Analysis of wall-pressure fluctuation sources from DNS of turbulent channel flow. (arXiv:1911.08534v1 [physics.flu-dyn])
The sources of wall-pressure fluctuation in turbulent channel flow are studied using a novel framework. The wall-pressure power spectral density (PSD) $(\phi_{pp}(\omega))$ is expressed as an integrated contribution from all wall-parallel plane pairs, $\phi_{pp}(\omega)=\int_{-1}^{+1}\int_{-1}^{+1}\Gamma(r,s,\omega)\,\mathrm{dr}\,\mathrm{ds}$, using the Green’s function. $\Gamma(r,s,\omega)$ is termed the net source cross spectral density (CSD) between two wall-parallel planes, $y=r$ and $y=s$.…