Solution of Axisymmetric Potential Problem in Oblate Spheroid Using the Exodus Method. (17th March 2014)

• Record Type: Journal Article
• Authors: Momoh, O. D.; Sadiku, M. N. O.; Musa, S. M.
• Other Names: Yuan Quan Academic Editor.
• Is Part Of: Journal of computational engineering. Volume 2014(2014)
• Publication Date: 2014-03-17
• Subjects: Engineering mathematics -- Periodicals; Engineering -- Mathematical models -- Periodicals; Engineering -- Mathematical models; Engineering mathematics; Periodicals; 620.00285
• DOI: 10.1155/2014/126905
• Languages: English
• ISSNs: 2356-7260

Abstract

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.