A Discrete Model for the Lightning Discharge

Journal of Computational Physics

Volumn 144, Issue 1, 1998, Pages 137-150

  Hager, William W ^a  

^a University of Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC POTENTIAL;

BACKWARD EULER; BACKWARDS EULER SCHEME; BREAKDOWN THRESHOLD; DISCHARGE CHANNEL; DISCHARGE MODELS; DISCRETE MODELS; EULER APPROXIMATION; INTEGRATION SCHEME; LIGHTNING DISCHARGE; ONE PARAMETER FAMILY;

LIGHTNING;

EID: 0012142251     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.5985     Document Type: Article

References (22)

1. Ahuja R. K., Magnanti T. L., Orlin J. B. Network Flows: Theory, Algorithms, and Applications. 1993.
2. Hager W. W. Updating the inverse of a matrix. SIAM Rev. 31:1989;221.
3. Hager W. W., Nisbet J. S., Kasha J. R. The evolution and discharge of electric fields within a thunderstorm. J. Comput. Phys. 82:1989;193.
4. Hager W. W., Nisbet J. S., Kasha J. R., Shann W.-C. Simulations of electric fields within a thunderstorm. J. Atmospheric Sci. 46:1989;3542.
5. Helsdon J. H. Jr., Farley R. D. A numerical modeling study of a Montana thunderstorm. 1. Model results versus observations involving nonelectrical aspects. J. Geophys. Res. 92:1987;5645.
6. Helsdon J. H. Jr., Farley R. D. A numerical modeling study of a Montana thunderstorm. 2. Model results versus observations involving electrical aspects. J. Geophys. Res. 92:1987;5661.
7. J. H. Helsdon, Jr. R. D. Farley, G. Wu, Lightning parameterization in a storm electrification model, 1988 Proceedings, International Conference on Atmospheric Electricity, 849.
8. Helsdon J. H. Jr., Wu G., Farley R. D. An intracloud lightning parameterization scheme for a storm electrification model. J. Geophys. Res. 97:1992;5865.
9. Marshall T. C., McCarthy M. P., Rust W. D. Electric field magnitudes and lightning initiation in thunderstorms. J. Geophys. Res. 100:1995;7097.
10. Marshall T. C., Rust W. D. Electric field soundings through thunderstorms. J. Geophys. Res. 96:1991;22,297.
11. Niemeyer L., Pietronero L., Wiesmann H. J. Fractal dimension of dielectric breakdown. Phys. Rev. Lett. 52:1984;1033.
12. Norville K., Baker M., Latham J. A numerical study of thunderstorm electrification: Model development and case study. J. Geophys. Res. 96:1991;7463.
13. Petrov N. I., Petrova G. N. Physical mechanism for intracloud lightning discharges. Tech. Phys. 38:1993;287.
14. Pietronero L., Wiesmann H. J. Stochastic model for dielectric breakdown. J. Statist. Phys. 36:1984;909.
15. Richman C. I. Fractal geometry of lightning strokes. MILCOM 90. 1990.
16. Smirnov B. M. The properties and the nature of ball lightning. Phys. Rep. 152:1987;177.
17. Solomon R., Baker M. A one-dimensional lightning parameterization. J. Geophys. Res. 101:1996;14,983.
18. Uman M. A. The Lightning Discharge. 1987.
19. Williams E. R., Cooke C. M., Wright K. A. Electrical discharge propagation in and around space charge clouds. J. Geophys. Res. 90:1985;6059.
20. Witten T. A. Jr., Sander L. M. Diffusion-limited aggregation, a kinetic critical phenomenon. Phys. Rev. Lett. 47:1981;1400.
21. Ziegler C. L., MacGorman D. R. Observed lightning morphology relative to modeled space charge and electric field distributions in a tornadic storm. J. Atmospheric Sci. 51:1994;833.
22. Ziegler C. L., MacGorman D. R., Dye J. E., Ray P. R. A model evaluation of noninductive graupel-ice charging in the early electrification of a mountain thunderstorm. J. Geophys. Res. 96:1991;12,833.