Award Date


Degree Type


Degree Name

Master of Science (MS)


Mathematical Sciences

First Committee Member

Dieudonne Phanord

Number of Pages



Clouds come in different shapes and sizes and are made up of different constituents. Realistic clouds are composed of heterogeneous distribution of constituents (ice particle, needle shaped objects, cubic, hexagonal, etc.). For tractability of solutions and smoothness of calculations, assumptions are made. The assumption is viable due to multiple scattering effect for propagation of radiation in random media. In Koshak et al. (1994), "Diffusion Model for Lightning Radiative Transfer", the cloud was treated as a nuclear reactor in order to obtain forms that can be readily computable and a simple geometry was chosen, i.e., a homogeneous rectangular parallelepiped Cloud In a recent work by Odei (2007), the cloud was modeled by a sphere containing a homogeneous distribution of identical spherical water droplets. This research activity will focus on modeling lightning intensity inside a cylindrical Cloud In addition, the known analytical solution generated by the cylindrical model is simulated and graphically represented. Moreover, the results of this thesis are compared to the above cited references.


Cylindrical; Diffusion; Geometry; Lightning; Model; Radiative; Transfer

Controlled Subject

Mathematics; Atmospheric physics

File Format


File Size

3020.8 KB

Degree Grantor

University of Nevada, Las Vegas




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