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A global time-dependent model of thunderstorm electricity. I - Mathematical properties of the physical and numerical modelsA time-dependent model is introduced that can be used to simulate the interaction of a thunderstorm with its global electrical environment. The model solves the continuity equation of the Maxwell current, which is assumed to be composed of the conduction, displacement, and source currents. Boundary conditions which can be used in conjunction with the continuity equation to form a well-posed initial-boundary value problem are determined. Properties of various components of solutions of the initial-boundary value problem are analytically determined. The results indicate that the problem has two time scales, one determined by the background electrical conductivity and the other by the time variation of the source function. A numerical method for obtaining quantitative results is introduced, and its properties are studied. Some simulation results on the evolution of the displacement and conduction currents during the electrification of a storm are presented.
Document ID
19880023641
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Browning, G. L.
(National Center for Atmospheric Research Boulder, CO, United States)
Tzur, I.
(National Center for Atmospheric Research Boulder, CO, United States)
Roble, R. G.
(High Altitude Observatory Boulder, CO, United States)
Date Acquired
August 13, 2013
Publication Date
August 1, 1987
Publication Information
Publication: Journal of the Atmospheric Sciences
Volume: 44
ISSN: 0022-4928
Subject Category
Meteorology And Climatology
Accession Number
88A10868
Funding Number(s)
CONTRACT_GRANT: NAGW-772
CONTRACT_GRANT: NASA ORDER W-15028
Distribution Limits
Public
Copyright
Other

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