THE BOUNDARY ELEMENT METHOD WITH DUAL RECIPROCITY IN POTENTIAL PROBLEMS
Élida Gomes Pires1; Gilberto Gomes1; Marcelo Carneiro do Carmo Ribeiro2
1 Universidade de Brasília; 2 Centro Universitário Alves Faria
doi:10.20906/CPS/CILAMCE2017-0336
Resumo
The Boundary Element Method (BEM) is currently one of the most important numerical solution techniques for the treatment of physical problems, whose mathematical models are driven by partial differential equations. Its basic principle is to present an approximate solution of the proposed problem through the exclusive discretization in the physical contour involved, transforming the differential equations that are valid for each domain of the problem into integral boundary equations. When it is not possible to take into account all the terms of the governing equation, terms not considered in obtaining the fundamental solution will produce domain integrals that will preferably be transformed into boundary integrals. An alternative is to replace the effects of the integral domain to the boundary using the Dual Reciprocity Method (DRM). Here, it is proposed to present a MATLAB program to compute temperature and flow for Potential problems via BEM / DRM. To validate the implemented program an example will be shown corroborating with the accuracy and efficiency of the analysis.
Palavras-chave: Boundary Element Method; Dual Reciprocity Method; Potencial; MATLAB