Navier-Stokes方程对流项系数对湍流性质的影响

全部作者: 杨玉尧
作者单位: 北京航空航天大学中法工程师学院
摘 要: 为研究Kolmogorov常数、耗散常数等常数的普适性和本质的物理意义,基于对对流项系数进行修正后的Navier-Stokes(N-S)方程,对各向同向性均匀不可压缩湍流用拟谱方法进行直接数值模拟(direct numerical simulation,DNS),以研究对流项系数对Kolmogorov常数及湍流耗散常数的影响,以及其对湍流空间间歇性的影响。为维持统计上的定常性,在大尺度结构的湍流上施加了决定性外力项。模拟结果表明,对流项系数会影响Kolmogorov常数及湍流耗散常数,但湍流的空间间歇性只取决于积分尺度和Kolmogorov尺度的分离度。
关 键 词: 流体力学;湍流理论;直接数值模拟;不可压缩各向同性均匀湍流;非线性强度
Title: Influence of convection term coefficient of Navier-Stokes equations on turbulent properties
Author: YANG Yuyao
Organization: Ecole Centrale de Pekin, Beihang University
Abstract: In order to study the universality of Kolmogorov constant and turbulent dissipation constant, basing on Navier-Stokes (N-S) equations with modified convection term coefficient, using the pseudo-spectral method, a direct numerical simulation (DNS) was carried out. How the modified convection term coefficient will change the Kolmogorov constant, turbulent dissipation constant as well as other proprieties of homogeneous isotropic incompressible flow such as spatial intermittency was investigated. A deterministic forcing scheme was applied on large scales to keep the statistical steady state of the turbulence. Simulation results show that convection term coefficient will change the Kolmogorov constant and turbulent dissipation constant but turbulence properties as spatial intermittency only depends on the separation degree between integral and Kolmogorov scales.
Key words: fluid mechanics; turbulence theory; direct numerical simulation; incompressible homogenous isotropic turbulence; nonlinear intensity
发表期数: 2016年4月第7期
引用格式: 杨玉尧. Navier-Stokes方程对流项系数对湍流性质的影响[J]. 中国科技论文在线精品论文,2016,9(7):702-710.
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