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

Author

Momoh, O.D. ; Sadiku, M.N.O. ; Akujuobi, C.M.

Author_Institution

Coll. of Eng., Technol., & Comput. Sci., Indiana Univ., Fort Wayne, IN, USA

Volume

47

Issue

5

fYear

2011

fDate

5/1/2011 12:00:00 AM

Firstpage

1426

Lastpage

1429

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.

Keywords

Laplace equations; computational electromagnetics; finite difference methods; Exodus method simulation; computing facility; conducting prolate spheroidal shells; exact solution; explicit finite-difference solution method; finite-difference scheme transformation; fixed random walk Monte Carlo method; potential distribution computation; prolate spheroid Laplace equation; random number generation; transition probabilities; Equations; Frequency division multiplexing; Heat transfer; Heating; Laplace equations; Mathematical model; Monte Carlo methods; Conducting prolate spheroidal shell; exodus method; explicit finite difference; potential distribution; transition probabilities;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2092417

Filename

5754761