Modelagem do escoamento de fluídos em meios porosos utilizando a estrutura de dados Autonomous Leaves Graph

• Ano de defesa: 2013
• Autor(a) principal: Luccas Cassimiro Campos
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Minas Gerais
• Palavras-chave em Português: Matemática; Equações diferenciais elipticas; Escoamento; Escoamento em meios porosos; refinamento adaptativo da malha (AMR); Autonomous Leaves Graphs (ALG) método Misto-Híbrido; Donor cell upwind scheme
• Link de acesso: https://hdl.handle.net/1843/EABA-9EAKYQ

Multicomponent flow through porous media simulation involves the treatment of localized phenomena, such as concentration fronts, pressure gradients or geometry of the media. This suggests the use of an adaptive mesh, that is highly refined in the regions on which a better resolution is needed and less refined where the mass flow is small. The present work intends to use the methodology known as Autonomous Leaves Graph (ALG) to simulate fluid flow through porous media. The ALG structure have been showing being efficient on problems that involve adaptive mesh refinement, allowing local refining and the coexistence of neighbor regions with arbitrarily different refinement levels. We use a mixed-hybrid finite element method to solve the elliptic Partial Differential Equation given by Darcys Law, and the donor cell upwind scheme finite volume method to update tracer concentrations within each cell. The adaptive refinement technique is applied to monofasic bicomponent flow through a porous medium and numerical results of the bidimensional flow simulation are discussed.