Numerical analysis of an advective diffusion domain coupled with a diffusive heat source. (November 2017)

• Record Type: Journal Article
• Authors: Pettres, Roberto; de Lacerda, Luiz Alkimin
• Is Part Of: Engineering analysis with boundary elements. Volume 84(2017)
• Page Start: 129
• Page End: 140
• Publication Date: 2017-11
• Subjects: Boundary element method -- Diffusion–advective equation -- Time independent fundamental solution; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2017.08.012
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: 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.