2002/02/27 by Bernard J. Geurts, Darryl D. Holm, Geurts, Bernard J. +1
Earth and Planetary Sciences · Engineering · #Chaotic Dynamics (nlin.CD) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.nlin/0202062
openalex publication_date 2002/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider so-called Leray regularization of the convective contributions. This gives rise to a subgrid parameterization which involves both explicit filtering and (approximate) inversion. The Leray model also arises from the alpha-modeling strategy derived via Kelvin's circulation theorem. We study the dynamics associated with the Leray model in a turbulent mixing layer and compare predictions with filtered DNS results and findings due to dynamic (mixed) models. In particular, the kinetic energy, momentum thickness and energy-spectra are analyzed, establishing favorable performance of the Leray model and robustness at arbitrarily high Reynolds number. This is unique for a similarity-type model that does not contain an explicit eddy-viscosity term.