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

J. Ocean Eng. Technol. 2006;20(4):31-36.

Park, Jong-Chun;Lee, Byoung-Hyuk;Kim, Jeung-Hu;

Dept. of Naval Architecture and Ocean Engineering, Pusan National University;Dept. of Naval Architecture and Ocean Engineering, Pusan National University;Dept. of Naval Architecture and Ocean Engineering, Pusan National University;

자유표면 유동 시뮬레이션을 위한 고정확도 수치도식의 검토

박종천;이병혁;김정후;

부산대학교 조선해양공학과;부산대학교 조선해양공학과;부산대학교 조선해양공학과;

Keywords: Free-surface flow, High accurate scheme, Marker density function, Total variation diminishing limit function, Computational fluid dynamics

핵심용어: 자유표면 유동, 고정확도 도식, 밀도함도, TVD 제한함수, 전산유체역학

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.