二维可压缩流体Kelvin-Helmholtz不稳定性  

Kelvin-Helmholtz instability in compressible fluids

作　　者：王立锋[1,2] 叶文华[2,3,4] 范征锋[2] 孙彦乾[1] 郑炳松[1] 李英骏[1] 

机构地区：[1]中国矿业大学(北京),北京100083 [2]北京应用物理与计算数学研究所计算物理实验室,北京100088 [3]浙江大学物理系,杭州310028 [4]北京大学应用物理与技术研究中心,北京100871

出　　处：《物理学报》2009年第9期6381-6386,共6页Acta Physica Sinica

基　　金：国家重点基础研究发展计划(973)项目(批准号:2007CB815100);国家自然科学基金(批准号:10775020和10874242);高等学校博士学科点专项科研基金(批准号:20070290008)资助的课题~~

摘　　要：利用高精度数值格式,研究了二维可压缩流体中的Kelvin-Helmholtz不稳定性,主要研究了可压缩性对Kelvin-Helmholtz稳定性增长率的影响.模拟定量的给出低Mach和高Mach数两种情况下,初始静压和对流Mach数以及Kelvin-Helmholtz不稳定性线性增长率的关系.模拟结果和自由剪切层以及混合层的实验结果以及理论分析一致.模拟表明,对流Mach数是描述流体可压缩性的合适参数,对流Mach数越小流体越不可压,Kelvin-Helmholtz不稳定性的线性增长率随对流Mach数的增加而减小.Kelvin-Helmholtz instability in two-dimensional compressible fluid is analyzed by the high precision numerical scheme. The linear growth rate of the Kelvin-Helmhohz instability is especially explored. The relations among the initial static pressure, conductive Mach number and linear growth rate of the Kelvin-Helmholtz instability are quantitatively achieved at the case of the low and high Mach numbers. The simulation results agree with the experiment results in free shear layers and mixing layers. Simulation results show that the conductive Mach number is the proper parameter in definition the compression effect. The smaller the conductive Mach number is, the less compressible the fluid is. The linear growth rate of the Kelvin-Helmholtz instability decreases with the increasing conductive Mach number.

关 键 词：KELVIN-HELMHOLTZ不稳定性 可压缩流体 Mach数 超音速流体 

分 类 号：O357[理学—流体力学]