AN UNSPLIT LAGRANGIAN ADVECTION SCHEME FOR VOLUME OF FLUID METHOD

作     者：YANG Wei LIU Shu-hong WU Yu-lin YANG Wei,LIU Shu-hong,WU Yu-lin Laboratory of Hydraulic Science and Engineering,Tsinghua University,Beijing 100084,China

作者机构：Laboratory of Hydraulic Science and Engineering Tsinghua University Beijing 100084 China 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2010年第22卷第1期

页      面：73-80页

核心收录：

学科分类：07[理学] 08[工学] 0824[工学-船舶与海洋工程] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundarion of China (Grant No.10532010) 

主　　题：advection schemes free surfaces fluid interfaces Volume Of Fluid (VOF) method 

摘      要：An Unsplit Lagrangian Advection （ULA） scheme for Volume Of Fluid （VOF） method is presented in this article. The ULA scheme is developed based on an algorithm of Piecewise Linear Interface Construction （PLIC）. The volume fluxes between cells are calculated through solving the new equation of the linear interfaces in cells in the ULA scheme. The fluxes flowing out from one cell is the inflow fluxes for another cell. In this way the whole fluid volume is conserved strictly without using any redistribution algorithms. The ULA scheme is based on two-dimensional structured rectangular mesh and may be extended to three-dimensional structured mesh with more geometrical efforts. The results from three widely-used benchmark tests show that the ULA scheme can achieve the accuracy higher than Split Lagaragian Advection （SLA） scheme and the Flux-Corrected Transport （FCT） algorithm.