可压缩湍流研究进展  

Progress in the research on compressible turbulence

作　　者：史一蓬[1] 王建春[1] 杨延涛[1] 肖左利[1] 贺贤土[1] 

机构地区：[1]北京大学湍流与复杂系统国家重点实验室,北京大学应用物理与技术研究中心,北京100871

出　　处：《强激光与粒子束》2015年第3期16-24,共9页High Power Laser and Particle Beams

基　　金：国家自然科学基金项目(11221061,91130001,11274026,U1330107)

摘　　要：高马赫数可压缩湍流的运动是一个多尺度多过程的物理现象。采用了多过程分解的方法,将可压缩湍流分解为剪切和胀压过程,分析其统计行为和动力学行为。发展了一种新的紧致差分和WENO格式相结合的混合型数值格式,准确模拟了可压缩湍流场;研究了其多尺度多过程行为和对粒子的输运影响;研究了激波结构对湍流场的影响;在高雷诺数可压缩湍流中,证明存在惯性区,其中流运动和压力做功引起的动能流通量都是常数;证明可压缩湍流中存在从大尺度到小尺度的动能级串过程;证明动能流通量的剪切部分和胀压部分在惯性区都为常数;分析亚格子应力项和亚格子质量流动项对动能级串的影响。High Mach number compressible turbulent flow is a multi-process physical phenomenon with multi-scale properties.To explore its physical mechanism,the motion compressible turbulence is divided into shear and dilation processes,and the effect of dilation on the statistic and dynamics of turbulence is investigated.At first,a new compact-WENO scheme is developed to simulate the turbulent field accurately.The multi-scale properties of shear and dilation process and their effect on the particle transportation are analyzed.The effect of shock on turbulence field is investigated.It is proved that the energy flux due to convection and pressure are constant,then there exists the inertial range for kinetic energy cascade.It is also proved that both the shear and compressible parts of kinetic energy flux are constant in the inertial range.The contribution from subgrid scale stress and subgrid mass flux to the kinetic energy cascade is analyzed.

关 键 词：可压缩湍流 Helmholtz正交分解 标度律 

分 类 号：O354.9[理学—流体力学]