Physical Review Letters
Department of Physics and Astronomy
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. 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.
Mininni PD, Pouquet AG, Montgomery DC. Small-scale structures in three-dimensional magnetohydrodynamic turbulence. Phys Rev Lett. 2006 Dec 15;97(24):244503. doi: 10.1103/PhysRevLett.97.244503. Epub 2006 Dec 14. PMID: 17280293.
Dartmouth Digital Commons Citation
Mininni, P. D.; Pouquet, A. G.; and Montgomery, D. C., "Small-Scale Structures in Three-Dimensional Magnetohydrodynamic Turbulence" (2006). Dartmouth Scholarship. 3272.