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- Title
A BEM for Transient Anisotropic Diffusion Convection Equation of Variable Coefficients.
- Authors
Azis, Mohammad Ivan
- Abstract
This article addresses challenges associated with anisotropic functionally graded media that are governed by the transient diffusion-convection equation. The authors seek to obtain numerical solutions for these problems by utilizing a combination of Laplace transform and boundary element method. To achieve this, a boundary integral equation is derived and a standard boundary element method is used to obtain numerical solutions, which are then inversely transformed using the Stehfest formula to obtain solutions in the time variable. The problems studied include those involving compressible or incompressible flow and media with quadratic, exponential, and trigonometric gradients. The findings suggest that the approach used to transform the variable coefficients equation into the constant coefficients equation is valid and the mixed Laplace transform and boundary element method is a simple and effective means of obtaining numerical solutions. The accuracy of the numerical solutions is also confirmed, and the impact of material anisotropy and inhomogeneity on the solutions is highlighted, suggesting that accounting for these factors is crucial for experimental studies. Additionally, the symmetry of solutions for symmetric problems is also verified for further validation of the numerical solutions.
- Subjects
HEAT equation; TRANSPORT equation; BOUNDARY element methods; INCOMPRESSIBLE flow; COMPRESSIBLE flow; INTEGRAL equations
- Publication
IAENG International Journal of Applied Mathematics, 2023, Vol 53, Issue 3, p1107
- ISSN
1992-9978
- Publication type
Article