Numerical Simulation of Convection-Diffusion Problems by the Control-Volume-Based Finite-Element Method

This work presents a numerical study of the tri-dimensional convection-diffusion equation by the control-volume-based on finite-element method using quadratic hexahedral elements. Considering that the equation governing this problem in its main variable may represent several properties, including te...

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Bibliographic Details
Published in:Numerical heat transfer. Part A, Applications Applications, 2010-05, Vol.57 (10), p.730-748
Main Authors: Neves, Odacir Almeida, Romão, Estaner Claro, Silva, João Batista Campos, de Moura, Luiz Felipe Mendes
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Contaminants
Diffusion
Dissipation
Finite element analysis
Finite element method
Kinetic energy
Mathematical analysis
Mathematical models
Reaction kinetics
Simulation
Temperature
Temperature distribution
Turbulence
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Summary:This work presents a numerical study of the tri-dimensional convection-diffusion equation by the control-volume-based on finite-element method using quadratic hexahedral elements. Considering that the equation governing this problem in its main variable may represent several properties, including temperature, turbulent kinetic energy, viscous dissipation rate of the turbulent kinetic energy, specific dissipation rate of the turbulent kinetic energy, or even the concentration of a contaminant in a given medium, among others, the wide applicability of this problem is thus evidenced. Three cases of temperature distributions will be studied specifically in this work, in addition to one case of pollutant dispersion upon analysis of the concentration of a contaminant in a fixed flow point. Some comparisons will be carried out against works found in the open literature, while others will be done according to each phenomenon characteristics.
ISSN:1040-7782
1521-0634
DOI:10.1080/10407781003800672