Small-Scale Structures in Three-Dimensional Magnetohydrodynamic Turbulence
- 14 December 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 97 (24), 244503
- https://doi.org/10.1103/physrevlett.97.244503
Abstract
We investigate using direct numerical simulations with grids up to points, the rate at which small scales develop in a decaying three-dimensional MHD flow both for deterministic and random initial conditions. Parallel current and vorticity sheets form at the same spatial locations, and further destabilize and fold or roll up after an initial exponential phase. At high Reynolds numbers, 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 the Reynolds number.
This publication has 21 references indexed in Scilit:
- Velocity and scaling of collapsing Euler vorticesPhysics of Fluids, 2005
- The Kelvin–Helmholtz instability, differential rotation, and three-dimensional, localized, magnetic reconnectionPhysics of Plasmas, 2002
- Current-Sheet Formation in 3D Ideal Incompressible MagnetohydrodynamicsPhysical Review Letters, 2000
- Evidence for a Singularity in Ideal Magnetohydrodynamics: Implications for Fast ReconnectionPhysical Review Letters, 1999
- Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHDCommunications in Mathematical Physics, 1997
- Ion Acceleration and Direct Ion Heating in Three-Component Magnetic ReconnectionPhysical Review Letters, 1996
- Current and vorticity dynamics in three-dimensional magnetohydrodynamic turbulencePhysics of Plasmas, 1995
- Geometrical properties of three‐dimensional reconnecting magnetic fields with nullsJournal of Geophysical Research, 1988
- Remarks on the breakdown of smooth solutions for the 3-D Euler equationsCommunications in Mathematical Physics, 1984
- Resistivity and Energy Flow in a Plasma Undergoing Magnetic-Field-Line ReconnectionPhysical Review Letters, 1981