5阶WENO有限差分法在界面追踪中的应用

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. 

Application of Fifth-Order WENO Finite Difference Method in the Moving-Interface Tracking

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.