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We investigate the physical role of various scale-similarity models in thestabilized mixed model [K. Abe, Int. J. Heat Fluid Flow, 39, 42 (2013); M.Inagaki and K. Abe, Int. J. Heat Fluid Flow, 64, 137 (2017)] and evaluate theirperformance in turbulent channel flows. Among various models in the presentstudy, the original model combined with the scale-similarity model for thesubgrid-scale (SGS)-Reynolds term yields the best prediction for the anisotropyof the grid-scale (GS) velocity fluctuations and the SGS stress, even in coarsegrid resolutions. Moreover, it successfully predicts large intensities of thespectra close to the cut-off scale in accordance with the filtered directnumerical simulation, whereas other models predict a rapid decay of the spectrain the low-wavelength region. To investigate the behavior of the models closeto the cut-off scale, we analyze the budget equation for the GS Reynolds stressspectrum. The result shows that the scale-similarity model for the SGS-Reynoldsterm plays a role in the enhancement of the wall-normal velocity fluctuationclose to the cut-off scale. Thereby, it activates turbulence close to thecut-off scale, leading to a reproduction of the proper streak structuresobserved in wall-bounded turbulent flows. The reproduction of velocityfluctuations close to the cut-off scale and turbulent structures is a keyelement for further development of SGS models.

Role of various scale-similarity models in stabilized mixed subgrid-scale model