Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling

@article{Sovinec2010AnalysisOA,
title={Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling},
author={Carl R. Sovinec and J. R. King},
journal={J. Comput. Physics},
year={2010},
volume={229},
pages={5803-5819}
}

A temporally staggered algorithm for advancing solutions of the two-fluid plasma model is analyzed with von Neumann’s method and with differential approximation. The implicit leapfrog algorithm [C.R. Sovinec et al., J. Phys. Conf. Series 16 (2005) 25–34] is found to be numerically stable at arbitrarily large time-step when the advective, Hall, and gyroviscous terms are temporally centered in their respective advances and the coefficient of the semi-implicit operator meets the criterion found… CONTINUE READING