应用摄动有限体积法求解Navier-Stokes方程组  

An Investigation on the Solution of Navier-Stokes Using Perturbational Finite Volume Method

作　　者：范昌胜[1] 郭强[2] FAN Chang-sheng;GUO Qiang(Department of Project Management Shaanxi Radio and TV University,Xi′an 710119,China;School of Science of NorthwesternPolytechnical University,Xi′an 710068,China)

机构地区：[1]陕西广播电视大学工程管理系,西安710119 [2]西北工业大学理学院应用数学系,西安710072

出　　处：《太原科技大学学报》2018年第5期398-404,共7页Journal of Taiyuan University of Science and Technology

摘　　要：通过数值模拟,分析了二维方腔顶盖驱动流中各级涡的涡心位置、涡心处流函数值以及方腔中线上的速度,验证了数值摄动有限体积法的高精度和高分辨率特性。同时,应用数值摄动有限体积法计算了4:1平板收缩流,给出了不同雷诺数下的流线图、对称轴的速度图以及收缩区下游管道的速度截面图,详细分析了雷诺数对流场的影响,以及收缩区下游管道长度对流场充分发展的影响;讨论了收缩处剪切、拉伸作用对下游流场的影响。数值结果表明,PFVM比一阶迎风、二阶中心FVM的精度和分辨率高、稳定性好。Based on the numerical simulation of the two-dimensional lid-driven cavity flow,high accuracy and high resolution of the method are validated by analyzing the stream function value on the vortex core position and the velocity along the centerline.The perturbational finite volume method is performed to numerically simulate complex 4:1 planar contraction flow.For 4:1 planar contraction flow,the numerical result gives the vortex variation with increasing Reynolds number and the flat long secondary vortex captured on the contraction corner upstream.It is also shown that how the length of downstream pipeline affects the full flow field at the different Reynolds numbers.Moreover,shearing and stretching at the contraction are discussed about their influences on the downstream flow field.The numerical cases show that the perturbational finite volume method is efficient and successful for describing the complex flow.

关 键 词：摄动 有限体积 方腔流 收缩流 SIMPLEC 

分 类 号：O373[理学—流体力学]