Steady state heat conduction modeling by the Generalized Finite Element Method
Humberto Alves da Silveira Monteiro, Guilherme Garcia Botelho, Roque Luiz da Silva Pitangueira, Rodrigo Guerra Peixoto, Felício Bruzzi Barros
ENCIT 2018 - 17th Brazilian Congress of Thermal Sciences and Engineering , Águas de Lindóia , 2018
Resumo (em inglês)
The Generalized Finite Element Method (GFEM) is a numerical technique suitable to solve a wide range of engineering continuum mechanics problems. Dating back to the mid-1990’s, the GFEM is a relatively new numerical method which incorporates enrichment functions to the partition of unity and, by doing so, is more flexible and less mesh-dependent than the standard finite element formulation. In particular, it is a convenient tool in the study of heat transfer phenomena, being able to provide numerical solutions for the distribution of thermal energy inside a domain subjected to high temperature gradients. In that sense, this work presents the computational implementation of the GFEM to thermal problems. Validation examples of two-dimensional steady state conduction models are presented in order to illustrate the performance of the method in these cases. The work were executed in the INSANE system (INteractive Structural ANalysis Environment), a free software of high-level scientific research on numerical methods developed in the Department of Structural Engineering of the Federal University of Minas Gerais, Brazil.