3D contaminant transport by GFEM with hexahedral elements

This work aims to apply the GFEM (Galerkin Finite Element Method), with hexahedral elements in concentration transport problems in a three-dimensional domain. Since these problems are highly convective in nature, a study of the GFEM with 8 and 27-node hexahedron is performed. For such, an applicatio...

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Bibliographic Details
Published in:International communications in heat and mass transfer 2013-03, Vol.42, p.43-50
Main Authors: Romão, Estaner Claro, de Moura, Luiz Felipe Mendes
Format: Article
Language:English
Subjects:
Applied sciences
Atmospheric pollution
Contaminants
Convective problems
Error norms
Exact sciences and technology
Galerkin methods
GFEM
Hexahedral elements
Mass transfer
Mathematical analysis
Mathematical models
Norms
Pollutants physicochemistry study: properties, effects, reactions, transport and distribution
Pollution
Three dimensional
Transport
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Summary:This work aims to apply the GFEM (Galerkin Finite Element Method), with hexahedral elements in concentration transport problems in a three-dimensional domain. Since these problems are highly convective in nature, a study of the GFEM with 8 and 27-node hexahedron is performed. For such, an application with an analytical solution is performed by examining the norms L2 and L∞ from the error in the numerical solution; especially considering the variation of the velocity components, and the geometry of the proposal. Finally, the application involved the transport of an ammonia concentration through a tubulation containing holes caused by ruptures, which allows for inward air flow; thus, in this study, the influence of the variation of hole quantities, the maximum drainage velocity, and the geometry employed are analyzed.
ISSN:0735-1933
1879-0178
DOI:10.1016/j.icheatmasstransfer.2012.10.016