A coarse-grained LES model for turbulent channel flow

N. Hu; H. Liu; Z. S. She; F. Hussain

doi:10.1063/1.3651835

A coarse-grained LES model for turbulent channel flow

N. Hu, H. Liu, Z. S. She, F. Hussain

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A hybrid RANS-LES method based on structural ensemble dynamics (SED) theory is presented, wherein coarse-grained turbulent fluctuation amplitudes are re-normalized using instantaneous values of an order function, i.e. mixing length, in the ensemble-averaged Navier-Stokes (EANS) equation. The re-normalization procedure is applied throughout the channel (at wall friction Reynolds numbers Re_τ=1 050 and 2 000), to evade the common problem of log-layer mismatch. The mean and rms velocity profiles show improved agreement with DNS at very coarse grids (40×49×20 for both Re's). The method dissipates turbulent kinetic energy in the bulk flow, and increases turbulent fluctuations in the buffer region, mimicking the physical forcing of the sub-grid scale term. The results demonstrate the feasibility to reconstruct the unsteady effect of wall-bounded flows constrained by order functions.

Original language	English (US)
Title of host publication	Recent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI
Pages	61-65
Number of pages	5
Volume	1376
DOIs	https://doi.org/10.1063/1.3651835
State	Published - Nov 8 2011
Event	Proceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI - Guangzhou, China Duration: Jun 30 2011 → Jul 3 2011

Other

Other	Proceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI
Country	China
City	Guangzhou
Period	6/30/11 → 7/3/11

Keywords

channel
hybrid RANS/LES method
large eddy simulation
order functions
structural ensemble dynamics

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1063/1.3651835

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Hu, N, Liu, H, She, ZS & Hussain, F 2011, A coarse-grained LES model for turbulent channel flow. in Recent Progresses in Fluid Dynamics Research - Proceedings of the Sixth International Conference on Fluid Mechanics, ICFM VI. vol. 1376, pp. 61-65, Proceedings of the 6th International Conference on Fluid Mechanics: Recent Progresses in Fluid Dynamics Research, ICFM VI, Guangzhou, China, 6/30/11. https://doi.org/10.1063/1.3651835

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title = "A coarse-grained LES model for turbulent channel flow",

abstract = "A hybrid RANS-LES method based on structural ensemble dynamics (SED) theory is presented, wherein coarse-grained turbulent fluctuation amplitudes are re-normalized using instantaneous values of an order function, i.e. mixing length, in the ensemble-averaged Navier-Stokes (EANS) equation. The re-normalization procedure is applied throughout the channel (at wall friction Reynolds numbers Reτ=1 050 and 2 000), to evade the common problem of log-layer mismatch. The mean and rms velocity profiles show improved agreement with DNS at very coarse grids (40×49×20 for both Re's). The method dissipates turbulent kinetic energy in the bulk flow, and increases turbulent fluctuations in the buffer region, mimicking the physical forcing of the sub-grid scale term. The results demonstrate the feasibility to reconstruct the unsteady effect of wall-bounded flows constrained by order functions.",

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AU - Hu, N.

AU - Liu, H.

AU - She, Z. S.

AU - Hussain, F.

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Y1 - 2011/11/8

N2 - A hybrid RANS-LES method based on structural ensemble dynamics (SED) theory is presented, wherein coarse-grained turbulent fluctuation amplitudes are re-normalized using instantaneous values of an order function, i.e. mixing length, in the ensemble-averaged Navier-Stokes (EANS) equation. The re-normalization procedure is applied throughout the channel (at wall friction Reynolds numbers Reτ=1 050 and 2 000), to evade the common problem of log-layer mismatch. The mean and rms velocity profiles show improved agreement with DNS at very coarse grids (40×49×20 for both Re's). The method dissipates turbulent kinetic energy in the bulk flow, and increases turbulent fluctuations in the buffer region, mimicking the physical forcing of the sub-grid scale term. The results demonstrate the feasibility to reconstruct the unsteady effect of wall-bounded flows constrained by order functions.

AB - A hybrid RANS-LES method based on structural ensemble dynamics (SED) theory is presented, wherein coarse-grained turbulent fluctuation amplitudes are re-normalized using instantaneous values of an order function, i.e. mixing length, in the ensemble-averaged Navier-Stokes (EANS) equation. The re-normalization procedure is applied throughout the channel (at wall friction Reynolds numbers Reτ=1 050 and 2 000), to evade the common problem of log-layer mismatch. The mean and rms velocity profiles show improved agreement with DNS at very coarse grids (40×49×20 for both Re's). The method dissipates turbulent kinetic energy in the bulk flow, and increases turbulent fluctuations in the buffer region, mimicking the physical forcing of the sub-grid scale term. The results demonstrate the feasibility to reconstruct the unsteady effect of wall-bounded flows constrained by order functions.

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KW - hybrid RANS/LES method

KW - large eddy simulation

KW - order functions

KW - structural ensemble dynamics

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Y2 - 30 June 2011 through 3 July 2011

ER -

A coarse-grained LES model for turbulent channel flow

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