Potential Distribution Computation in Conducting Prolate Spheroidal Shells Using the Exodus Method

Abstract

This paper presents the use of the Exodus method to compute the potential distribution in a conducting prolate spheroidal shell. The transition probabilities for the Exodus method simulation were obtained from the finite-difference scheme transformation of the prolate spheroid Laplace equation. This method is independent of the random number generation from the computing facility and gives more accurate results than the fixed random walk Monte Carlo method. The results obtained matched perfectly with those obtained by using an exact solution and explicit finite-difference solution method.