Uma comparação entre o método dos elementos de contorno e o método dos elementos finitos em problemas de campo escalar bidimensionais ortotrópicos
Nenhuma Miniatura disponível
Data
2016-12-02
Autores
Laquini, Raphael
Título da Revista
ISSN da Revista
Título de Volume
Editor
Universidade Federal do Espírito Santo
Resumo
Notwithstanding the most realistic rheological models are based on continuum mechanics, research involving oil extraction in rocks has emphasized a simpler approach using hydraulic diffusivity models, based on Darcy’s Equation to simulation of the fluid flow. The constitutive medium, in turn, besides a number of important properties, is presented as a non-isotropic material. Thus, the governing equation in these conditions can be given as a special case of the Generalized Scalar Field Equation. On the other hand, the Boundary Element Method (BEM) is a technique that adapts easily to non regular regions and has a high accuracy in simulation problems in which the mathematical field is scalar, particularly models involving the Darcy’s Equation. However, the non-isotropic BEM model has not found highlighting in oil extraction applications, so as to be normally restricted to a limited set of applications in dams. The BEM should be used more ostensibly, since it is particularly suitable to model non regular domains. In view of future applications in reservoir engineering, this paper presents the mathematical modelling and the implementation of the BEM in orthotropic problems with the classical formulation that uses a correlate non-isotropic fundamental solution. Numerical tests are implemented in problems with known analytical solution and their results are also compared with solutions achieved by the Finite Element Method (FEM), for a better performance evaluation
Descrição
Palavras-chave
Boundary element method , Finite element method , Orthotropic problems , Problemas ortotrópicos , Modelagem matemática
Citação
LAQUINI, Raphael. Uma comparação entre o método dos elementos de contorno e o método dos elementos finitos em problemas de campo escalar bidimensionais ortotrópicos. 2016. 90 f. Dissertação (Mestrado em Engenharia Mecânica) - Universidade Federal do Espírito Santo, Centro Tecnológico, Vitória, 2016.