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The UNIT algorithm for solving one-dimensional convection-diffusion problems via integral transforms

delete2011-05-01
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L
Leandro Alcoforado Sphaier *
R
Renato M. Cotta
C
Carolina P. Naveira‐Cotta
J
João Nazareno Nonato Quaresma
DOI:10.1016/j.icheatmasstransfer.2010.12.036delete
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摘要

摘要

En 中文
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. (C) 2011 Elsevier Ltd. All rights reserved.
Keyword:
Generalized Integral Transform Technique
Hybrid methods
Convection-diffusion
Non-linear problems
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期刊

International Communications in Heat and Mass Transfer 封面图
International Communications in Heat and Mass Transfer
IF:
6.4
论文数:
1.1W
被引数:
2.5W

机构

U
universidade federal do para
学者数:
7.4K
论文数: 3.8K
被引数: 4
Universidade Federal Fluminense 封面图
Universidade Federal Fluminense
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9.7K
论文数: 6.4K
被引数: 4.8K
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