Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box

Energy dissipation rate and energy spectrum in high resolution direct numerical simulations of turbulence in a periodic box
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DOI:
10.1063/1.1539855
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发表时间:
2003-02-01
期刊:
影响因子:
4.6
通讯作者:
Uno, A
Uno, A
中科院分区:
工程技术2区
文献类型:
--
作者:
Kaneda, Y;Ishihara, T;Uno, A

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在地球模拟器计算系统上,对具有多达4096(3)个网格点的周期盒内不可压缩均匀湍流进行了高分辨率直接数值模拟。包括本结果在内的dns数据库表明,归一化平均单位质量能量耗散率趋于一个常数,与流体运动粘度nu无关,为nu->0。结果还表明,惯性子区的能谱几乎遵循Kolmogorov k(-5/3)标度律,其中k是波数,但指数比-5/3陡峭约0.1。(C)2003年美国物理研究所。
High-resolution direct numerical simulations (DNSs) of incompressible homogeneous turbulence in a periodic box with up to 4096(3) grid points were performed on the Earth Simulator computing system. DNS databases, including the present results, suggest that the normalized mean energy dissipation rate per unit mass tends to a constant, independent of the fluid kinematic viscosity nu as nu-->0. The DNS results also suggest that the energy spectrum in the inertial subrange almost follows the Kolmogorov k(-5/3) scaling law, where k is the wavenumber, but the exponent is steeper than -5/3 by about 0.1. (C) 2003 American Institute of Physics.