期刊
PHYSICAL REVIEW FLUIDS
卷 2, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevFluids.2.084609
关键词
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资金
- National Natural Science Foundation of China [11302238, 11232011, 11572331, 11490551]
- Strategic Priority Research Program [XDB22040104]
- Key Research Program of Frontier Sciences of the Chinese Academy of Sciences [QYZDJ-SSW-SYS002]
- National Basic Research Program of China (973 Program) [2013CB834100]
An energy spectrum is preliminarily characterized by its mean and standard deviation. In this study, we derive exact expressions for the means and bandwidths of space-time energy spectra at fixed frequencies. The mean wave numbers are used to determine the phase velocities that bridge from temporal spectra to space-time spectra. The bandwidths are used to measure the well-known spectral broadening. We show that phase velocities alone are insufficient to determine the bandwidths of energy spectra. As a result, the cross-spectral method predicts narrower bandwidths of energy spectra. Therefore, in addition to phase velocities, amplitudes are used to rescale the space-time energy spectra, leading to the correct bandwidths. Existing data from direct numerical simulations of turbulent channel flows validate the rescaling approach.
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