Multifractal subgrid-scale modeling within a variational multiscale method for large-eddy simulation of turbulent flow
Multifractal subgrid-scale modeling within a variational multiscale method for large-eddy simulation of turbulent flow
复制标题
用于湍流大涡流模拟的变分多尺度方法中的多重分形亚网格尺度建模
DOI：
10.1016/j.jcp.2012.09.013
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
V. Gravemeier
中科院分区：
文献类型：
--
作者：
U. Rasthofer;V. Gravemeier
提出了一种基于变分多尺度方法的多重分形亚网格湍流大涡模拟方法。在多重分形亚网格尺度模拟方法中，亚网格尺度速度是从亚网格尺度涡量的多重分形描述中评估的，这是基于湍流中梯度场的多重分形尺度相似性。多重分形亚网格尺度建模方法被集成到变分多尺度公式中，这构成了变分多尺度概念的一个新应用。本研究的一个重点是应用多重分形亚网格尺度模拟方法有壁湍流。因此，在这项工作中，多重分形亚网格尺度建模方法的近壁限制。多重分形亚网格尺度模型的变分多尺度公式的新的计算方法被应用到湍流通道流在不同的雷诺数，湍流流动在一个面向后的步骤和湍流流动通过一个正方形截面的圆柱体，这是三个最重要的和广泛使用的基准例子壁有界湍流。在这项研究中提出的所有结果证实了所提出的方法的一个非常好的性能。与动态Smagorinsky模型和基于残差的变分多尺度方法相比，得到了改进的结果。此外，它表明，所提出的方法纳入亚网格尺度的能量转移非常接近预期的能量转移，从适当的过滤直接数值模拟数据。的计算成本显着降低相比，一个动态Smagorinsky模型和只略有增加相比，基于残差的变分多尺度方法。
Multifractal subgrid-scale modeling within a variational multiscale method is proposed for large-eddy simulation of turbulent flow. In the multifractal subgrid-scale modeling approach, the subgrid-scale velocity is evaluated from a multifractal description of the subgrid-scale vorticity, which is based on the multifractal scale similarity of gradient fields in turbulent flow. The multifractal subgrid-scale modeling approach is integrated into a variational multiscale formulation, which constitutes a new application of the variational multiscale concept. A focus of this study is on the application of the multifractal subgrid-scale modeling approach to wall-bounded turbulent flow. Therefore, a near-wall limit of the multifractal subgrid-scale modeling approach is derived in this work. The novel computational approach of multifractal subgrid-scale modeling within a variational multiscale formulation is applied to turbulent channel flow at various Reynolds numbers, turbulent flow over a backward-facing step and turbulent flow past a square-section cylinder, which are three of the most important and widely-used benchmark examples for wall-bounded turbulent flow. All results presented in this study confirm a very good performance of the proposed method. Compared to a dynamic Smagorinsky model and a residual-based variational multiscale method, improved results are obtained. Moreover, it is demonstrated that the subgrid-scale energy transfer incorporated by the proposed method very well approximates the expected energy transfer as obtained from appropriately filtered direct numerical simulation data. The computational cost is notably reduced compared to a dynamic Smagorinsky model and only marginally increased compared to a residual-based variational multiscale method.
用于大涡模拟的代数变分多尺度多重网格方法：广义α时间积分、傅立叶分析及其在流经方形截面圆柱体的湍流中的应用
影响因子：
4.1
作者：
Gravemeier V;Kronbichler M;Gee M.W;Wall W.A.
通讯作者：
Wall W.A.