Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling
Journal of Computational Physics
Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
Journal of Computational Physics
Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas
Journal of Computational Physics
Hi-index | 31.46 |
A semi-implicit operator is derived for the Hall term that, when implemented in the MHD equations, allows time steps comparable to those normally used in semi-implicit MHD computations. The operator is fourth order in the direction of the magnetic field and is most accurate when used in a split time step algorithm. The effects of the semi-implicit treatment on linear waves in a cylinder are shown both through a detailed analysis and numerical tests. The effectiveness of the algorithm is also demonstrated with a nonlinear computation of a tokamak tearing instability.