Diffusion and Dispersion of Passive Tracers in Navier-Stokes and MHD Turbulence

Physics – Geophysics

Scientific paper

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4400 Nonlinear Geophysics (3200, 6944, 7839), 4430 Complex Systems, 4475 Scaling: Spatial And Temporal (1872, 3270, 4277), 4499 General Or Miscellaneous

Scientific paper

The diffusive effects of hydrodynamic and magnetohydrodynamic turbulence are studied from the Lagrangian viewpoint by following tracer particles in high-resolution direct numerical simulations. A comparison of the magnetohydrodynamic with the hydrodynamic case reveals significant differences in the two-particle relative dispersion. Due to the alignment of the Lagrangian tracer velocity with the local magnetic field the relative dispersion is slowed down for τ_d \stackrel{<}{~ } t \stackrel{<}{~} 10 τ_d in the magnetohydrodynamic case, τ_d being the Kolmogorov time. Furthermore the fluid particle trajectories in the vicinity of the smallest dissipative structures are found to be characteristically different.
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