자유표면 유동해석을 위한 WMLS 기반 입자법 기술 개발
Development of WMLS-based Particle Simulation Method for Solving Free-Surface Flow
2
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
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. Itis well known that pressure fluctuation primarily occurs because of the numerical approximation of the partial differential operators. The MPS andSPH methods employ a pre-defined kernel function in the approximation of the gradient and Laplacian operators. Because this kernel function isconstructed artificially, an accurate solution cannot be guaranteed, especially when the distribution of particles is irregular. In this paper, wepropose a particle simulation method based on the moving least-square technique for solving the partial differential operators using a Taylor-seriesexpansion. The developed method was applied to the hydro-static pressure and dam-broken problems to validate it.
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. Itis well known that pressure fluctuation primarily occurs because of the numerical approximation of the partial differential operators. The MPS andSPH methods employ a pre-defined kernel function in the approximation of the gradient and Laplacian operators. Because this kernel function isconstructed artificially, an accurate solution cannot be guaranteed, especially when the distribution of particles is irregular. In this paper, wepropose a particle simulation method based on the moving least-square technique for solving the partial differential operators using a Taylor-seriesexpansion. The developed method was applied to the hydro-static pressure and dam-broken problems to validate it.
참고문헌 (19)
- Dilts, G.A, "Moving Least-squares Particle Hydrodynamics II: Conservation and Boundaries", International Journal for Numerical Methods in Engineering, 48(10), pp.1503~1524 (2000)
- Hirt, C. W., "Volume of Fluid(VOF)Method for the Dynamics of Free Boundaries", Journal of Computational Physics, 39, pp.201~225 (1981)
- Jeong, S. -M, "Numerical Prediction of Oil Amount Leaked from a Damaged Tank using Two-dimensional Moving Particle Simulation Method", Ocean Engineering, 69, pp.70~78 (2013)
- 정세민, "2차원 비압축성 점성유동에 관한 무격자법 기반의 수치해석", 한국전산유체공학회지, 14(4), pp.93~100 (2009), 한국전산유체공학회
- Koh, C. G, "A New Particle Method for Simulation of Incompressible Free Surface Flow Problems", International Journal for Numerical Methods in Engineering, 89(12), pp.1582~1604 (2012)
- Koshizuka, S, "Moving-particle Semi-implicit Method for Fragmentation of Incompressible Fluid", Nuclear Science and Engineering, 123, pp.421~434 (1996)
- Khayyer, A, "Enhancement of Stability and Accuracy of the Moving Particle Semi-implicit Method. Journal of Computational Physics", Journal of Computational Physics, 230, pp.3093~3118 (2011)
- Khayyer, A, "A 3D Higher Order Laplacian Model for Enhancement and Stabilization of Pressure Calculation in 3D MPS-based Simulations", Applied Ocean Research, 37, pp.120~126 (2012)
- Khyyer, A, "Enhancement of Performance and Stability of MPS Mesh-free Particle Method for Multiphase Flows Characterized by High Density Ratios", Journal of Computational Physics, 242, pp.211~233 (2013)
- Lee, B. -H, "Step-by-step Improvement of MPS Method in Simulating Violent Free-surface Motions and Impact-loads", Computer Methods in Applied Mechanics and Engineering, 200, pp.1113~1125 (2011)
- Marrone, S, "Study of Ship Wave Breaking Patterns using 3D Parallel SPH Simulations", Computers & Fluids, 69, pp.54~66 (2012)
- Martin, J. C, "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, pp.312~324 (1985)
- Miyata, H, "Potential Flow of Fluids", pp.149~176 (1995), Computational Mechanics Publications
- Monaghan, J.J, "An Introduction to SPH", Computer Physics Communications, 48, pp.89~96 (1988)
- 박지인, "지진해일 중 해안안벽 주변의 부유체 거동에 관한 2차원 입자법 시뮬레이션", 한국해양공학회지, 28(1), pp.12~19 (2014), 한국해양공학회
- Sussman, M, "A Level Set Approach for Computing Solutions to Incompressible Two-phase Flow", Journal Computational Physics, 114, pp.272~280 (1994)
- Takewaki, H, "The Cubic-Interpolated Pseudo Particle(CIP) Method: Application to Nonlinear and Multidimensional Hyperbolic Equations", Journal of Computational Physics, 70(2), pp.355~372 (1987)
- Tanaka, M, "Stabilization Smoothing of Pressure on MPS Method by Quasi-compressibility", Transactions of the Japan Society for Computational Engineering and Science (2008)
- Yang, Q, "Free-surface Flow Interactions with Deformable Structures using an SPH", FEM model. Ocean Engineering, 55, pp.136~147 (2012)