Scale locality of the energy cascade in magnetohydrodynamics

Abstract

Turbulence behaves differently in electrically charged fluids, such as plasmas, due to the turbulent motions being accompanied by magnetic field influences. This thesis looks at how the magnetic field in these fluids impacts energy transferred from large scales to small scales—the energy cascade—by analyzing data from numerical simulations of turbulence. We will be following Doan et al's approach of decomposing the fluctuations into large-scale and small-scale contributions using bandpass filtering, then plotting the flux of the energy and enstrophy in 2D and 3D magnetohydrodynamics. This will help quantify various aspects of the energy cascade, including the degree of scale-locality. The results will be compared to those from Doan et al's analysis of non-electrically charged fluids.