Numerical Simulation of Free Surface by an Area-Preserving Level Set Method

作     者：Tony W.H.Sheu C.H.Yu 

作者机构：Department of Engineering Science and Ocean EngineeringNational Taiwan UniversityNo.1Sec.4Roosevelt RoadTaipeiTaiwan Taida Institute of Mathematical Sciences(TIMS)National Taiwan University Center for Quantum Science and Engineering(CQSE)National Taiwan University 

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

年 卷 期：2012年第11卷第4期

页      面：1347-1371页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：This work was supported by the National Science Council of Republic of China under the Grants NSC-94-2611-E-002-021 NSC-94-2745-P-002-002 and CQSE project 97R0066-69 

主　　题：Level set method phase error upwinding combined compact scheme Hamiltonian symplectic Runge-Kutta area conservation property 

摘      要：We apply in this study an area preserving level set method to simulate gas/water interface *** the sake of accuracy,the spatial derivative terms in the equations of motion for an incompressible fluid flow are approximated by the fifthorder accurate upwinding combined compact difference(UCCD)*** scheme development employs two coupled equations to calculate the first-and second-order derivative terms in the momentum *** accurately predicting the level set value,the interface tracking scheme is also developed to minimize phase error of the first-order derivative term shown in the pure advection *** the purpose of retaining the long-term accurate Hamiltonian in the advection equation for the level set function,the time derivative term is discretized by the sixth-order accurate symplectic Runge-Kutta ***,to keep as a distance function for ensuring the front having a finite thickness for all time,the re-initialization equation is *** the verification of the optimized UCCD scheme for the pure advection equation,two benchmark problems have been chosen to investigate in this *** level set method with excellent area conservation property proposed for capturing the interface in incompressible fluid flows is also verified by solving the dam-break,Rayleigh-Taylor instability,two-bubble rising in water,and droplet falling problems.