Scale-adaptive subgrid-scale modelling for large-eddy simulation of turbulent flows

Scale-adaptive subgrid-scale modelling for large-eddy simulation of turbulent flows
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用于湍流大涡模拟的尺度自适应亚网格尺度建模

DOI:
10.1063/1.4977089
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发表时间:
2017-03
期刊:
影响因子:
4.6
通讯作者:
Li Xinliang
Li Xinliang
中科院分区:
工程技术2区
文献类型:
--
作者:
Yu Changping;Xiao Zuoli;Li Xinliang

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通过对给定的全分辨场进行滤波,并对假设能谱的一般形式进行评估,先验地研究了次网格尺度动能排泄率(SGS)与分解运动的粘性耗散率之间的比例。建立了任意网格尺度下SGS耗散平衡条件的SGS排水率与分解耗散率之比,它与湍流雷诺数无关,可以用平均网格雷诺数的函数来描述。这样的平衡条件可以作为SGS建模中的物理约束,以解释模型系数的尺度效应(S)。建立了尺度自适应动态Smagorinsky-Lilly模型和混合非线性模型,用于过渡和/或湍流的大涡模拟,满足约束条件。新提出的尺度自适应动态SGS模型在均匀各向同性涡轮的数值模拟中得到了验证。
The proportionality between the subgrid-scale (SGS) drain rate of kinetic energy and the viscous dissipation rate of the resolved motions is studied a priori by filtering a given fully resolved field and evaluating a generic form of the hypothesized energy spectrum. The ratio of the SGS drain to the resolved dissipation, on which a balance condition for the SGS dissipation across an arbitrary grid scale is founded, is shown to be independent of the turbulence Reynolds number, and can be described by a function in terms of the averaged mesh Reynolds number. Such a balance condition can serve as a physical constraint in the SGS modeling to account for the scale effects of the model coefficient(s). Scale-adaptive dynamic Smagorinsky-Lilly model and mixed nonlinear model are formulated for large-eddy simulation of transitional and/or turbulent flows in such a way that the constraint is satisfied. The newly proposed scale-adaptive dynamic SGS models are validated in simulations of homogeneous isotropic turbule...
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