Synthetic turbulence model and DNS for magnetohydrodynamics with rotation

Abstract

Many conducting fluids are subject to the combined Coriolis and Lorentz forces at the same time. On the one hand, interactions between a turbulent velocity field of an electrically conducting fluid and a magnetic field occur in many astrophysical and geophysical (geodynamo) systems. However, the full nonlinear coupling between Navier-Stokes and Maxwell equations remains difficult to solve numerically in many cases. On the other hand, the effect of solid-body rotation on homogeneous turbulence has also been extensively studied independently.