CASTOR3D: linear magnetohydrodynamics and diamagnetic drift effects

Abstract

We upgrade the three-dimensional linear stability CASTOR3D code by taking into account gyro-viscosity in the momentum equation, as well as pressure and Hall terms in Ohm's law. Making use of the drift approximation, the resulting simplified version of Ohm's law is implemented. The ion and electron diamagnetic drift effects described by these newly implemented terms are investigated for ideal and resistive, low- and medium- $n$ internal modes depending on the ratio of ion and electron pressures, and plasma resistivity. Stability studies are performed for two- and three-dimensional test equilibria. The results confirm previous findings, and provide new insights especially in the case of the three-dimensional equilibrium (e.g. reduction of the coupling of toroidal harmonics).