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A lattice Boltzmann study of non-hydrodynamic effects in shell models of turbulence

2004/06/07 by Roberto Benzi, R. Benzi, L. Biferale +6
Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Lattice Boltzmann Simulation Studies #nlin.CD #physics.flu-dyn

paper · pdf · doi:10.1016/j.physd.2004.07.004

published as Physica D 197 3-4 (2004) 303-312 · 17 pages, 3 figures, submitted to Physica D

arxiv created 2004/06/07 · openalex publication_date 2004/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A lattice Boltzmann scheme simulating the dynamics of shell models of turbulence is developed. The influence of high order kinetic modes (ghosts) on the dissipative properties of turbulence dynamics is studied. It is analytically found that when ghost fields relax on the same time scale as the hydrodynamic ones, their major effect is a net enhancement of the fluid viscosity. The bare fluid viscosity is recovered by letting ghost fields evolve on a much longer time scale. Analytical results are borne out by high-resolution numerical simulations. These simulations indicate that the hydrodynamic manifold is very robust towards large fluctuations of non hydrodynamic fields.

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