Quasi-static magneto-hydrodynamic convection in a rotating cylinder

Anthony Rouquier (Coventry University)

We present a numerical study of the onset of rotating magnetoconvection in a cylinder under the quasi-static magneto-hydrodynamic approximation using the spectral-element solver Nektar++. The aim of this work is to obtain a better understanding of the convection process in planetary cores, especially in the tangent cylinder region. To this end a linear stability analysis of the system is conducted in order to find the onset of convection and the topology of the dominant modes above the onset.