Simulação numérica para difusão anisotrópica / Numerical simulation to anisotropic diffusion

AUTOR(ES)
DATA DE PUBLICAÇÃO

2006

RESUMO

The present work build a computational model using the finite volumes method for unstructured meshes, with the purpose of calculating the hydraulic load in a porous medium, considering it material non - homogeneous and anisotropic. The Anisotropy is a characteristic of many materials found in the nature and it depends on the property studied in this material. First, we present the deduction of the equation of advective-dispersive transport and the mathematical formulation for the Laplaces equation, this last one used for the calculation of the hydraulic load. Soon afterwards, we present the solution algorithm of a computational program in the C++ language that allows to calculate the speed of the flow in each face of the control volume. Finally several tests for validation of the code are made, which makes it that the plausible to assume method is effective for the types of meshes tested, presenting some differences for the wrong solution.

ASSUNTO(S)

finite volume method geração numérica de malhas (análise numérica) método dos volumes finitos hydraulic load numerical grid generation (numerical analysis) anisotropy - mathematical models fenomenos de transporte anisotropia - modelos matemáticos carga hidráulica

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