Journal article

Pressure and spanwise velocity fluctuations in turbulent channel flows: Logarithmic behavior of moments and coherent structures

Ali Mehrez, Jimmy Philip, Yoshinobu Yamamoto, Yoshiyuki Tsuji

Physical Review Fluids | American Physical Society | Published : 2019


We study the logarithmic behavior of the pressure variance (p+2) from the datasets obtained from direct numerical simulations of turbulent channel flow for friction Reynolds number Reτ up to 4000. The higher-order moments of p were found to follow logarithmic behaviors at the same distances from the wall where (p+2) shows its log profile. The same results have been confirmed for the spanwise velocity fluctuations w at the same Reynolds numbers, with both p and w following a super-Gaussian behavior. The minimum Reynolds number for (p+2) and (w+2) log profiles to appear is Reτ≈500, where flow structures O(h) or less were found to significantly contribute to these profiles. The configuration of..

View full abstract

University of Melbourne Researchers


Awarded by Tohoku University through the HPCI System Research project

Awarded by Japan Society for the Promotion of Science

Awarded by Australian Research Council

Funding Acknowledgements

This research used computational resources of the SX-ACE provided by Tohoku University through the HPCI System Research project (Project No. hp170195), and the Earth Simulator Proposed Research Projects of Japan Agency for Marine-Earth Science and Technology (JAMSTEC). Financial support from Japan Society for the Promotion of Science (B) Grant No. 15H03917 is gratefully acknowledged. J.P. also acknowledges financial support from the Australian Research Council.