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

Omonowo D. Momoh | Zendy; Matthew N. O. Sadiku | Zendy; Sarhan M. Musa | Zendy

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

Author(s) -

Omonowo D. Momoh,

Matthew N. O. Sadiku,

Sarhan M. Musa

Publication year - 2014

Publication title -

journal of computational engineering

Language(s) - English

Resource type - Journals

eISSN - 2356-7260

pISSN - 2314-6443

DOI - 10.1155/2014/126905

Subject(s) - oblate spheroid , spheroid , axial symmetry , rotational symmetry , singularity , laplace's equation , mathematical analysis , computation , laplace transform , physics , finite difference , coordinate system , finite difference method , classical mechanics , geometry , mathematics , boundary value problem , algorithm , biochemistry , chemistry , in vitro

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

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