A Fixed Random Walk Method of potential computation in a conducting spherical shell

Author

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

Author_Institution

Coll. of Eng., Prairie View A&M Univ., Prairie View, TX, USA

fYear

2010

fDate

18-21 March 2010

Firstpage

455

Lastpage

458

Abstract

The Monte Carlo Methods have been applied with great success to the solution of electromagnetic problems in Cartesian and cylindrical coordinates systems, but have not been widely used in tspherical coordinates system. In this paper, we briefly show the use of a Fixed Random Walk Monte Carlo Method to compute potential distribution in a conducting spherical shell. The results obtained perfectly agreed with those obtained using explicit finite difference method. Also, the approach adopted to overcome singularities encountered in the co-latitude coordinates of the spherical system was highlighted.

Keywords

Monte Carlo methods; computational electromagnetics; finite difference methods; random processes; Cartesian coordinates system; Monte Carlo methods; colatitude coordinates; conducting spherical shell; cylindrical coordinates system; electromagnetic problems; explicit finite difference method; fixed random walk method; Analog computers; Application software; Continuous time systems; Distributed computing; Educational institutions; Electromagnetic fields; Finite difference methods; Laplace equations; Monte Carlo methods; Partial differential equations; Explicit finite difference; Fixed Random Walk Monte Carlo Method; conducting spherical shell; potential distribution; singularity;

fLanguage

English

Publisher

ieee

Conference_Titel

IEEE SoutheastCon 2010 (SoutheastCon), Proceedings of the

Conference_Location

Concord, NC

Print_ISBN

978-1-4244-5854-7

Type

conf

DOI

10.1109/SECON.2010.5453831

Filename

5453831