On inertial-range scaling laws

On inertial-range scaling laws
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关于惯性范围标度定律

DOI:
10.1017/s0022112096001279
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发表时间:
1994
影响因子:
3.7
通讯作者:
J. Bowman
J. Bowman
中科院分区:
工程技术2区
文献类型:
--
作者:
J. Bowman

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在一个统一的框架内重新研究了二维和三维湍流的惯性范围标度定律。对于能量惯性范围,导出了对Kolmogorov的k−5/3标度的新修正。对Kraichnan对数修正的二维熵范围定律进行了相应的修正,消除了其在注入波数处的意外发散。这些修正的意义用最近高分辨率闭合计算的稳态能谱来说明。讨论了传统数值模拟的意义。这些结果强调了惯性范围标度律的渐近性质。
Inertial-range scaling laws for two- and three-dimensional turbulence are re-examined within a unified framework. A new correction to Kolmogorov's k−5/3 scaling is derived for the energy inertial range. A related modification is found to Kraichnan's logarithmically corrected two-dimensional enstrophy-range law that removes its unexpected divergence at the injection wavenumber. The significance of these corrections is illustrated with steady-state energy spectra from recent high-resolution closure computations. Implications for conventional numerical simulations are discussed. These results underscore the asymptotic nature of inertial-range scaling laws.
DOI: --
发表时间: 2007
期刊: Journal of the Physical Society of Japan 76(7)
影响因子: --
作者:
Mukougawa;H.;et al.;Y. Kaneda and K. Morishita
通讯作者: Y. Kaneda and K. Morishita