Mathematical methods for modeling of lightning and thunderstorm electrification
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CitationAslan, B. C. ve Hager, W. (2009). Mathematical methods for modeling of lightning and thunderstorm electrification. Maltepe Üniversitesi. s. 122.
The change in the electric potential due to lightning is evaluated. The potential along the lightning channel is a constant which is the projection of the pre-flash potential along a piecewise harmonic eigenfunction which is constant along the lightning channel. The change in the potential outside the lightning channel is a harmonic function whose boundary conditions are expressed in terms of the pre-flash potential and the post-flash potential along the lightning channel. The expression for the lightning induced electric potential change for the continuous equations are based on the properties of the eigenvalues and eigenfunctions of a generalized eigenproblem. The forcing term in the equation which is associated with the movement of charged particles by the wind can be estimated using the balloon-borne electric field sensors (Esonde). The data from the Esonde can be combined with simultaneous Lightning Mapping Array (LMA) measurements of VHF pulses emitted during lightning breakdown processes to estimate the charge transport associated with lightning. Using these techniques, we analyze lightning charge transport for a thunderstorm which occurred on August 18, 2004, near Langmuir Laboratory, New Mexico. The analysis yields the three dimensional current generator structure of the thunderstorm.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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