Analysis of filtered Navier–Stokes equation for hybrid RANS/LES simulation

Analysis of filtered Navier–Stokes equation for hybrid RANS/LES simulation
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DOI:
10.1063/1.3549933
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发表时间:
2011-01
期刊:
影响因子:
4.6
通讯作者:
F. Hamba
F. Hamba
中科院分区:
工程技术2区
文献类型:
--
作者:
F. Hamba

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混合雷诺平均Navier-Stokes/大涡模拟(RANS/LES)有望准确预测高雷诺数下的壁面湍流流动。由于混合滤波器和空间导数之间的非交换性,在混合滤波方程中会出现额外的项。本文利用槽道湍流的直接数值模拟数据研究了滤波后的Navier-Stokes方程。特别是,传输方程的解决和建模的能量进行评估,检查额外的条款的贡献。通过设置混合滤波器的宽度从网格间距到通道半宽的变化来定位RANS和LES区域。在第一种情况下,RANS区域位于壁附近,用于LES中的壁建模。在第二种情况下,RANS和LES区域分别位于上游和下游。附加项的Navier-Stokes方程和连续性方程显示相当大的值在RANS/LES接口区域…
Hybrid Reynolds-averaged Navier–Stokes/large eddy simulation (RANS/LES) is expected to accurately predict wall-bounded turbulent flows at high Reynolds numbers. It is known that extra terms due to the noncommutivity between the hybrid filter and the spatial derivative appear in the hybrid-filtered equations. In this paper the filtered Navier–Stokes equation is investigated using direct numerical simulation data of turbulent channel flow. In particular, the transport equations for the resolved and modeled energies are evaluated to examine the contribution of the extra terms. The RANS and LES regions are located by setting the width of the hybrid filter varying from the grid spacing to the channel half width. In the first case the RANS region is located near the wall for wall modeling in LES. In the second case the RANS and LES regions are located upstream and downstream, respectively. The extra terms in the Navier–Stokes and continuity equations show fairly large values in the RANS/LES interface region in ...