Blucher Engineering Proceedings

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

UMA NOVA METODOLOGIA PARA A SOLUÇÃO DA EQUAÇÃO DE DIFUSÃO-ADVECÇÃO NA CAMADA LIMITE PLANETÁRIA USANDO DERIVADA CONFORMÁVEL

A NEW METHODOLOGY FOR THE SOLUTION OF THE ADVECTION-DIFFUSION EQUATION IN THE PLANETARY BOUNDARY LAYER USING CONFORMABLE DERIVATIVE

Silva, José Roberto Dantas da; Xavier, Paulo Henrique Farias; Palmeira, Anderson da Silva; Soledade, André Luiz Santos da; Moreira, Davidson Martins

Original Article:

O objetivo deste trabalho é descrever uma proposta metodológica para o desenvolvimento de uma solução da equação difusão-advecção bidimensional fracionária, considerando uma camada limite planetária não homogênea (CLP). Utiliza-se o método ADMM (Advection-Diffusion Multilayer Method) que fornece uma solução semianalítica baseada na discretização da CLP em subcamadas e a equação de advecção-difusão é resolvida pela aplicação da técnica da transformada de Laplace, agora incluindo como novidade a derivada conformável. Este procedimento gera uma nova metodologia denominada alpha- ADMM.

"The objective of this work is to describe a methodological proposal for the development of a solution of the fractional two-dimensional diffusion-advection equation considering a non-homogeneous planetary boundary layer (PBL). The method ADMM (Advection-Diffusion Multilayer Method) is used, which provides a semi-analytical solution based on the discretization of the PBL in sublayers, and the advection-diffusion equation is solved by applying the Laplace transform technique, now including the novelty of the conformable derivatives. This procedure generates a new methodology called alpha-ADMM."

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DOI: 10.5151/siintec2021-208187

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Como citar:

Silva, José Roberto Dantas da; Xavier, Paulo Henrique Farias; Palmeira, Anderson da Silva; Soledade, André Luiz Santos da; Moreira, Davidson Martins; "UMA NOVA METODOLOGIA PARA A SOLUÇÃO DA EQUAÇÃO DE DIFUSÃO-ADVECÇÃO NA CAMADA LIMITE PLANETÁRIA USANDO DERIVADA CONFORMÁVEL", p-369-376. In: VII International Symposium on Innovation and Technology. São Paulo: Blucher, 2021.
ISSN 23577592, DOI 10.5151/siintec2021-208187

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