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5阶WENO有限差分法在界面追踪中的应用
引用本文:林贤坤,李健,荣吉利,项大林. 5阶WENO有限差分法在界面追踪中的应用[J]. 北京理工大学学报, 2015, 35(4): 341-346. DOI: 10.15918/j.tbit1001-0645.2015.04.003
作者姓名:林贤坤  李健  荣吉利  项大林
作者单位:广西科技大学汽车与交通学院,广西,柳州545006;北京理工大学宇航学院,北京,100081
基金项目:国家自然科学基金资助项目(51209042,11272057)
摘    要:为实现高精度和高分辨率追踪流体运动界面,采用流体体积函数(VOF)法,将VOF函数的二维运输方程转化为一维守恒律方程后,空间导数采用5阶WENO有限差分法离散,时间导数采用3阶Runge-Kutta法离散,数值流通量采用Local Lax-Friedrich通量计算,运动界面采用Youngs界面重构技术重构,从而给出一种5阶高精度和高分辨率的流体运动界面追踪方法. 将该方法分别应用于平移、旋转场和剪切流场中经典模型的运动界面追踪,结果表明本文方法可实现流体运动界面高精度和高分辨率的追踪. 

关 键 词:VOF法  WENO有限差分法  运动界面  界面重构
收稿时间:2013-09-29

Application of Fifth-Order WENO Finite Difference Method in the Moving-Interface Tracking
LIN Xian-kun,LI Jian,RONG Ji-li and XIANG Da-lin. Application of Fifth-Order WENO Finite Difference Method in the Moving-Interface Tracking[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2015, 35(4): 341-346. DOI: 10.15918/j.tbit1001-0645.2015.04.003
Authors:LIN Xian-kun  LI Jian  RONG Ji-li  XIANG Da-lin
Affiliation:1.Automotive Transportation Engineering Institute, Guangxi University of Science and Technology, Liuzhou, Guangxi 545006, China2.School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Abstract:In order to achieve high-precision and high-resolution tracking fluid moving-interface, the fluid volume function (VOF) method was adopted. The two-dimensional transport equation of VOF function was transformed into a one-dimensional conservation law equation. Its spatial derivative was dispersed with fifth-order WENO finite difference method, its time derivative was dispersed with the third-order Runge-Kutta method, the numerical flux was calculated using the local Lax-Friedrich flux, and the moving-interface was reconstructed using Youngs interface reconstruction technology. Based on the above approaches, a method of fifth-order high precision and high resolution was proposed to track moving-interface with VOF. The method was applied to track the moving-interfaces of classic translation, rotating and shear flow field. The results show that the method can achieve high-precision and high-resolution tracking fluid moving-interface.
Keywords:VOF  WENO finite difference method  moving-interface  interface reconstruction
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