Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling

Detalhes bibliográficos
Autor(a) principal: COSTA,C. P. DA
Data de Publicação: 2018
Outros Autores: RUI,K., PÉREZ-FERNÁNDEZ,L. D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000100043
Resumo: ABSTRACT In this paper, a three-dimensional solution of the steady-state dvection-diffusion equation is obtained applying the so-called generalized integral advection-diffusion multilayer technique, considered non-local closure for turbulent flow. Two different parametrizations were considered for the countergradient coefficient and three different methods of numerical inversion for inverse Laplace transform. The results were compared with the experimental data of Copenhagen experiment by an evaluation of statistical indexes to analyze the solution of the equation through the methods of numerical inversion. Different parametrizations for the vertical turbulent eddy diffusivity and wind profile were utilized. The results show a good agreement with the experiment and the methods of numerical inversion for inverse Laplace transform show almost the same accuracy.
id SBMAC-1_32a8a7f6936e96c953be33c52ef9421c
oai_identifier_str oai:scielo:S2179-84512018000100043
network_acronym_str SBMAC-1
network_name_str TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
repository_id_str
spelling Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution ModelingNon-local closurenumerical inversionpollutant dispersionABSTRACT In this paper, a three-dimensional solution of the steady-state dvection-diffusion equation is obtained applying the so-called generalized integral advection-diffusion multilayer technique, considered non-local closure for turbulent flow. Two different parametrizations were considered for the countergradient coefficient and three different methods of numerical inversion for inverse Laplace transform. The results were compared with the experimental data of Copenhagen experiment by an evaluation of statistical indexes to analyze the solution of the equation through the methods of numerical inversion. Different parametrizations for the vertical turbulent eddy diffusivity and wind profile were utilized. The results show a good agreement with the experiment and the methods of numerical inversion for inverse Laplace transform show almost the same accuracy.Sociedade Brasileira de Matemática Aplicada e Computacional2018-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000100043TEMA (São Carlos) v.19 n.1 2018reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2018.019.01.0043info:eu-repo/semantics/openAccessCOSTA,C. P. DARUI,K.PÉREZ-FERNÁNDEZ,L. D.eng2018-05-24T00:00:00Zoai:scielo:S2179-84512018000100043Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2018-05-24T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse
dc.title.none.fl_str_mv Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling
title Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling
spellingShingle Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling
COSTA,C. P. DA
Non-local closure
numerical inversion
pollutant dispersion
title_short Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling
title_full Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling
title_fullStr Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling
title_full_unstemmed Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling
title_sort Different Numerical Inversion Algorithms of the Laplace Transform for the Solution of the Advection-Diffusion Equation with Non-local Closure in Air Pollution Modeling
author COSTA,C. P. DA
author_facet COSTA,C. P. DA
RUI,K.
PÉREZ-FERNÁNDEZ,L. D.
author_role author
author2 RUI,K.
PÉREZ-FERNÁNDEZ,L. D.
author2_role author
author
dc.contributor.author.fl_str_mv COSTA,C. P. DA
RUI,K.
PÉREZ-FERNÁNDEZ,L. D.
dc.subject.por.fl_str_mv Non-local closure
numerical inversion
pollutant dispersion
topic Non-local closure
numerical inversion
pollutant dispersion
description ABSTRACT In this paper, a three-dimensional solution of the steady-state dvection-diffusion equation is obtained applying the so-called generalized integral advection-diffusion multilayer technique, considered non-local closure for turbulent flow. Two different parametrizations were considered for the countergradient coefficient and three different methods of numerical inversion for inverse Laplace transform. The results were compared with the experimental data of Copenhagen experiment by an evaluation of statistical indexes to analyze the solution of the equation through the methods of numerical inversion. Different parametrizations for the vertical turbulent eddy diffusivity and wind profile were utilized. The results show a good agreement with the experiment and the methods of numerical inversion for inverse Laplace transform show almost the same accuracy.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000100043
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512018000100043
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.5540/tema.2018.019.01.0043
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv TEMA (São Carlos) v.19 n.1 2018
reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
instname:Sociedade Brasileira de Matemática Aplicada e Computacional
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional
instacron_str SBMAC
institution SBMAC
reponame_str TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
collection TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
repository.name.fl_str_mv TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional
repository.mail.fl_str_mv castelo@icmc.usp.br
_version_ 1752122220246728704

Registros relacionados