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
4 Citations
49 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 49 references

Two-fluid tearing instability in force-free magnetic configuration

  • V. V. Mirnov, C. C. Hegna, S. C. Prager
  • Phys. Plasmas 11
  • 2004
Highly Influential
7 Excerpts

Nonlinear studies of m = 1 modes in high-temperature plasmas

  • A. Y. Aydemir
  • Phys. Fluids B 4
  • 1992
Highly Influential
4 Excerpts

Derivation of implicit difference schemes by the method of differential approximation

  • E. J. Caramana
  • J. Comput. Phys. 96
  • 1991
Highly Influential
5 Excerpts

Accurate semi-implicit treatment of the Hall effect in magnetohydrodynamic computations

  • D. S. Harned, Z. Mikic
  • J. Comput. Phys. 83
  • 1989
Highly Influential
7 Excerpts

On balanced approximations for time integration of multiple time scale systems

  • D. A. Knoll, L. Chacón, L. G. Margolin, V. A. Mousseau
  • J. Comput. Phys. 185
  • 2003
Highly Influential
3 Excerpts

Douglas S

  • D. D. Schnack, D. C. Barnes, Z. Mikic
  • Harned, E.J. Caramana, Semi-implicit…
  • 1987
Highly Influential
4 Excerpts

The modified equation approach to the stability and accuracy analysis of finite-difference methods

  • R. F. Warming, B. J. Hyett
  • J. Comput. Phys. 14 (1974) 159–179. C.R. Sovinec…
  • 2010
1 Excerpt

Similar Papers

Loading similar papers…