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Classes of hydrodynamic and magnetohydrodynamic turbulent decay

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arxiv 1607.01360 v3 pith:OXAFYXSY submitted 2016-07-04 physics.flu-dyn astro-ph.COastro-ph.SR

Axel Brandenburg , Tina Kahniashvili This is my paper · ORCID
classification physics.flu-dynastro-ph.COastro-ph.SR
keywords solutionsalongclasseshydrodynamicinitialmagnetohydrodynamicproportionalspectrum
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We perform numerical simulations of decaying hydrodynamic and magnetohydrodynamic turbulence. We classify our time-dependent solutions by their evolutionary tracks in parametric plots between instantaneous scaling exponents. We find distinct classes of solutions evolving along specific trajectories toward points on a line of self-similar solutions. These trajectories are determined by the underlying physics governing individual cases, while the infrared slope of the initial conditions plays only a limited role. In the helical case, even for a scale-invariant initial spectrum (inversely proportional to wavenumber k), the solution evolves along the same trajectory as for a Batchelor spectrum (proportional to k^4.

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Cited by 3 Pith papers

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  1. Inverse cascade from helical and nonhelical decaying columnar magnetic fields

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  3. Forward cascade of large-scale primordial magnetic fields during structure formation

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    A flux-conservation advection equation reproduces the qualitative forward cascade of primordial magnetic field spectra during structure formation.

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