Energy transfer and intermittency in four-dimensional turbulence
Energy transfer and intermittency in four-dimensional turbulence
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DOI：
10.1063/1.2001692
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发表时间：
2005-08-01
影响因子：
4.6
通讯作者：
Gotoh, T
中科院分区：
文献类型：
--
作者：
Suzuki, E;Nakano, T;Gotoh, T
用直接数值模拟和谱理论研究了四维衰减湍流中的能量传递和小尺度不稳定性。结果表明：（1）在四维空间中，纵向三阶结构函数满足1/2定律-（1/2）π r;（2）四维空间中的能量传递比三维空间中的能量传递更有效;（3）四维空间中的Kolmogorov常数K-4=1.28比三维空间中的K-3=1.72小;（4）速度梯度的不连续性比三维的强;（5）总能量耗散率的不连续性比三维的小。（4）和（5）中相互矛盾的趋势可以用随着维数的增加对流项和压力项之间的平衡的变化来解释。(c)2005年美国物理学会。
The energy transfer and small scale intermittency in decaying turbulence in four dimensions are studied by direct numerical simulation and by spectral theory. It is found that (1) a 1/2 law, -(1/2)epsilon r, in four dimensional (4D) for the longitudinal third-order structure function holds, (2) the energy transfer in 4D is more efficient than in three dimensional (3D), (3) the Kolmogorov constant in 4D is K-4=1.28 which is smaller than K-3=1.72 in 3D, (4) the velocity gradient intermittency is stronger than in 3D, while (5) the total-energy dissipation rate in 4D is less intermittent than in 3D. The conflicting trends in (4) and (5) are explained by the changes in the balance between the convective and pressure terms as the dimension increases. (c) 2005 American Institute of Physics.