Numerical analysis of an advective diffusion domain coupled with a diffusive heat source

作者：Pettres Roberto^*; de Lacerda Luiz Alkimin

来源：Engineering Analysis with Boundary Elements, 2017, 84: 129-140.

DOI：10.1016/j.enganabound.2017.08.012

• Boundary element method
• Diffusion-advective equation
• Time independent fundamental solution

This paper presents a formulation of the boundary element method (BEM) for the study of heat diffusion and advective effect in isotropic and homogeneous media. The proposed formulation has a time independent fundamental solution obtained from the two-dimensional Laplace equation. Consequently, the formulation is called D-BEM since it has domain integrals in the basic integral equation. The first order time derivative that appears in the integral equations is approximated by a backward finite difference scheme. Homogeneous subregions are considered in the analysis in a specific model simulating a nonuniform flow passing by a circular obstacle under internal heat generation. Results from numerical models are compared with the available analytical solutions. The correlation estimator R-2 is employed to validate the numerical model and to demonstrate the accuracy of the proposed formulation.

• 出版日期2017-11