Anisotropic energy transfers in quasi-static magnetohydrodynamic turbulence

Abstract

We perform direct numerical simulations of quasi-static magnetohydrodynamic turbulence, and compute various energy transfers including the ring-to-ring and conical energy transfers, and the energy fluxes of the perpendicular and parallel components of the velocity field. We show that the rings with higher polar angles transfer energy to ones with lower polar angles. For large interaction parameters, the dominant energy transfer takes place near the equator (polar angle $\theta \approx \frac{\pi }{2}$). The energy transfers are local both in wavenumbers and angles. The energy flux of the perpendicular component is predominantly from higher to lower wavenumbers (inverse cascade of energy), while that of the parallel component is from lower to higher wavenumbers (forward cascade of energy). Our results are consistent with earlier results, which indicate quasi two-dimensionalization of quasi-static magnetohydrodynamic (MHD) flows at high interaction parameters.

arXiv comment11 pages, 15 figures

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• Inverse and direct energy cascades in 3D MHD turbulence at low-Rm
• Bistability of the large-scale dynamics in quasi-two-dimensional turbulence
• Helicity dynamics, inverse and bi-directional cascades in fluid and MHD turbulence: A brief review