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arXiv 0910.0183astro-ph.GA
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超声速Turbulence的大涡模拟

Large Eddy Simulations of Supersonic Turbulence

Wolfram Schmidt

摘要:

根据伍德沃德等人的想法,提出了一种适用于高可压缩湍流的亚网格尺度模型。将亚网格尺度模型应用于受迫超声速湍流的大涡模拟中,可以大大减小瓶颈效应,从而在较低的数值分辨率下获得近似的尺度律。与以往没有明确的亚网格尺度模式的PPM模拟结果一致,我们发现分数密度加权速度场的能谱函数rho^(1/3)u随强迫的变化很大,至少在能量包含范围附近的波数的十年内是如此。因此,如果可压缩湍流的普遍标度存在的话,它只能在比强迫尺度小得多的长度尺度上找到。

英文摘要:

Based on ideas by Woodward et al., a subgrid scale model that is applicable to highly compressible turbulence is presented. Applying the subgrid scale model in large eddy simulations of forced supersonic turbulence, the bottleneck effect is largely reduced and, thereby, approximate scaling laws can be obtained at relatively low numerical resolution. In agreement with previous results from PPM simulations without explicit subgrid scale model, it is found that the energy spectrum function for the velocity field with fractional density-weighing, rho^(1/3)u, varies substantially with the forcing, at least for the decade of wavenumbers next to the energy-containing range. Consequently, if universal scaling of compressible turbulence exists, it can be found on length scales much smaller than the forcing scale only.

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