有理大涡模拟模型对湍流槽道流动的大涡模拟
Large Eddy Simulation of Turbulent Channel Flows by the Rational LES Model
AI总结：
本文将有理由大涡模拟模型应用于湍流槽道流动，在Re_tau=180和395下与梯度模型及Smagorinsky模型对比，结果显示RLES模型精度更高，与直接数值模拟吻合良好。
摘要：
有理大涡模拟（RLES）模型被应用于湍流槽道流动。该近似反卷积模型基于高斯滤波器傅里叶变换的有理（次对角Padé）近似，并作为梯度（也称为非线性或张量扩散）模型的替代方案提出。我们使用谱元法代码对不可压缩槽道流动进行大涡模拟，雷诺数基于摩擦速度和槽道半宽，Re_tau = 180 和 Re_tau = 395。我们将RLES模型与梯度模型进行了比较。RLES结果显示相对于梯度模型有明显的改进，与精细直接数值模拟结果吻合良好。作为比较，我们还给出了对应于经典亚格子涡粘模型（如标准Smagorinsky模型）的结果。
英文摘要：
The rational large eddy simulation (RLES) model is applied to turbulent channel flows. This approximate deconvolution model is based on a rational (subdiagonal Pade') approximation of the Fourier transform of the Gaussian filter and is proposed as an alternative to the gradient (also known as the nonlinear or tensor-diffusivity) model. We used a spectral element code to perform large eddy simulations of incompressible channel flows at Reynolds numbers based on the friction velocity and the channel half-width Re{sub tau} = 180 and Re{sub tau} = 395. We compared the RLES model with the gradient model. The RLES results showed a clear improvement over those corresponding to the gradient model, comparing well with the fine direct numerical simulation. For comparison, we also present results corresponding to a classical subgrid-scale eddy-viscosity model such as the standard Smagorinsky model.
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