Open AccessDiffusion convection-reaction equation in exponentially graded media of incompressible flow: Boundary element method solutions
Author(s) -
Indah Raya,
Firdaus Firdaus,
Moh. Ivan Azis,
Siswanto Siswanto,
Abdul Rasyid Jalil
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 - 10.1088/1742-6596/1341/8/082004
Subject(s) - boundary element method , diffusion , mathematical analysis , anisotropy , compressibility , porous medium , convection–diffusion equation , boundary value problem , mathematics , computation , finite element method , mechanics , physics , materials science , thermodynamics , porosity , optics , algorithm , composite material
We setup boundary value problems (BVPs) for exponentially graded media. The BVPs are governed by a diffusion convection-reaction (DCR) equation of spatially varying coefficients (with an anisotropic diffusion coefficient). A boundary element method (BEM) is utilized to find numerical solutions to BVPs. The numerical solutions obtained verify the validity of the analysis used to derive the BEM with accurate and consistent solutions. The computation shows that the BEM procedure elapses very efficient time in producing the solutions. In addition, the results show the effect of anisotropy and inhomogeneity of the media on the solutions. To illustrate the application, an example of a layered material is presented.