Computational Physics. 242, 211-233. https://doi.org/10.1016/j.jcp.2013.02.002
  10. Lee, B.-H., Park, J.-C., Kim, M.-H., Hwang, S.-C., 2011. Step-by-step Improvement of MPS Method in Simulating Violent Free-surface Motions and Impact-loads. Computer Methods in Applied Mechanics and Engineering, 200, 1113-1125. https://doi.org/10.1016/j.cma.2010.12.001
  11. Marrone, S., Bouscasse, B., Colagrossi, A., Antuono, M., 2012. Study of Ship Wave Breaking Patterns using 3D Parallel SPH Simulations. Computers & Fluids. 69, 54-66. https://doi.org/10.1016/j.compfluid.2012.08.008
  12. Martin, J.C., Moyce, W.J., 1985. An Experimental Study of the Collapse of Liquid Columns on a Rigid Horizontal Plane. Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences. 244, 312-324.
  13. Miyata, H., Park, J.C., 1995. Ch.5 Wave Breaking Simulation. Potential Flow of Fluids, ed. M. Rahman. Computational Mechanics Publications, UK., 149-176.
  14. Monaghan, J.J., 1988. An Introduction to SPH. Computer Physics Communications, 48, 89-96. https://doi.org/10.1016/0010-4655(88)90026-4
  15. Park, J.-I., Park, J.-C., Hwang, S.-C., Heo, J.-K., 2014. Two-Dimensional Particle Simulation for Behaviors of Floating Body near Quaywall during Tsunami. Journal of Ocean Engineering and Technology. 28(1), 12-19 https://doi.org/10.5574/KSOE.2014.28.1.012
  16. Sussman, M., Smereka, P., Osher, S., 1994. A Level Set Approach for Computing Solutions to Incompressible Two-phase Flow. Journal Computational Physics, 114, 272-280.
  17. Takewaki, H., Yebe, T., 1987. The Cubic-Interpolated Pseudo Particle(CIP) Method: Application to Nonlinear and Multidimensional Hyperbolic Equations. Journal of Computational Physics, 70(2), 355-372. https://doi.org/10.1016/0021-9991(87)90187-2
  18. Tanaka, M., Masunaga, T., 2008. Stabilization Smoothing of Pressure on MPS Method by Quasi-compressibility. Transactions of the Japan Society for Computational Engineering and Science. 2008, 20080025. (in Japanese)
  19. Yang, Q., Jones, V., McCue, L., 2012. Free-surface Flow Interactions with Deformable Structures using an SPH. FEM model. Ocean Engineering, 55, 136-147. https://doi.org/10.1016/j.oceaneng.2012.06.031