A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas
arXiv:1712.02928 · doi:10.1016/j.jcp.2014.12.024
Abstract
A new approach using a hyperbolic-equation system (HES) is proposed to solve for the electron fluids in quasi-neutral plasmas. The HES approach avoids treatments of cross-diffusion terms which cause numerical instabilities in conventional approaches using an elliptic equation (EE). A test calculation reveals that the HES approach can robustly solve problems of strong magnetic confinement by using an upwind method. The computation time of the HES approach is compared with that of the EE approach in terms of the size of the problem and the strength of magnetic confinement. The results indicate that the HES approach can be used to solve problems in a simple structured mesh without increasing computational time compared to the EE approach and that it features fast convergence in conditions of strong magnetic confinement.
13 pages, 10 figures
Cited by in corpus (3)
- Two-dimensional hybrid model of gradient drift instability and enhanced electron transport in a Hall thruster
- A flux-splitting method for hyperbolic-equation system of magnetized electron fluids in quasi-neutral plasmas
- High-order upwind and non-oscillatory approach for steady state diffusion, advection-diffusion and application to magnetized electrons