Boundary element method solutions for steady anisotropic-diffusion convection problems of incompressible flow in quadratically graded media

• Published in: Journal of physics. Conference series Vol. 1341; no. 6; pp. 62019 - 62027
• Main Authors: Baja, S, Arif, S, Fahruddin, Haedar, N, Azis, M I
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.10.2019
• Subjects: Anisotropy; Boundary element method; Boundary integral method; Boundary value problems; Coefficients; Computational fluid dynamics; Convection; Fluid flow; Incompressible flow; Inhomogeneity; Integral equations; Physics
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/1341/6/062019

A boundary element method is utilized to find numerical solutions to boundary value problems of quadratically 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 and the inhomogeneity of the media on the solutions. An example of a layered material is presented as an illustration of the application.