A numerical study of the Navier-Stokes-αβ model

Tae Yeon Kim, Monika Neda, Leo G. Rebholz, Eliot Fried

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


We present a numerical study of the NS-αβ model, which is a recently proposed multiscale variation of the NS-α model that attempts to recapture scales lost through over-regularization by separately modeling dissipation-range scales. We develop a similarity theory for the new model which shows that it is better equipped than the NS-α model to capture smaller-scale behavior. Next, we propose and study an unconditionally stable, optimally accurate, and efficient finite-element implementation for the NS-αβ model; rigorous proofs for stability and convergence are provided. Finally, we present results from two numerical experiments that demonstrate the advantages of the NS-αβ model over the NS-α model.

Original languageBritish English
Pages (from-to)2891-2902
Number of pages12
JournalComputer Methods in Applied Mechanics and Engineering
Issue number41-44
StatePublished - 1 Oct 2011


  • Finite element method
  • Navier-Stokes-alpha
  • Navier-Stokes-alpha-beta
  • Regularization model
  • Similarity theory


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