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首页> 外文期刊>Physics of fluids >Multifractal subgrid-scale modeling within a variational multiscale method for large-eddy simulation of passive-scalar mixing in turbulent flow at low and high Schmidt numbers
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Multifractal subgrid-scale modeling within a variational multiscale method for large-eddy simulation of passive-scalar mixing in turbulent flow at low and high Schmidt numbers

机译：变分多尺度方法内的多分形子网格尺度建模，用于在低和高施密特数下的湍流中被动标量混合的大涡模拟

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摘要

Multifractal subgrid-scalemodeling embedded into a variational multiscalemethod is proposed for large-eddy simulation of passive-scalar mixing in turbulent incompressible flow. In this subgrid-scale modeling approach, subgrid-scale velocity and scalar field are directly approximated by amultifractal reconstruction process replicating the actual physics of turbulent flows. Problems from low to high Schmidt numbers (i.e., Sc ≈ 1 to Sc1) are considered in this work. Starting from preceding work, in this study, multifractal subgrid-scale modeling is further detailed by refining the approximation processwithin the scalar field. Thereby, appropriate multifractal subgrid-scale modeling for passive-scalar mixing is derived in comprehensive form for the entire range of Schmidt numbers. The near-wall behavior of the multifractal subgrid-scale modeling approach is investigated for wall-bounded turbulent flows with passivescalar mixing. The method is validated for passive-scalar mixing in turbulent channel flow for a broad range of Schmidt numbers in between 1 and 1000. Excellent performance is stated for all Schmidt numbers, in particular when comparing the results obtained with the proposed method to results provided by other methods widely used in the literature. An analysis of the subgrid-scale scalar-variance transfer highlights the influence of the multifractal subgrid-scale modeling within the variational multiscale method. The near-wall behavior of the proposed method is investigated via the transfer coefficient, for which results consistent with the theoretical correlation are obtained.
机译：为了解决湍流不可压缩流中被动标量混合的大涡模拟，提出了一种嵌入分形多尺度方法的多重分形子网格模型。在这种亚网格尺度的建模方法中，亚网格尺度的速度和标量场通过多重分形重建过程直接近似，该过程复制了湍流的实际物理过程。施密特数从低到高（Sc≈1到Sc 1）的问题被考虑在这项工作中。从先前的工作开始，在本研究中，通过细化标量场内的近似过程，进一步详细描述了多重分形子网格规模的建模。因此，针对施密特数的整个范围，以综合形式导出了适合于无源标量混合的适当的多分形子网格规模建模。研究了在无源标量混合作用下，壁边界湍流的多重分形子网格规模建模方法的近壁行为。对于在1到1000之间的广泛Schmidt数范围的湍流通道中的被动标量混合，该方法得到了验证。对于所有Schmidt数，该方法均具有出色的性能，特别是将所提出的方法的结果与文献中广泛使用的其他方法。对子网格规模标量方差传递的分析突出了变分多尺度方法内多重分形子网格规模建模的影响。通过传递系数研究了所提方法的近壁特性，得到了与理论相关的结果。

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