A Preconditioned Implicit Free-Surface Capture Scheme for Large Density Ratio on Tetrahedral Grids

作     者：Xin Lv Qingping Zou D.E.Reeve Yong Zhao 

作者机构：International Center for Numerical Methods in Engineering(CIMNE)-Singapore51 Science Park Road#04-20The Aries Singapore Science Park II117586Singapore Department of Civil and Environmental EngineeringUniversity of MaineOronoMaine 04469USA Center for Coastal Dynamics and EngineeringSchool of EngineeringUniversity of PlymouthDevon PL48AAUnited Kingdom College of EngineeringAlfaisal UniversityAl Maathar RoadP.O.Box 50927Riyadh 11533Kingdom of Saudi Arabia 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2012年第11卷第1期

页      面：215-248页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：supported by the Flood Risk from Extreme Events(FREE)Programme of the UK Natural Environment Research Council(NERC)(NE/E0002129/1) coordinated and monitored by Professor Chris Collier and Paul Hardaker.We thank Dr.Zhengyi Wang and Dr.Qun Zhao for helpful discussions.The numerical calculations have been carried out on the HPC facility at the University of Plymouth 

主　　题：VOF level set free surface unstructured finite volume method implicit method restarted GMRES tetrahedral grid 

摘      要：We present a three dimensional preconditioned implicit free-surface capture scheme on tetrahedral *** current scheme improves our recently reported method[10]in several ***,we modified the original eigensystem by applying a preconditioning matrix so that the new eigensystem is virtually independent of density ratio,which is typically large for practical two-phase ***,we replaced the explicit multi-stage Runge-Kutta method by a fully implicit Euler integration scheme for the Navier-Stokes(NS)solver and the Volume of Fluids(VOF)equation is now solved with a second order Crank-Nicolson implicit scheme to reduce the numerical diffusion *** preconditioned restarted GeneralizedMinimal RESidual method(GMRES)is then employed to solve the resulting linear *** validation studies show that with these modifications,the method has improved stability and accuracy when dealing with large density ratio two-phase problems.