Cascade of kinetic energy in three-dimensional compressible turbulence.

Cascade of kinetic energy in three-dimensional compressible turbulence.
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DOI:
10.1103/physrevlett.110.214505
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发表时间:
2012-11
影响因子:
8.6
通讯作者:
Jianchun Wang;Yantao Yang;Yipeng Shi;Zuoli Xiao;Xiantu He;Shiyi Chen
Jianchun Wang;Yantao Yang;Yipeng Shi;Zuoli Xiao;Xiantu He;Shiyi Chen
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Jianchun Wang;Yantao Yang;Yipeng Shi;Zuoli Xiao;Xiantu He;Shiyi Chen

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在模拟的可压缩湍流中,利用傅立叶分析和一个新的精确的物理空间通量关系建立了保守的动能级联。在惯性范围内,压缩模式的亚网格尺度(SGS)动能通量明显大于螺线管模式,这是可压缩湍流能谱出现Kolmogorov-5/3标度的主要物理原因.大尺度应变和SGS应力之间的完美反平行排列导致激波区域中的高效动能传递,这是激波结构与涡旋结构相比的显著特征。重新标度的SGS动能通量的概率分布函数在惯性范围内崩溃,表明动能级联的统计自相似性。
The conservative cascade of kinetic energy is established using both Fourier analysis and a new exact physical-space flux relation in a simulated compressible turbulence. The subgrid scale (SGS) kinetic energy flux of the compressive mode is found to be significantly larger than that of the solenoidal mode in the inertial range, which is the main physical origin for the occurrence of Kolmogorov's -5/3 scaling of the energy spectrum in compressible turbulence. The perfect antiparallel alignment between the large-scale strain and the SGS stress leads to highly efficient kinetic energy transfer in shock regions, which is a distinctive feature of shock structures in comparison with vortex structures. The rescaled probability distribution functions of SGS kinetic energy flux collapse in the inertial range, indicating a statistical self-similarity of kinetic energy cascades.