Please use this identifier to cite or link to this item: http://hdl.handle.net/11422/8609
Type: Artigo
Title: The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms
Author(s)/Inventor(s): Sphaier, Leandro Alcoforado
Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
Quaresma, João Nazareno Nonato
Abstract: Indisponível
Abstract: A unified approach for solving convection-diffusion problems using the Generalized Integral Transform Technique (GITT) was advanced and coined as the UNIT (UNified Integral Transforms) algorithm, as implied by the acronym. The unified manner through which problems are tackled in the UNIT framework allows users that are less familiar with the GITT to employ the technique for solving a variety of partial-differential problems. This paper consolidates this approach in solving general transient one-dimensional problems. Different integration alternatives for calculating coefficients arising from integral transformation are discussed. Besides presenting the proposed algorithm, aspects related to computational implementation are also explored. Finally, benchmark results of different types of problems are calculated with a UNIT-based implementation and compared with previously obtained results.
Keywords: Generalized Integral Transform Technique
Hybrid methods
Convection-diffusion
Non-linear problems
Subject CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Production unit: Núcleo Interdisciplinar de Dinâmica dos Fluidos
Publisher: Elsevier
In: International Communications in Heat and Mass Transfer
Volume: 38
Issue: 5
Issue Date: 13-Jan-2012
DOI: 10.1016/j.icheatmasstransfer.2010.12.036
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
ISSN: 0735-1933
Appears in Collections:Engenharias

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