Recent analysis of direct numerical simulations of compressible homogeneous shear flow turbulence has unraveled some of the energy transfer mechanisms responsible for the decrease of kinetic energy growth when the flow becomes more compressible. In this complementary study, attention is focused on the rate of strain tensor. A Helmholtz decomposition of the velocity field leads to a consideration of a solenoidal and an irrotational rate of strain tensor. Their eigenvalue distributions, eigenvector orientations, and the relative alignment between the eigenvectors and the vorticity and pressure gradient vectors are examined with the use of probability density functions. The irrotational rate of strain tensor is found to have a preferred structure in regions of strong dilatation. This structure depends on the mean shear, and is quite different from that of the solenoidal rate of strain tensor. Compressibility strongly affects the orientation properties of the pressure gradient vector.

中文翻译：

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可压缩均质湍流中应变张量率的统计分析

最近 分析 可压缩均质的直接数值模拟 剪切流 湍流 解开了一些 能量转移 导致动力学下降的机制 能源 增长时 流变得更加可压缩。在这项补充研究中，注意力集中在应变率上张量。 速度场的亥姆霍兹分解导致考虑了螺线管应变率和无旋应变率 张量。 其 特征值 分布， 特征向量 方向，以及 特征向量 和 涡度使用概率密度函数检查压力梯度矢量。无应变的旋转速度张量据发现，在强膨胀区域中发现具有优选的结构。这种结构取决于平均剪切力，与螺线管的应变率完全不同张量。 可压缩性强烈影响压力梯度向量的方向特性。