zbMATH — the first resource for mathematics

Prediction of near-wall turbulence using minimal flow unit. (English) Zbl 1419.76336
Summary: In the present study, direct numerical simulation (DNS) is carried out in a minimal channel at \(Re_\tau=2000\) to sustain healthy turbulence below \(y^+=100\). Turbulence intensities are compared with those of the motions at the same scales as the minimal channel in the full-sized channel at \(Re_\tau=2003\) [S. Hoyas and J. Jiménez, Phys. Fluids 20, No. 10, Paper No. 101511, 8 p. (2008; Zbl 1182.76330)]. They show good agreement in \(y^+<100\). The universal signals for the three velocity components similar to that in the predictive model of I. Marusic et al. [Science 329, No. 5988, 193–196 (2010; Zbl 1226.76015)] are extracted from the DNS data of the full-sized channel. They correspond well to the near-wall velocity fluctuations in the minimal flow unit (MFU). The predictive models for the three components of near-wall velocity fluctuations are proposed based on the MFU data. The predicted turbulence intensities as well as the joint probability density functions of velocity fluctuations agree well with the DNS results of the full-sized channel turbulence.

76F40 Turbulent boundary layers
76F65 Direct numerical and large eddy simulation of turbulence
76F05 Isotropic turbulence; homogeneous turbulence
76F10 Shear flows and turbulence
Full Text: DOI
[1] Agostini, L.; Leschziner, M., Predicting the response of small-scale near-wall turbulence to large-scale outer motions, Phys. Fluids, 28, 1, (2016)
[2] Agostini, L.; Leschziner, M., On the validity of the quasi-steady-turbulence hypothesis in representing the effects of large scales on small scales in boundary layers, Phys. Fluids, 28, 4, 045102, (2016)
[3] Agostini, L.; Leschziner, M. A., On the influence of outer large-scale structures on near-wall turbulence in channel flow, Phys. Fluids, 26, 7, (2014)
[4] Agostini, L.; Leschziner, M.; Gaitonde, D., Skewness-induced asymmetric modulation of small-scale turbulence by large-scale structures, Phys. Fluids, 28, 1, 015110, (2016)
[5] Del Álamo, J. C.; Jiménez, J., Spectra of the very large anisotropic scales in turbulent channels, Phys. Fluids, 15, 6, L41, (2003) · Zbl 1186.76136
[6] Baars, W. J.; Hutchins, N.; Marusic, I., Spectral stochastic estimation of high-Reynolds-number wall-bounded turbulence for a refined inner – outer interaction model, Phys. Rev. Fluids, 1, 5, (2016)
[7] Balakumar, B. J.; Adrian, R. J., Large- and very-large-scale motions in channel and boundary-layer flows, Phil. Trans. R. Soc. Lond. A, 365, 1852, 665-681, (2007) · Zbl 1152.76369
[8] Chernyshenko, S. I., Marusic, I. & Mathis, R.2012 Quasi-steady description of modulation effects in wall turbulence. arXiv:1203.
[9] Deng, B. Q.; Xu, C. X., Influence of active control on STG-based generation of streamwise vortices in near-wall turbulence, J. Fluid Mech., 710, 234-259, (2012) · Zbl 1275.76150
[10] Flores, O.; Jiménez, J., Hierarchy of minimal flow units in the logarithmic layer, Phys. Fluids, 22, 7, (2010)
[11] Ganapathisubramani, B.; Hutchins, N.; Monty, J. P.; Chung, D.; Marusic, I., Amplitude and frequency modulation in wall turbulence, J. Fluid Mech., 712, 61-91, (2012) · Zbl 1275.76138
[12] Garcia-Mayoral, R., Pierce, B. & Wallace, J. M.2013Off-wall boundary conditions for turbulent simulations from minimal flow units in transitional boundary layers. In TSFP Digital Library Online. Begel House.
[13] De Giovanetti, M.; Hwang, Y.; Choi, H., Skin-friction generation by attached eddies in turbulent channel flow, J. Fluid Mech., 808, 511-538, (2016) · Zbl 1383.76256
[14] Hamilton, J. M.; Kim, J.; Waleffe, F., Regeneration mechanisms of near-wall turbulence structures, J. Fluid Mech., 287, 317-348, (1995) · Zbl 0867.76032
[15] Hoyas, S.; Jiménez, J., Scaling of the velocity fluctuations in turbulent channels up to Re_𝜏 = 2003, Phys. Fluids, 18, 1, (2006)
[16] Hoyas, S.; Jiménez, J., Reynolds number effects on the Reynolds-stress budgets in turbulent channels, Phys. Fluids, 20, 10, (2008) · Zbl 1182.76330
[17] Hutchins, N.; Marusic, I., Large-scale influences in near-wall turbulence, Phil. Trans. R. Soc. Lond. A, 365, 1852, 647-664, (2007) · Zbl 1152.76421
[18] Hwang, J.; Lee, J.; Sung, H. J.; Zaki, T. A., Inner – outer interactions of large-scale structures in turbulent channel flow, J. Fluid Mech., 790, 128-157, (2016) · Zbl 1382.76124
[19] Hwang, Y., Near-wall turbulent fluctuations in the absence of wide outer motions, J. Fluid Mech., 723, 264-288, (2013) · Zbl 1287.76134
[20] Hwang, Y., Statistical structure of self-sustaining attached eddies in turbulent channel flow, J. Fluid Mech., 767, 254-289, (2015)
[21] Hwang, Y.; Cossu, C., Self-sustained process at large scales in turbulent channel flow, Phys. Rev. Lett., 105, 4, (2010)
[22] Hwang, Y.; Cossu, C., Self-sustained processes in the logarithmic layer of turbulent channel flows, Phys. Fluids, 23, 6, (2011) · Zbl 1308.76147
[23] Jiménez, J.; Hoyas, S., Turbulent fluctuations above the buffer layer of wall-bounded flows, J. Fluid Mech., 611, 215-236, (2008) · Zbl 1151.76512
[24] Jiménez, J.; Moin, P., The minimal flow unit in near-wall turbulence, J. Fluid Mech., 225, 213-240, (1991) · Zbl 0721.76040
[25] Jiménez, J.; Pinelli, A., The autonomous cycle of near-wall turbulence, J. Fluid Mech., 389, 335-359, (1999) · Zbl 0948.76025
[26] Karniadakis, G. E.; Israeli, M.; Orszag, S. A., High-order splitting methods for the incompressible Navier-Stokes equations, J. Comput. Phys., 97, 2, 414-443, (1991) · Zbl 0738.76050
[27] Kim, J.; Moin, P.; Moser, R., Turbulence statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech., 177, 133-166, (1987) · Zbl 0616.76071
[28] Kim, K. C.; Adrian, R. J., Very large-scale motion in the outer layer, Phys. Fluids, 11, 2, 417-422, (1999) · Zbl 1147.76430
[29] Marusic, I.; Baars, W. J.; Hutchins, N., An extended view of the inner – outer interaction model for wall-bounded turbulence using spectral linear stochastic estimation, Procedia Engng., 126, 24-28, (2015)
[30] Marusic, I.; Mathis, R.; Hutchins, N., Predictive model for wall-bounded turbulent flow, Science, 329, 5988, 193-196, (2010) · Zbl 1226.76015
[31] Mathis, R.; Hutchins, N.; Marusic, I., Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers, J. Fluid Mech., 628, 311-337, (2009) · Zbl 1181.76008
[32] Mathis, R.; Hutchins, N.; Marusic, I., A predictive inner – outer model for streamwise turbulence statistics in wall-bounded flows, J. Fluid Mech., 681, 537-566, (2011) · Zbl 1241.76296
[33] Mathis, R.; Marusic, I.; Chernyshenko, S. I.; Hutchins, N., Estimating wall-shear-stress fluctuations given an outer region input, J. Fluid Mech., 715, 163, (2013) · Zbl 1284.76207
[34] Mathis, R.; Marusic, I.; Hutchins, N.; Sreenivasan, K. R., The relationship between the velocity skewness and the amplitude modulation of the small scale by the large scale in turbulent boundary layers, Phys. Fluids, 23, 12, (2011)
[35] Mizuno, Y.; Jiménez, J., Wall turbulence without walls, J. Fluid Mech., 723, 429-455, (2013) · Zbl 1287.76137
[36] Perry, A. E.; Chong, M. S., On the mechanism of wall turbulence, J. Fluid Mech., 119, 173-217, (1982) · Zbl 0517.76057
[37] Sillero, J. A.; Jiménez, J.; Moser, R. D., Two-point statistics for turbulent boundary layers and channels at Reynolds numbers up to 𝛿+ ≈ 2000, Phys. Fluids, 26, 10, (2014)
[38] Squire, D. T.; Baars, W. J.; Hutchins, N.; Marusic, I., Inner – outer interactions in rough-wall turbulence, J. Turbulence, 17, 12, 1159-1178, (2016)
[39] Talluru, K. M.; Baidya, R.; Hutchins, N.; Marusic, I., Amplitude modulation of all three velocity components in turbulent boundary layers, J. Fluid Mech., 746, R1, (2014) · Zbl 1416.76065
[40] Townsend, A. A., The Structure of Turbulent Shear Flow, (1976), Cambridge University Press · Zbl 0325.76063
[41] Tuerke, F.; Jiménez, J., Simulations of turbulent channels with prescribed velocity profiles, J. Fluid Mech., 723, 587-603, (2013) · Zbl 1287.76140
[42] Woodcock, J. D.; Marusic, I., The statistical behaviour of attached eddies, Phys. Fluids, 27, 1, (2015)
[43] Yin, G.; Huang, W. X.; Xu, C. X., On near-wall turbulence in minimal flow units, Intl J. Heat Fluid Flow, 65, 192-199, (2017)
[44] Yoon, M.; Hwang, J.; Lee, J.; Sung, H. J.; Kim, J., Large-scale motions in a turbulent channel flow with the slip boundary condition, Intl J. Heat Fluid Flow, 61, 96-107, (2016)
[45] Zhang, C.; Chernyshenko, S. I., Quasisteady quasihomogeneous description of the scale interactions in near-wall turbulence, Phys. Rev. Fluids, 1, 1, (2016)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.