摘要
本文利用Simple算法对流体力学基本方程组进行了数值模拟,探讨了矩形腔体混合流体中对流行波斑图的多重稳定性问题.当分离比Ψ=-0.4,r=1.8时,首次发现存在三种不同的依赖于初值的稳定对流斑图,即缺陷源摆动的对传波,向左传播的有缺陷行波和向右传播的有缺陷行波的三重稳定性.两种有缺陷的行波传播方向不同,但缺陷出现周期及最大振幅随着时间的变化规律一致;缺陷源摆动的对传波与有缺陷的行波的斑图不同,最大振幅随着时间的变化规律差别较大.结果说明在本文参数情况下混合流体对流行波斑图存在三重稳定性或者初值依赖性.
In this paper, the numerical simulations are made by solving the two-dimensional full equations of hydrodynamics using the Simple method, and the tristability of traveling wave pattern in binary fluid convection in a rectangular cell is preliminarily studied. Three kinds of stable convection patterns which depend on the initial value for the separation ratio Ψ=-0.4 at reduced Rayleigh number r=1.8 are found for the first time, that is, the tristability of patterns of the counter propagating wave with the undulation of the defect source, the traveling wave with defects propagating towards the left, and the traveling wave with defects propagating towards the right. The propagating directions of two kinds of traveling wave with defects are different, but the appearing period of the defects and the variation of the maximum amplitude with time are the same. The patterns of the counter-propagating wave with the undulation of the defect source are different from those of the traveling wave with defects. The variations of the maximum amplitude with time for the two waves are also different. The result shows that the tristability or initial-value dependence exists for the traveling wave patterns in a binary fluid convection under the parameters used in this paper.
出处
《力学季刊》
CSCD
北大核心
2017年第4期807-813,共7页
Chinese Quarterly of Mechanics
基金
国家自然科学基金(10872164)
陕西省重点学科建设专项资金(00X901)
西北旱区生态水利工程国家重点实验室培育基地基金项目(2017ZZKT-2)
关键词
三重稳定性
初值依赖性
行波
对传波
数值模拟
混合流体
tristability
initial-value dependence
traveling wave
counterpropagating wave
numerical simulation
binary fluid mixture
