Modal explicit filtering for large eddy simulation in discontinuous spectral element method
Modal explicit filtering for large eddy simulation in discontinuous spectral element method
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间断谱元法中大涡模拟的模态显式滤波
DOI：
10.1016/j.jcpx.2019.100024
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发表时间：
2019
影响因子：
--
通讯作者：
Mashayek, Farzad
中科院分区：
文献类型：
--
作者：
Ghiasi, Zia;Komperda, Jonathan;Li, Dongru;Peyvan, Ahmad;Nicholls, David;Mashayek, Farzad
开发一种计算成本低廉且与数值格式兼容的湍流模型是扩大谱元方法在复杂几何结构中大涡模拟（LES）应用的关键一步。本文采用不连续谱元法（DSEM）实现了在谱空间中运行的元级模态低通显式滤波过程。研究了模态滤波器在无子网格尺度（SGS）模型的LES中的应用。对该方法进行了具有各向同性湍流的配置测试，并将其性能与先前使用的方法-基于谱插值的节点滤波器进行了比较。模态滤波器表现出优于节点滤波器的性能。然后将滤波过程应用于摩擦雷诺数Re τ= 544的湍流通道流动，并将结果与先前的直接数值模拟（DNS）进行比较。还表明，与DNS提供最佳比较的过滤器强度仅取决于多项式阶，而不是网格分辨率的函数。模态滤波器的各向异性版本，阻尼高频模态在一个特定的方向，也被介绍和测试通道流动。通过对速度平均值和波动与DNS的比较，可以看出，横向滤波是最有效的方法。总的来说，模态滤波器在各向同性和有壁流动中都表现出良好的性能；模态滤波器计算的通道摩擦雷诺数相对于DNS数据误差在0.26%以内，而未进行滤波的情况误差为5.8%。
Developing a turbulence model that is computationally inexpensive and compatible with the nature of the numerical scheme is a crucial step in expanding the application of spectral element methods for large eddy simulation (LES) in complex geometries. In this paper, an element-level modal low-pass explicit filtering procedure, which operates in the spectral space, is implemented in a discontinuous spectral element method (DSEM). The application of the modal filter is studied for LES without a subgrid-scale (SGS) model. The method is tested for a configuration featuring isotropic turbulence, and its performance is compared with a previously used method—a spectral interpolation-based nodal filter. The modal filter shows superior performance over the nodal filter. The filtering procedure is then applied to a turbulent channel flow at a friction Reynolds number of Re τ= 544, and the results are compared with a previous direct numerical simulation (DNS). It is also shown that the filter strength that provides the best comparison with DNS depends only on the polynomial order and is not a function of the grid resolution. An anisotropic version of the modal filter, which damps high-frequency modes in a specific direction, is also introduced and tested for the channel flow. It is observed that filtering in the spanwise direction is the most effective approach based on the comparison of velocity mean and fluctuations with DNS. In general, the modal filter has shown good performance for both isotropic and wall-bounded flows; the calculated channel friction Reynolds number for the modal filter is within 0.26% error with respect to the DNS data, compared to 5.8% error for a case with no filtering.
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DOI：
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发表时间：
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期刊：
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