Open AccessOn the derivation of a boundary element method for steady anisotropic-diffusion convection problems of incompressible flow in trigonometrically graded media
Author(s) -
Sakka,
Erfan Syamsuddin,
Bualkar Abdullah,
Moh. Ivan Azis,
A. Muh. Amil Siddik
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1341/6/062020
Subject(s) - boundary element method , mathematical analysis , boundary value problem , mathematics , computation , boundary (topology) , singular boundary method , flow (mathematics) , boundary knot method , anisotropy , method of fundamental solutions , finite element method , geometry , physics , optics , algorithm , thermodynamics
A boundary element method is utilized to find numerical solutions to boundary value problems of trigonometrically graded media governed by a spatially varying coefficients anisotropic-diffusion convection equation. The variable coefficients equation is firstly transformed into a constant coefficients equation for which a boundary integral equation can be formulated. A boundary element method (BEM) is then derived from the boundary integral equation. Some problems are considered. The numerical solutions justify the validity of the analysis used to derive the boundary element method with accurate and consistent solutions. A FORTRAN script is developed for the computation of the solutions. The computation shows that the BEM procedure elapses very efficient time in producing the solutions. In addition, results obtained from the considered examples show the effect of the anisotropy of the media on the solutions. An example of a layered material is presented as an illustration of the application.