A Numeric Solution to the Potential Theory Surface Integral Equations for Multiple Bodies

Zebadiah M. Smith
University of Missouri-Columbia
Advisor: Sudarshan K. Loyalka


Abstract
A general program has been written to implement a numeric solution to potential theory surface integral equations for multiple, arbitrarily shaped bodies in a closed volume. While the program developed has many applications, this work has been focused towards modeling aerosol properties. Specifically, the numeric solution provides the abilities to calculate the electric forces amongst charged aerosols and to calculate rates of gaseous diffusion to or from particles. Both phenomena have significant impact with regard to atmospheric modeling, manufacturing, indoor-air quality, nuclear reactor safety, etc. Of particular note is that this numeric solution can be applied to non-spherical bodies, whereas most current aerosol simulations consider only spheres or use shape factors. The bulk of this work has been the development of the method including its application toward specific problems.
Zebadiah Smith is a doctoral candidate in the Nuclear Science and Engineering Institute at the University of Missouri-Columbia.
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