Paper Title
Non-Linear Evolution of Zonostrophic Instability With Varying Magnetic Field Strength.
Abstract
The non-linear evolution of zonostrophic instability has a dynamic process that transfers magnetic fields within the solar interior. Studies have shown that a weak magnetic field can modify the flow onto the lower tachocline (Tobias, Diamond and Hughes (2007), suppressing of zonostrophic instability initially, while a sufficiently strong field can enhance this instability. We consider a 2D Kolmogorov flow with a sinusoidal velocity field u= (0, sinx) for a magnetic field aligned with possible jet formation. The study uses a spectral code of the Dedalus package. Our nonlinear simulations are linked to some linear results presented from our comprehensive linear study (Al Gatheem, Gilbert, and Hillier (2023). In the longer simulation run, the study aims to probe into some fundamental processes at large-scale structures and generate a possible inverse cascade.
Keywords - MHD, Instabilities, Waves, Hydrodynamics