Small-Scale Structures in Three-Dimensional Magnetohydrodynamic Turbulence

Details Small-Scale Structures in Three-Dimensional Magnetohydrodynamic Turbulence Small-Scale Structures in Three-Dimensional Magnetohydrodynamic Turbulence

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006agufmsh14a..04m&link_type=abstract

American Geophysical Union, Fall Meeting 2006, abstract #SH14A-04

Physics

4445 Nonlinear Differential Equations, 4490 Turbulence (3379, 4568, 7863), 7526 Magnetic Reconnection (2723, 7835)

Scientific paper

We investigate using direct numerical simulations with grids up to 15363 points the rate at which small scales develop in a decaying three-dimensional MHD flow both for deterministic and random initial conditions at a unit magnetic Prandtl number. Parallel current and vorticity sheets form at the same spatial locations, and further destabilize and fold or roll-up after an initial exponential phase. A self-similar evolution of the current and vorticity maxima is found, in which they grow as a cubic power of time; the flow then reaches a finite dissipation rate independent of Reynolds number. A Kelvin-Helmoltz instability of current and vorticity sheets is seen only at the highest Reynolds number.

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