Evaluation of radiances generated by solving the radiative-transfer equation with different approaches

Detalhes bibliográficos
Autor(a) principal: Chalhoub,Ezzat Selim
Data de Publicação: 2012
Outros Autores: Campos Velho,Haroldo F. de, Silva Neto,Antônio José da
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782012000200010
Resumo: Radiative transfer is the main phenomenon in the basis of several relevant problems of scientific and technological interest. Examples of application of the mathematical and computational modeling of such phenomenon can be found in astronomy, environmental sciences, engineering and medicine among many different areas. The integro-differential equation known as Boltzmann equation describes mathematically the interaction of the radiation with the participating medium, i.e. a medium which may absorb, scatter and emit radiation. Several methods have been developed for the solution of the Bolztmann equation. In the present work we present a comparison of the solutions obtained for the one-dimensional problem with four different methods: (i) Monte Carlo (MC) method; (ii) Discrete Ordinates method (S N) combined with a finite difference approximation; (iii) Analytical Discrete Ordinates method (AS N); and (iv) Laplace Transform Discrete Ordinates method (LTS N). Our final objective is to solve the inverse radiative transfer problem and for that purpose, we want to investigate methods that may provide accurate and fast solutions for the direct problem.
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spelling Evaluation of radiances generated by solving the radiative-transfer equation with different approachesradiative transferBoltzmann equationMonte Carlo methodDiscrete Ordinates methodLaplace Transform Discrete Ordinates methodRadiative transfer is the main phenomenon in the basis of several relevant problems of scientific and technological interest. Examples of application of the mathematical and computational modeling of such phenomenon can be found in astronomy, environmental sciences, engineering and medicine among many different areas. The integro-differential equation known as Boltzmann equation describes mathematically the interaction of the radiation with the participating medium, i.e. a medium which may absorb, scatter and emit radiation. Several methods have been developed for the solution of the Bolztmann equation. In the present work we present a comparison of the solutions obtained for the one-dimensional problem with four different methods: (i) Monte Carlo (MC) method; (ii) Discrete Ordinates method (S N) combined with a finite difference approximation; (iii) Analytical Discrete Ordinates method (AS N); and (iv) Laplace Transform Discrete Ordinates method (LTS N). Our final objective is to solve the inverse radiative transfer problem and for that purpose, we want to investigate methods that may provide accurate and fast solutions for the direct problem.Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM2012-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782012000200010Journal of the Brazilian Society of Mechanical Sciences and Engineering v.34 n.2 2012reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1678-58782012000200010info:eu-repo/semantics/openAccessChalhoub,Ezzat SelimCampos Velho,Haroldo F. deSilva Neto,Antônio José daeng2012-08-01T00:00:00Zoai:scielo:S1678-58782012000200010Revistahttps://www.scielo.br/j/jbsmse/https://old.scielo.br/oai/scielo-oai.php||abcm@abcm.org.br1806-36911678-5878opendoar:2012-08-01T00:00Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Evaluation of radiances generated by solving the radiative-transfer equation with different approaches
title Evaluation of radiances generated by solving the radiative-transfer equation with different approaches
spellingShingle Evaluation of radiances generated by solving the radiative-transfer equation with different approaches
Chalhoub,Ezzat Selim
radiative transfer
Boltzmann equation
Monte Carlo method
Discrete Ordinates method
Laplace Transform Discrete Ordinates method
title_short Evaluation of radiances generated by solving the radiative-transfer equation with different approaches
title_full Evaluation of radiances generated by solving the radiative-transfer equation with different approaches
title_fullStr Evaluation of radiances generated by solving the radiative-transfer equation with different approaches
title_full_unstemmed Evaluation of radiances generated by solving the radiative-transfer equation with different approaches
title_sort Evaluation of radiances generated by solving the radiative-transfer equation with different approaches
author Chalhoub,Ezzat Selim
author_facet Chalhoub,Ezzat Selim
Campos Velho,Haroldo F. de
Silva Neto,Antônio José da
author_role author
author2 Campos Velho,Haroldo F. de
Silva Neto,Antônio José da
author2_role author
author
dc.contributor.author.fl_str_mv Chalhoub,Ezzat Selim
Campos Velho,Haroldo F. de
Silva Neto,Antônio José da
dc.subject.por.fl_str_mv radiative transfer
Boltzmann equation
Monte Carlo method
Discrete Ordinates method
Laplace Transform Discrete Ordinates method
topic radiative transfer
Boltzmann equation
Monte Carlo method
Discrete Ordinates method
Laplace Transform Discrete Ordinates method
description Radiative transfer is the main phenomenon in the basis of several relevant problems of scientific and technological interest. Examples of application of the mathematical and computational modeling of such phenomenon can be found in astronomy, environmental sciences, engineering and medicine among many different areas. The integro-differential equation known as Boltzmann equation describes mathematically the interaction of the radiation with the participating medium, i.e. a medium which may absorb, scatter and emit radiation. Several methods have been developed for the solution of the Bolztmann equation. In the present work we present a comparison of the solutions obtained for the one-dimensional problem with four different methods: (i) Monte Carlo (MC) method; (ii) Discrete Ordinates method (S N) combined with a finite difference approximation; (iii) Analytical Discrete Ordinates method (AS N); and (iv) Laplace Transform Discrete Ordinates method (LTS N). Our final objective is to solve the inverse radiative transfer problem and for that purpose, we want to investigate methods that may provide accurate and fast solutions for the direct problem.
publishDate 2012
dc.date.none.fl_str_mv 2012-06-01
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=S1678-58782012000200010
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782012000200010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1678-58782012000200010
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 Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
publisher.none.fl_str_mv Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
dc.source.none.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering v.34 n.2 2012
reponame:Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
instname_str Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron_str ABCM
institution ABCM
reponame_str Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
collection Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
repository.name.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv ||abcm@abcm.org.br
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