检索规则说明:AND代表“并且”;OR代表“或者”;NOT代表“不包含”;(注意必须大写,运算符两边需空一格)
检 索 范 例 :范例一: (K=图书馆学 OR K=情报学) AND A=范并思 范例二:J=计算机应用与软件 AND (U=C++ OR U=Basic) NOT M=Visual
作 者:Tony W.H.Sheu C.H.Yu
机构地区:[1]Department of Engineering Science and Ocean Engineering,National Taiwan University,No.1,Sec.4,Roosevelt Road,Taipei,Taiwan [2]Taida Institute of Mathematical Sciences(TIMS),National Taiwan University [3]Center for Quantum Science and Engineering(CQSE),National Taiwan University
出 处:《Communications in Computational Physics》2012年第4期1347-1371,共25页计算物理通讯(英文)
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.
摘 要:We apply in this study an area preserving level set method to simulate gas/water interface flow.For 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.This scheme development employs two coupled equations to calculate the first-and second-order derivative terms in the momentum equations.For 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 equation.For 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 scheme.Also,to keep as a distance function for ensuring the front having a finite thickness for all time,the re-initialization equation is used.For the verification of the optimized UCCD scheme for the pure advection equation,two benchmark problems have been chosen to investigate in this study.The 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.
关 键 词:Level set method phase error upwinding combined compact scheme HAMILTONIAN symplectic Runge-Kutta area conservation property
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在链接到云南高校图书馆文献保障联盟下载...
云南高校图书馆联盟文献共享服务平台 版权所有©
您的IP:216.73.216.28