Two-dimensional coherence spectra and their prediction using a linear Navier-Stokes based model

Recent studies of one-dimensional coherence spectra in turbulent boundary layers has helped in understanding the structure of wall-turbulence further [Baars et al., 2016, 2017]. In the present work we study these coherence spectra in further detail in two parts. First, we study the trends in the two-dimensional coherence spectra in a turbulent channel, following the analysis of Jim\'{e}nez et al. [2004] that considers the coherence of structures within the buffer layer. And secondly, this study focuses on the prediction of this coherence spectrum using a linear Navier-Stokes based model.\\ References:\\ W. J. Baars, N. Hutchins, and I. Marusic. Spectral stochastic estimation of high-reynolds-number wall-bounded turbulence for a refined inner-outer interaction model. Physical Review Fluids, 1(5):054406, 2016.\\ W. J. Baars, N. Hutchins, and I. Marusic. Self-similarity of wall-attached turbulence in boundary layers. Journal of Fluid Mechanics, 823, 2017.\\ J. Jim\'{e}nez, J. C. Del Alamo, and O. Flores. The large-scale dynamics of near-wall turbulence. Journal of Fluid Mechanics, 505:179–199, 2004.\\