考虑到复杂界面流的需要,基于三维非稳态的Navier-Stokes方程,采用有限体积法进行数值离散,在构造高分辨率STACS格式的VOF方法的基础上,建立基于气液两相流的三维自由面流动模型,并实现了程序的并行化。应用该模型对旋转流场、三维变形场和溃坝波在湿边界上传播运动等自由面流动问题进行数值模拟,计算结果表明模型模拟复杂自由面的运动具有较高的精度,计算效率高,可为进一步研究波浪对船舶的作用、船行波对航道整治建筑物、岸坡的作用提供基础。
With the necessity of simulating the large-scale complex interface flow, this paper presents a three- dimensional gasliquid two-phase flow numerical model, in which the three-dimensional unsteady Navier- Stokes equations is discretized by the finite volume method and the free flow surface can be caputured by a high-resolution scheme of VOF method (STACS) and the programs are parallelized. This model is used to simulate the typical fluid flow with free-surface, such as ZALESKA problem, 3D deformation and dambreak flow on a wet bottom. The results show that the presented model is able to effectively simulate complex interface flow with high resolution. The model can be applied in further investigation of the interaction between wave and ship as well as the role of ship wave on the waterway structures or the bank.