Direct numerical simulations of low-Rm MHD turbulence based on the least dissipative modes

We present a new spectral method for the direct numerical simulation of magnetohydrodynamic turbulence at low magnetic Reynolds number. The originality of our approach is that instead of using traditional bases of functions, it relies on the basis of eigenmodes of the dissipation operator, which represents viscous and Joule dissipation. The full abstract is available in the attached file.