计算机工程与科学2012，Vol.34Issue(8)：99-107,9.DOI:10.3969/j.issn.1007-130X.2012.08.015
含激波、旋涡和声波的复杂多尺度流动的直接数值模拟
A Direct Numerical Simulation of the Complex Multi-Scale Flow with Shock,Vortex and Sound Wave
摘要
Abstract
In this paper,we offer an overview of our recent DNS studies on the interaction between a shock wave and a single planar vortex,a pair of planarvortices or a longitudinal vortex,compressible iso-tropic turbulence through directly solving the two and three dimensional unsteady compressible Navier-Stokes equations using a fifth order weighted essentially non-oscillatory (WENO) finite difference scheme based on the YH parallel computer. The main purpose of these studies is to reveal the feature of shock dynamics,vortex deformation or vortex breakdown and the mechanism of sound generation in the interaction between a shock wave and vortices,as well as to explore the flow structure and mechanism of turbulence. These studies have demonstrated the excellent resolution and stability properties of the high order WENO schemes, making such schemes an ideal numerical tool for the study of shock vortex interactions in which both strong discontinuities and complex flow structures coexist. Through these studies, it is found that there is a multistage feature in the interaction between a shock wave and a strong vortex, which contains the interaction of the shock wave and the initial vortex,of the reflected shock wave and the deformed vortex and of the shocklets and the deformed vortex. The sound generated by the interac-tion between a shock wave and a vortex pair contains two regimes:the linear regime and the nonlinear regime. In the linear regime,the sound wave generated by the interaction of a shock wave and a vortex pair equals to the linear combination of the sound wave generated by the interactions between the same shock wave and each vortex. The second regime corresponds to the shock interaction with a coupled vortex pair. In the interaction between the shock and a longitudinal vortex, we find that there is a multi-helix structure in the region of vortex breakdown. Our simulation of the compressible isotropic turbulence also confirms the existence of shocklets at sufficiently high turbulent Mach number,which is the most noticeable influence of compressibility on the structure of turbulence.关键词
直接数值模拟/并行计算/激波-旋涡相互作用/声波/可压缩各向同性湍流Key words
DNS/ parallel computing/shock-vortex interaction/ sound wave/ compressible isotropic turbulence分类
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张树海,李虎,刘旭亮..含激波、旋涡和声波的复杂多尺度流动的直接数值模拟[J].计算机工程与科学,2012,34(8):99-107,9.基金项目
国家自然科学基金资助项目(11172317,91016001) （11172317,91016001）
国家973计划资助项目(2009CB724104) （2009CB724104）
