Browse > Article

Study on High Accurate Schemes for Simulation of Free-surface Flow  

Park, Jong-Chun (Dept. of Naval Architecture and Ocean Engineering, Pusan National University)
Lee, Byoung-Hyuk (Dept. of Naval Architecture and Ocean Engineering, Pusan National University)
Kim, Jeung-Hu (Dept. of Naval Architecture and Ocean Engineering, Pusan National University)
Publication Information
Journal of Ocean Engineering and Technology / v.20, no.4, 2006 , pp. 31-36 More about this Journal
Abstract
Numerical schemes for spacing and time are tested to accurately simulate the wave propagation. The tested numerical schemesinclude 2nd-order central differencing, l-order upwind scheme, 2nd-order Leith scheme, 3rd-order MUSCLE, QUICK and QUICKEST schemes in spacing and the Euler and 4th-order Runge-Kutta(R-K) schemes in time. It is seen that more accurate results are expected when the higher-order schemes, especially the schemes combined with a TVD control limiter, are used for solving the wave equation. The 3rd-order upwind scheme with limiter and the 4th-order R-K scheme in tim£ are finally applied to the wave-making simulation in a digital wave tank.
Keywords
Free-surface flow; High accurate scheme; Marker density function; Total variation diminishing limit function; Computational fluid dynamics;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 박 종천 (2003). '해양환경공학의 다목적 시뮬레이션을 위한 수치파랑수조 기술', 한국해양공학회지, 제17권, 제4호, pp 174-180
2 Lax, P.D. and Wendroff, B. (1960). 'Systems of Conservation laws', Comm. Pure Appl. Math., Vol 13, pp 217-237   DOI
3 Leonard, B.P. (1979). 'A stable and Accurate Convective Modeling Procedure Based on Quadratic Upstream Interpolation', Comput. Meths. Appl. Mech. Eng., Vol 19, pp 59-89   DOI   ScienceOn
4 van Leer, B. (1979). 'Towards the ultimate conservative difference scheme, V. A second order sequel to Godunov's method', J. Comp. Pys., Vol 32, pp 101-136
5 Park, J.C., Kim, M.H. and Miyata, H. (1999). 'Fully Nonlinear Free-Surface Simulations By a 3D Viscous Numerical Wave Tank', Int. J. for Numerical Methods in Fluids, Vol 29, pp 685-703   DOI   ScienceOn
6 Koshizuka, S., Carrico, C.B., Lomperski, S.W., Oka, Y. and Togo, Y. (1990). 'Min-Max Truncation : An accurate and stable filtering method for difference calculation of convection', Computational Mechanics, Vol 6, No 6, pp 65-76   DOI
7 박종천, 강대환, 전호환 (2003). '저항감소를 위한 물체후방의 형상 설계에 관한 LES 해석', 한국해양공학회지, 제17권, 제5호, pp 1-10
8 Chakravarthy, S.R. and Osher, S. (1985). 'A New Class of High Accuracy TVD schemes for hyperbolic conservation laws', AIAA paper, 85-0363
9 Sussman, M. Smereka, P. and Osher, S. (1994). 'A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow', J. of Comp. Physics, Vol 114, pp272-280