Energy transfers in large-scale and small-scale dynamos
ORAL
Abstract
We present the energy transfers, mainly energy fluxes and shell-to-shell energy transfers in small-scale dynamo (SSD) and large-scale dynamo (LSD) using numerical simulations of MHD turbulence for Pm = 20 (SSD) and for Pm = 0.2 on $1024^3$ grid. For SSD, we demonstrate that the magnetic energy growth is caused by nonlocal energy transfers from the large-scale or forcing-scale velocity field to small-scale magnetic field. The peak of these energy transfers move towards lower wavenumbers as dynamo evolves, which is the reason for the growth of the magnetic fields at the large scales. The energy transfers U2U (velocity to velocity) and B2B (magnetic to magnetic) are forward and local. For LSD, we show that the magnetic energy growth takes place via energy transfers from large-scale velocity field to large-scale magnetic field. We observe forward U2U and B2B energy flux, similar to SSD.\footnote{R. Kumar, M. K. Verma, and R. Samtaney, EPL, {\bf 104}, 54001 (2013); J. Turbulence, {\bf 16}, 1114, (2015).}
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Authors
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Mahendra Verma
IIT Kanpur, India
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Ravi Samtaney
KAUST, SA
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Rohit Kumar
IIT Kanpur, India