On an accurate α model for coarse mesh turbulent channel flow simulation

Leo G. Rebholz, Tae Yeon Kim, Young Ji Byon

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We present an analytical and numerical study of the reduced NS-α (rNS-α) model of incompressible fluid flow, which was recently proposed as an approximation to NS-α that allows for more efficient computations in the C0 finite element setting. Our analytical study consists of establishing connections between rNS-α to some well-studied models, and determining the model's integral invariants, energy cascade, and energy dissipation rate. Numerical simulations of turbulent flows with coarse meshes are performed, and excellent results found, for forced homogeneous, isotropic turbulence, and for turbulent channel flow with friction Reynolds numbers Reτ = 395, 590, and 1000.

Original languageBritish English
Pages (from-to)139-154
Number of pages16
JournalApplied Mathematical Modelling
StatePublished - 1 Mar 2017


  • Energy analysis
  • Energy spectra
  • NS-α
  • Splitting method
  • Turbulence
  • Turbulence channel flow


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