Daniela Buske

Universidade Federal de Pelotas

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Régis Sperotto de Quadros

Universidade Federal de Pelotas

T. Tirabassi

Universidade Federal de Santa Maria

Marco T. Vilhena

Universidade Federal do Rio Grande do Sul

Guilherme Jahnecke Weymar

Universidade Federal de Pelotas

Davidson Martins Moreira

Serviço Nacional de Aprendizagem Industrial

Glênio Aguiar Gonçalves

Universidade Federal de Pelotas

B. E. J. Bodmann

Universidade Federal do Rio Grande do Sul

Viliam Cardoso da Silveira

Universidade Federal de Pelotas

Gervásio Annes Degrazia

Universidade Federal de Santa Maria

Marco Túllio Vilhena

Universidade Federal do Rio Grande do Sul

Cooperative Institutions

Universidade Federal de Pelotas

Universidade Federal do Rio Grande do Sul

Universidade Federal de Santa Maria

Universidade Federal do Rio Grande

National Council for Scientific and Technological Development

National Research Council

Universidade de São Paulo

University of Rio Grande and Rio Grande Community College

Universidade Federal do Pampa

National Institute for Space Research

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A solution of the time-dependent advection-diffusion equation

International Journal of Environment and Pollution (2019)

Daniela Buske Marco T. Vilhena Everson J.G. Silva T. Tirabassi

We present an analytical solution that considers time dependence in the wind profile and the eddy diffusivity. The solution accepts any profiles of wind and eddy coefficient diffusions in a limited planetary boundary layer. The solution is based on the idea of a decomposition method upon expanding the pollutant concentration in a truncated series. This produces a set of recursive equations whose solutions are known. Each equation of this set is solved by the generalised integral Laplace transform technique (GILTT) method. The solution's ability to represent real situations was checked, comparing model predictions with the over-land along-wind dispersion (OLAD) experimental dataset.

Eddy diffusion

10.1504/ijep.2019.10023408

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Simulação tridimensional da dispersão de poluentes considerando o termo de assimetria e diferentes coeficientes de difusão

Scientia Plena (2023)

Viliam Cardoso da Silveira Daniela Buske Régis Sperotto de Quadros Jonas da Costa Carvalho Glênio Aguiar Gonçalves

O objetivo desse trabalho é avaliar a dispersão de poluentes na atmosfera, considerando a equação de advecção-difusão transiente tridimensional. O modelo, incluindo a difusão longitudinal e o fechamento não local da turbulência, é resolvido utilizando técnicas de transformadas integrais. Para a obtenção dos resultados e avaliação do modelo foram utilizados dados do experimento difusivo IIT Delhi para condições de vento fraco e duas parametrizações distintas para os coeficientes de difusão. O modelo simulou de forma satisfatória a concentração de poluentes quando comparado com os dados experimentais. O modelo apresentou melhor desempenho com os coeficientes de difusão que possuem maior informação da turbulência e considerado o termo de fechamento não local da turbulência.

10.14808/sci.plena.2023.119911

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NUMERICAL SIMULATION FOR REDUCED CHEMICAL KINETIC MECHANISM: A CASE FOR CARBON MONOXIDE AND HYDROGEN

17th Brazilian Congress of Thermal Sciences and Engineering (2018)

Rafael Torres Teixeira Rafaela Sehnem Letícia Kaufmann Daniela Buske Régis Sperotto de Quadros

10.26678/abcm.encit2018.cit18-0277

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Allen-Cahn Equation for Modeling Temporal Evolution of Non-Conserved Field Variables in Cancer Cell Migration

Ciência e Natura (2024)

João Gabriel Piraine Bandeira Daniela Buske Régis Sperotto de Quadros Gustavo Braz Kurz

This work explores the temporal evolution of non-conserved field variables through the application of the Allen-Cahn equation. The equation forms the basis for various phase-field models used in cell migration studies, particularly in the context of tumor cells and cancer metastasis. The model portrays cells as 2D soft bodies, integrating mechanical and biological aspects to simulate cell movement. The investigation delves into the mathematical representation of cell migration, vital in understanding cancer development and metastasis. The model employs an order parameter to characterize each cell, representing their presence within a cell cluster. By minimizing a specific free energy functional, the equilibrium shape of the soft cell bodies is determined, incorporating parameters that influence elasticity and energetic costs. Additionally, the interaction between cells is incorporated, contributing to a comprehensive portrayal of cell migration. The study yields insights into the complex dynamics of cell migration, enhancing our comprehension of biological processes and potentially informing cancer research strategies.

10.5902/2179460x87268

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AVALIAÇÃO ESTOCÁSTICA DO MODELO DE ADVECÇÃO-DIFUSÃO DE SUBSTÂNCIAS RADIOATIVAS LIBERADAS NA ATMOSFERA POR USINAS NUCLEARES

Ciência e Natura (2013)

Guilherme Jahnecke Weymar B. E. J. Bodmann Marco Túllio Menna Barreto de Vilhena Daniela Buske

Este artigo apresenta uma avaliação estocástica do modelo de advecção-difusão para a liberação de substâncias radioativas do experimento de Angra dos Reis. A função densidade probabilidade mostra a incompatibilidade da parametrização dos coeficientes turbulentos no problema.

10.5902/2179460x11596

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Comparison between analytical models to simulate pollutant dispersion in the atmosphere

International Journal of Environment and Waste Management (2010)

Davidson Martins Moreira Marco Túllio Vilhena T. Tirabassi Daniela Buske Camila Pinto da Costa

We present a numerical and statistical comparison between ADMM and GILTT approaches to simulate pollutant dispersion in the Planetary Boundary Layer (PBL). The numerical and statistical comparison of the ADMM and GILTT results confirms the equivalence of these methods. However, the ADMM approach is more efficient under computational point of view regarding the issue of computational time and, therefore, is more appropriate to be used as an operational air pollution model.

10.1504/ijewm.2010.035066

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Citations (14)

Erratum to “A new analytical approach to simulate the pollutant dispersion in the PBL”[Atmos. Environ. 39 (2005) 2171–2178]

Atmospheric Environment (2006)

Sérgio Wortmann Marco T. Vilhena Davidson Martins Moreira Daniela Buske

10.1016/j.atmosenv.2006.09.003

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Mathematical Modeling of Atmospheric Dispersion from Accidental Release of Ammonia (NH<sub>3</sub>) during Road Transport

Defect and diffusion forum/Diffusion and defect data, solid state data. Part A, Defect and diffusion forum (2023)

Carolina Pinz Medronha Ana Paula Rozado Gomes Guilherme Jahnecke Weymar Cícero Coelho de Escobar Daniela Buske

This work aimed to analyze the atmospheric dispersion of ammonia gas (NH 3 ) caused by a hypothetical leak in a tanker truck due to an accident during its transport. These accidents with dangerous products in road transport are unpredictable and can generate severe impacts on communities' borders and the environment close to the accident site. With the use of mathematical models, it is possible to estimate, assuming that there was an accidental release, how far, from the point of leakage to the cloud formed in the atmosphere will move until it is diluted in a way that does not pose a danger of toxicity. In this work, the ALOHA software and Google Earth will be used to estimate the dispersion of this toxic gas in different scenarios, varying the stability class and the height of the leak orifice. Among the proposed and analyzed scenarios, the results show that the plume with the greatest reach was 948 m in the red zone (AEGL 3 - 1100 ppm or 769 mg/m 3 ), 1900 meters in the orange zone (AEGL 2 - 160 ppm or 112 mg /m 3 ) and 3600 meters in the yellow zone (AEGL 1 - 30 ppm or 21 mg/m 3 ).

Accidental

Aloha

Toxic gas

10.4028/p-p4v9qe

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An analytical solution of the advection-diffusion equation considering non-local turbulence closure

Environmental Fluid Mechanics (2006)

Daniela Buske Marco T. Vilhena Davidson Martins Moreira T. Tirabassi

Convection–diffusion equation

Closure (psychology)

Turbulent diffusion

Numerical diffusion

10.1007/s10652-006-9012-5

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Citations (26)

Simulação de um modelo de dispersão de poluente com reação química na camada limite atmosférica

Ciência e Natura (2018)

Guilherme Jahnecke Weymar Daniela Buske Régis Sperotto de Quadros Jonas da Costa Carvalho

This work presents an analytical representation for a dispersion model of pollutants that considers the chemical reaction, the model uses the three-dimensional advection-diffusion equation to describe the concentration field in the atmospheric boundary layer and to represent the chemical reaction that the pollutant suffers is included a source term in the equation. To solve the problem we use the modified Adomian Decomposition method associated with the 3D-GILTT method. The model was applied to simulate the dispersion and transportation of the $SO_2$ (sulfur dioxide), a pollutant produced from the burning of mineral coal, emitted by the Presidente Médici thermoelectric plant, located in Candiota / RS. With the analysis of the results it can be observed that the concentrations generated by the model are satisfactory and that the approach used is a new proposal for the description of the concentration field of a substance.

10.5902/2179460x30720

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