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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 57, 2010 - Issue 10
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Original Articles

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

, , &
Pages 730-748 | Received 06 Nov 2009, Accepted 06 Mar 2010, Published online: 04 Jun 2010
 

Abstract

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.

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