Related Experiment Video
Updated: Aug 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Cancellation exponent and multifractal structure in two-dimensional magnetohydrodynamics: direct numerical
Jonathan Pietarila Graham1, Pablo D Mininni, Annick Pouquet
1National Center for Atmospheric Research, P.O. Box 3000, Boulder, Colorado 80307, USA.
Abstract:
We present direct numerical simulations and Lagrangian averaged (also known as alpha model) simulations of forced and free decaying magnetohydrodynamic turbulence in two dimensions. The statistics of sign cancellations of the current at small scales is studied using both the cancellation exponent and the fractal dimension of the structures. The alpha model is found to have the same scaling behavior between positive and negative contributions as the direct numerical simulations. The alpha model is also able to reproduce the time evolution of these quantities in free decaying turbulence. At large Reynolds numbers, an independence of the cancellation exponent with the Reynolds numbers is observed.
Related Concept Videos
Magnetostatic Boundary Conditions
Divergence and Curl of Magnetic Field
Scaling
Dimensionless Groups in Fluid Mechanics
Differential Form of Maxwell's Equations
Poisson's And Laplace's Equation