자유표면 유동해석을 위한 WMLS 기반 입자법 기술 개발

• Published in: Han-guk haeyang gonghak hoeji (Online) Vol. 28; no. 2; pp. 93 - 101
• Main Authors: 남정우(Jung-Woo Nam), 박종천(Jong-Chun Park), 박지인(Ji-In Park), 황성철(Sung-Chul Hwang), 허재경(Jae-Kyung Heo), 정세민(Se-Min Jeong)
• Format: Journal Article
• Language: Korean
• Published: 한국해양공학회 2014
• Subjects: 해양공학; Dam-broken simulation 댐붕괴 시뮬레이션; Free-surface flow 자유표면 유동; Hydro-static pressure test 정수압 문제; Particle simulation method 입자법; WMLS(Weighted moving least-squares) 가중이동최소자승
• ISSN: 1225-0767; 2287-6715

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.