A boundary element formulation for the heat equation with dissipative and heat generation terms

被引：16

作者：

Pettres, Roberto ^{[1
,2
,3
]}

de Lacerda, Luiz Alkimin ^{[1
]}

Marques Carrer, Jose Antonio ^{[2
]}

机构：

[1] Dept Civil Struct DPEC Curitiba, Inst Technol Dev LACTEC, BR-81531090 Curitiba, Parana, Brazil

[2] UFPR Fed Univ Parana, Postgrad Program Numer Methods Engn, Curitiba, Parana, Brazil

[3] UFPR Fed Univ Parana, Jandaia Do Sul, Parana, Brazil

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2015年 / 51卷

关键词：

Boundary element method; Transient heat equation; Time independent fundamental solution; ADVECTION-DIFFUSION; CONDUCTION;

D O I：

10.1016/j.enganabound.2014.11.005

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article presents a formulation of the Boundary Element Method (BEM) for the study of heat diffusion 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. Internal dissipative and heat generation terms are considered in the analyses. The results from the numerical model 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. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：191 / 198

页数：8

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