Blucher Engineering Proceedings

Dezembro 2021, vol.8, num.4 - VII Simpósio Internacional de Inovação e Tecnologia
Original Article - Open Access Idioma principal | Segundo principal

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.

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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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 23577592, DOI 10.5151/siintec2021-208647

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