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.
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.
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2015年第4期341-346,共6页
Transactions of Beijing Institute of Technology
基金
国家自然科学基金资助项目(51209042
11272057)
