Characteristics of space-time energy spectra in turbulent channel flows

Autor: Chunxiao Xu, Chenhui Geng, Ting Wu, Yichen Yao, Guowei He
Rok vydání: 2017
Předmět:
Zdroj: Physical Review Fluids. 2
ISSN: 2469-990X
DOI: 10.1103/physrevfluids.2.084609
Popis: 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.
Databáze: OpenAIRE