A note on the Riemann problem for the random transport equation

Detalhes bibliográficos
Autor(a) principal: Cunha,Maria Cristina de Castro
Data de Publicação: 2007
Outros Autores: Dorini,Fábio Antonio
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300002
Resumo: We present an explicit expression to the solution of the random Riemann problem for the 1D random linear transport equation. We show that the random solution is a similarity solution and the statistical moments have very simple expressions. Furthermore, we verify that the mean, the variance, and the 3rd central moment agree quite well with Monte Carlo simulations. We point out that our approach could be useful in designing numerical methods for more general random transport problems.
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spelling A note on the Riemann problem for the random transport equationrandom linear transport equationRiemann problemWe present an explicit expression to the solution of the random Riemann problem for the 1D random linear transport equation. We show that the random solution is a similarity solution and the statistical moments have very simple expressions. Furthermore, we verify that the mean, the variance, and the 3rd central moment agree quite well with Monte Carlo simulations. We point out that our approach could be useful in designing numerical methods for more general random transport problems.Sociedade Brasileira de Matemática Aplicada e Computacional2007-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300002Computational & Applied Mathematics v.26 n.3 2007reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S0101-82052007000300002info:eu-repo/semantics/openAccessCunha,Maria Cristina de CastroDorini,Fábio Antonioeng2007-11-22T00:00:00Zoai:scielo:S1807-03022007000300002Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2007-11-22T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv A note on the Riemann problem for the random transport equation
title A note on the Riemann problem for the random transport equation
spellingShingle A note on the Riemann problem for the random transport equation
Cunha,Maria Cristina de Castro
random linear transport equation
Riemann problem
title_short A note on the Riemann problem for the random transport equation
title_full A note on the Riemann problem for the random transport equation
title_fullStr A note on the Riemann problem for the random transport equation
title_full_unstemmed A note on the Riemann problem for the random transport equation
title_sort A note on the Riemann problem for the random transport equation
author Cunha,Maria Cristina de Castro
author_facet Cunha,Maria Cristina de Castro
Dorini,Fábio Antonio
author_role author
author2 Dorini,Fábio Antonio
author2_role author
dc.contributor.author.fl_str_mv Cunha,Maria Cristina de Castro
Dorini,Fábio Antonio
dc.subject.por.fl_str_mv random linear transport equation
Riemann problem
topic random linear transport equation
Riemann problem
description We present an explicit expression to the solution of the random Riemann problem for the 1D random linear transport equation. We show that the random solution is a similarity solution and the statistical moments have very simple expressions. Furthermore, we verify that the mean, the variance, and the 3rd central moment agree quite well with Monte Carlo simulations. We point out that our approach could be useful in designing numerical methods for more general random transport problems.
publishDate 2007
dc.date.none.fl_str_mv 2007-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300002
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0101-82052007000300002
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 Computational & Applied Mathematics v.26 n.3 2007
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
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reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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