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Type: Artigo
Title: Recent advances in computational-analytical integral transforms for convection-diffusion problems
Author(s)/Inventor(s): Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Knupp, Diego Campos
Zotin, Jose Luiz Zanon
Pontes, Péricles Crisiron
Almeida, Anderson Pereira de
Abstract: Indisponível.
Abstract: An unifying overview of the Generalized Integral Transform Technique (GITT) as a computational-analytical approach for solving convection-diffusion problems is presented. This work is aimed at bringing together some of the most recent developments on both accuracy and convergence improvements on this well-established hybrid numerical-analytical methodology for partial differential equations. Special emphasis is given to novel algorithm implementations, all directly connected to enhancing the eigenfunction expansion basis, such as a single domain reformulation strategy for handling complex geometries, an integral balance scheme in dealing with multiscale problems, the adoption of convective eigenvalue problems in formulations with significant convection effects, and the direct integral transformation of nonlinear convection-diffusion problems based on nonlinear eigenvalue problems. Then, selected examples are presented that illustrate the improvement achieved in each class of extension, in terms of convergence acceleration and accuracy gain, which are related to conjugated heat transfer in complex or multiscale microchannel-substrate geometries, multidimensional Burgers equation model, and diffusive metal extraction through polymeric hollow fiber membranes. Numerical results are reported for each application and, where appropriate, critically compared against the traditional GITT scheme without convergence enhancement schemes and commercial or dedicated purely numerical approaches.
Keywords: Generalized Integral Transform Technique
Computational-analytical approach
Convection-diffusion problems
Department : Núcleo Interdisciplinar de Dinâmica dos Fluidos
Publisher: Springer Verlag
In: Heat and Mass Transfer
Volume: 54
Issue: 8
Issue Date: 24-Oct-2017
DOI: 10.1007/s00231-017-2186-1
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
ISSN: 1432-1181
Appears in Collections:Engenharias

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