Modeling of Strong MHD Turbulence

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Intermittency in fully turbulent hydro- and magnetohydrodynamic flows is still a fascinating but unsolved problem. Recently, remarkable progress has been achieved in a model system of turbulence, the so-called Burgers turbulence. The most striking feature is that the tails of the probability distribution of velocity increments could be calculated using information of the pre-shocks present in the flow. The situation is expected to be similar in the Navier-Stokes and MHD equations, where vortex tubes or current sheets may substitute the role of pre-shocks of the Burgers equation. Numerical simulations using structured adaptive mesh refinement are presented to study the evolution of the singular structures in ideal equations without dissipation.

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