A numerical study of the Navier-Stokes-alpha beta model

作者：Kim Tae Yeon; Neda Monika; Rebholz Leo G^*; Fried Eliot

来源：Computer Methods in Applied Mechanics and Engineering, 2011, 200(41-44): 2891-2902.

DOI：10.1016/j.cma.2011.05.011

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

We present a numerical study of the NS-alpha beta model, which is a recently proposed multiscale variation of the NS-alpha 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-alpha model to capture smaller-scale behavior. Next, we propose and study an unconditionally stable, optimally accurate, and efficient finite-element implementation for the NS-alpha beta model; rigorous proofs for stability and convergence are provided. Finally, we present results from two numerical experiments that demonstrate the advantages of the NS-alpha beta model over the NS-alpha model.

• 出版日期2011