A Model Using Fractional Derivatives with Vertical Eddy Diffusivity Depending on the Source Distance Applied to the Dispersion of Atmospheric Pollutants

Xavier, P.; Nascimento, Erick Giovani Sperandio; Moreira, Davidson Martins

doi:10.1007/s00024-018-1977-8

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International Symposium On Innovation and Technology (Siintec)1

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2020

2024

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Cited by 9 publications

(1 citation statement)

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“…Normally, linear integer-order equations are simpler to obtain the solution. However, results obtained in recent works with validated simulations in line with experiments widely known in the literature are the motivation to apply the conformable operator in this work [7,8,9,10].…”

Section: International Symposium On Innovation and Technology (Siintec)mentioning

confidence: 56%

A New Methodology for the Solution of the Advection-Diffusion Equation in the Planetary Boundary Layer Using Conformable Derivative

Silva¹,

Xavier²,

Palmeira³

et al. 2021

Blucher Engineering Proceedings

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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  -ADMM.

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Section: International Symposium On Innovation and Technology (Siintec)mentioning

confidence: 56%

A New Methodology for the Solution of the Advection-Diffusion Equation in the Planetary Boundary Layer Using Conformable Derivative

Silva¹,

Xavier²,

Palmeira³

et al. 2021

Blucher Engineering Proceedings

Self Cite

View full text Add to dashboard Cite

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Fractional Derivatives in Geophysical Modelling: Approaches Using the Modified Adomian Decomposition Method

Prates

Moreira

2020

Pure Appl. Geophys.

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An Approach for the Atmospheric Pollutant Dispersion Equation Considering Anomalous Diffusion in Strongly Unstable Conditions

Moreira

2022

Pure Appl. Geophys.

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A Model Using Fractional Derivatives with Vertical Eddy Diffusivity Depending on the Source Distance Applied to the Dispersion of Atmospheric Pollutants

Cited by 9 publications

References 24 publications

A New Methodology for the Solution of the Advection-Diffusion Equation in the Planetary Boundary Layer Using Conformable Derivative

A New Methodology for the Solution of the Advection-Diffusion Equation in the Planetary Boundary Layer Using Conformable Derivative

Fractional Derivatives in Geophysical Modelling: Approaches Using the Modified Adomian Decomposition Method

An Approach for the Atmospheric Pollutant Dispersion Equation Considering Anomalous Diffusion in Strongly Unstable Conditions

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