Table of Contents
Journal of Computational Engineering
Volume 2014, Article ID 126905, 6 pages
http://dx.doi.org/10.1155/2014/126905
Research Article

Solution of Axisymmetric Potential Problem in Oblate Spheroid Using the Exodus Method

1College of Engineering, Technology, and Computer Science, Indiana University-Purdue University, Fort Wayne, IN 46805, USA
2Roy G. Perry College of Engineering, Prairie View A&M University, Prairie View, TX 77446, USA

Received 7 November 2013; Accepted 15 February 2014; Published 17 March 2014

Academic Editor: Quan Yuan

Copyright © 2014 O. D. Momoh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents the use of Exodus method for computing potential distribution within a conducting oblate spheroidal system. An explicit finite difference method for solving Laplace’s equation in oblate spheroidal coordinate systems for an axially symmetric geometry was developed. This was used to determine the transition probabilities for the Exodus method. A strategy was developed to overcome the singularity problems encountered in the oblate spheroid pole regions. The potential computation results obtained correlate with those obtained by exact solution and explicit finite difference methods.