双局部行进波对流的高精度数值模拟  

High accuracy numerical simulation of doubly localized traveling wave convection

作　　者：王涛[1] 葛永斌[2] 

机构地区：[1]北方民族大学预科教育学院,宁夏银川750021 [2]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《合肥工业大学学报（自然科学版）》2012年第6期842-847,共6页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(11061025);教育部科学技术研究重点资助项目(210239);北方民族大学科学研究基金资助项目(2010Y038)

摘　　要：文章采用高精度紧致格式,对双局部行进波的对流形态进行数值模拟,探讨了具有中等Soret效应的混合流体双局部行进波的形成过程,并进一步分析了双局部行进波的存在区间对相对瑞利数r的依赖性。研究发现:当分离比为φ=-0.47时,延展行进波向双局部行进波过渡的过程依赖于r。数值模拟结果显示,当r=1.23时,得到了稳定的双局部行进波。文中分析了双局部行进波的稳定性对r的关系,确定了存在稳定的双局部行进波的r的范围为r=1.23～1.61。By using the high order compact scheme, the numerical simulations of two-dimensional dou- bly localized traveling wave convection are conducted in this paper. The doubly localized traveling wave of binary fluid mixtures with intermediate Soret effect is simulated, and the dependence of the existence range of the doubly localized traveling wave convection on the relative Rayleigh number r is analy2;ed. It is shown that the changing process of extended traveling wave into doubly localized trave- ling wave depends on the relative Rayleigh number r when the separation ratio φ= -0.47. The results of numerical simulation show that the stable doubly localized traveling wave is obtained when r= 1.23. The relationship between the stability of doubly localized traveling wave and the Rayleigh number r is discussed and it is found that the stable doubly localized traveling wave exists in the range of r between 1.23 and 1.61.

关 键 词：双局部行进波 RAYLEIGH-BENARD对流 Soret效应 高精度数值模拟 

分 类 号：O357.1[理学—流体力学]