Dezembro 2021 vol. 8 num. 4 - VII Simpósio Internacional de Inovação e Tecnologia

Original Article - Open Access.

Idioma principal | Segundo idioma

EQUAÇÃO DE DISPERSÃO DE POLUENTES ATMOSFÉRICOS COM PARÂMETRO FRACIONAL USANDO UMA SOLUÇÃO ANALÍTICA CONSIDERANDO A DERIVADA CONFORMÁVEL

DISPERSION EQUATION OF ATMOSPHERIC POLLUTANTS WITH FRACTIONAL PARAMETER IN THE DIFFUSIVE TERM USING CONFORMABLE DERIVATIVE AN ANALYTICAL SOLUTION

SOLEDADE, ANDRÉ LUIZ SANTOS DA ; XAVIER, PAULO HENRIQUE FARIAS ; SILVA, JOSÉ ROBERTO DANTAS DA ; PALMEIRA, ANDERSON DA SILVA ; MOREIRA, DAVIDSON MARTINS ;

Original Article:

Este estudo tem como objetivo investigar o potencial de derivados fracionários na modelagem de dispersão atmosférica. Portanto, uma solução analítica da equação bidimensional de advecção-difusão fracionada é proposta usando métodos GILTT e derivados conformáveis. A novidade deste estudo é a inserção de um parâmetro fracionário no termo difusivo considerando a derivada conformável, levando em consideração o comportamento anômalo no processo de difusão, resultando em uma nova metodologia aqui denominada método α-GILTT. As simulações foram comparadas com os dados moderadamente instáveis do experimento de Copenhagen e os melhores resultados são para o parâmetro fracionário α = 0.99.

Original Article:

This study aims to investigate the potential of fractional derivatives in atmospheric dispersion modeling. Therefore, an analytical solution of the two-dimensional fractional advection-diffusion equation is proposed using GILTT and conformable derivatives methods. The novelty of this study is the insertion of a fractional parameter in the diffusive term considering the conformable derivative, considering the anomalous behavior in the diffusion process, resulting in a new methodology here called α-GILTT method. The simulations were compared with the moderately unstable data from the Copenhagen experiment and the best results are for the fractional parameter α = 0.99.

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Palavras-chave: α-GILTT; Difusão anômala; Derivada conformável,

Palavras-chave: α-GILTT, Anomalous diffusion, Conformable derivatives,

DOI: 10.5151/siintec2021-208647

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Como citar:

SOLEDADE, ANDRÉ LUIZ SANTOS DA ; XAVIER, PAULO HENRIQUE FARIAS; SILVA, JOSÉ ROBERTO DANTAS DA ; PALMEIRA, ANDERSON DA SILVA; MOREIRA, DAVIDSON MARTINS; "EQUAÇÃO DE DISPERSÃO DE POLUENTES ATMOSFÉRICOS COM PARÂMETRO FRACIONAL USANDO UMA SOLUÇÃO ANALÍTICA CONSIDERANDO A DERIVADA CONFORMÁVEL", p. 311-320 . In: VII International Symposium on Innovation and Technology. São Paulo: Blucher, 2021.
ISSN 2357-7592, DOI 10.5151/siintec2021-208647

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