Coherent structure extraction in turbulent channel flow using boundary adapted wavelets
Abstract
We present a construction of isotropic boundary adapted wavelets, which are orthogonal and yield a multi-resolution analysis. We analyze direct numerical simulation data of turbulent channel flow computed at a friction Reynolds number of 395, and investigate the role of coherent vorticity. Thresholding of the vorticity wavelet coefficients allows to split the flow into two parts, coherent and incoherent vorticity. The coherent vorticity is reconstructed from their few intense wavelet coefficients. The statistics of the coherent part, i.e., energy and enstrophy spectra, are close to the statistics of the total flow, and moreover, the nonlinear energy budgets are very well preserved. The remaining incoherent part, represented by the large majority of the weak wavelet coefficients, corresponds to a structureless, i.e., noise-like, background flow whose energy is equidistributed.
Keywords
Cite
@article{arxiv.1607.04621,
title = {Coherent structure extraction in turbulent channel flow using boundary adapted wavelets},
author = {Teluo Sakurai and Katsunori Yoshimatsu and Kai Schneider and Marie Farge and Koji Morishita and Takashi Ishihara},
journal= {arXiv preprint arXiv:1607.04621},
year = {2017}
}