Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2004-06-07
Physica D 197 3-4 (2004) 303-312
Nonlinear Sciences
Chaotic Dynamics
17 pages, 3 figures, submitted to Physica D
Scientific paper
10.1016/j.physd.2004.07.004
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.
Benzi Roberto
Biferale Luca
Sbragaglia Mauro
Succi Sauro
Toschi Federico
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