基于五阶WENO有限差分法的运动界面追踪  

Fifth-order WENO finite difference method for tracking the moving-interfaces

作　　者：卢长娜[1] 程冰[2] 

机构地区：[1]南京信息工程大学数理学院,南京210044 [2]青岛农业大学理学与信息科学学院,青岛266109

出　　处：《南京信息工程大学学报（自然科学版）》2010年第4期357-360,共4页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

基　　金：国家自然科学基金(40906048);南京信息工程大学科研启动基金(90203)

摘　　要：针对处理运动界面问题的流体体积函数(VOF)法,给出了一种高分辨率的运动界面捕捉方法.该方法采用五阶高精度和高分辨率的加权本质无振荡(WENO)有限差分格式离散VOF函数的空间导数;采用四阶Runge-Kutta方法离散时间导数;采用LocalLax-Friedrich通量作为数值流通量.用该方法对旋转流场和剪切流场中的运动界面追踪,结果表明该方法有较好的适用性和精确性.A method of high order accurate resolution is proposed to track moving-interface using VOF,the fifth order WENO scheme for space discretization,the local Lax-Friedrichs numerical flux and fourth order Runge-kutta method for time discretization are used in the methods for tracking the moving-interfaces.A high-resolution method is proposed to track moving surface using VOF（Volume Of Fluid）.The finite difference scheme of fifth order highaccuracy and high-resolution WENO（Weighted Essentially Non-Oscillatory） is established to discretize space derivative of VOF.The fourth order Runge-kutta method is employed to discretize time derivative,with the local LaxFriedrichs as numerical flux.Then the numerical tests are performed in the Zalesak and the shearing flows problems.The results show that the method is effective and feasible for the tracking of the moving-interface.

关 键 词：VOF WENO格式 有限差分法 运动界面 

分 类 号：O351.2[理学—流体力学]