A high-order unstructured discontinuous galerkin finite element method for aerodynamics

Detalhes bibliográficos
Autor(a) principal: Rodrigo Costa Moura
Data de Publicação: 2012
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Biblioteca Digital de Teses e Dissertações do ITA
Texto Completo: http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=2158
Resumo: The present thesis discuss in a didactic and detailed way the high-order scheme known as the Discontinuous Galerkin (DG) method, with special focus on applications in aerodynamics. The theoretical formulation of the method is presented in one and two dimensions with great depth, being properly discussed issues of convergence, basis functions, interelement communication, boundary conditions, shock treatment, as well as inviscid and viscous numerical fluxes. As part of this effort, a parallel computer code was developed to simulate the Euler equations of gas dynamics in two dimensions with general boundary conditions over unstructured meshes of triangles. Numerical simulations are addressed in order to demonstrate the characteristics of the Discontinuous Galerkin scheme, as well as to validate the developed solver. It is worth mentioning that the present work can be regarded as new within the Brazilian scientific community and, as such, may be of great importance concerning the introduction of the DG method for Brazilian CFD researchers and practitioners.
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spelling A high-order unstructured discontinuous galerkin finite element method for aerodynamicsDinâmica dos fluidos computacionalMétodo de GalerkinMecânica dos fluidosAerodinâmicaFísicaThe present thesis discuss in a didactic and detailed way the high-order scheme known as the Discontinuous Galerkin (DG) method, with special focus on applications in aerodynamics. The theoretical formulation of the method is presented in one and two dimensions with great depth, being properly discussed issues of convergence, basis functions, interelement communication, boundary conditions, shock treatment, as well as inviscid and viscous numerical fluxes. As part of this effort, a parallel computer code was developed to simulate the Euler equations of gas dynamics in two dimensions with general boundary conditions over unstructured meshes of triangles. Numerical simulations are addressed in order to demonstrate the characteristics of the Discontinuous Galerkin scheme, as well as to validate the developed solver. It is worth mentioning that the present work can be regarded as new within the Brazilian scientific community and, as such, may be of great importance concerning the introduction of the DG method for Brazilian CFD researchers and practitioners.Instituto Tecnológico de AeronáuticaEnda Dimitri Vieira BigarellaMarcos Aurélio OrtegaRodrigo Costa Moura2012-11-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesishttp://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=2158reponame:Biblioteca Digital de Teses e Dissertações do ITAinstname:Instituto Tecnológico de Aeronáuticainstacron:ITAenginfo:eu-repo/semantics/openAccessapplication/pdf2019-02-02T14:04:16Zoai:agregador.ibict.br.BDTD_ITA:oai:ita.br:2158http://oai.bdtd.ibict.br/requestopendoar:null2020-05-28 19:38:22.005Biblioteca Digital de Teses e Dissertações do ITA - Instituto Tecnológico de Aeronáuticatrue
dc.title.none.fl_str_mv A high-order unstructured discontinuous galerkin finite element method for aerodynamics
title A high-order unstructured discontinuous galerkin finite element method for aerodynamics
spellingShingle A high-order unstructured discontinuous galerkin finite element method for aerodynamics
Rodrigo Costa Moura
Dinâmica dos fluidos computacional
Método de Galerkin
Mecânica dos fluidos
Aerodinâmica
Física
title_short A high-order unstructured discontinuous galerkin finite element method for aerodynamics
title_full A high-order unstructured discontinuous galerkin finite element method for aerodynamics
title_fullStr A high-order unstructured discontinuous galerkin finite element method for aerodynamics
title_full_unstemmed A high-order unstructured discontinuous galerkin finite element method for aerodynamics
title_sort A high-order unstructured discontinuous galerkin finite element method for aerodynamics
author Rodrigo Costa Moura
author_facet Rodrigo Costa Moura
author_role author
dc.contributor.none.fl_str_mv Enda Dimitri Vieira Bigarella
Marcos Aurélio Ortega
dc.contributor.author.fl_str_mv Rodrigo Costa Moura
dc.subject.por.fl_str_mv Dinâmica dos fluidos computacional
Método de Galerkin
Mecânica dos fluidos
Aerodinâmica
Física
topic Dinâmica dos fluidos computacional
Método de Galerkin
Mecânica dos fluidos
Aerodinâmica
Física
dc.description.none.fl_txt_mv The present thesis discuss in a didactic and detailed way the high-order scheme known as the Discontinuous Galerkin (DG) method, with special focus on applications in aerodynamics. The theoretical formulation of the method is presented in one and two dimensions with great depth, being properly discussed issues of convergence, basis functions, interelement communication, boundary conditions, shock treatment, as well as inviscid and viscous numerical fluxes. As part of this effort, a parallel computer code was developed to simulate the Euler equations of gas dynamics in two dimensions with general boundary conditions over unstructured meshes of triangles. Numerical simulations are addressed in order to demonstrate the characteristics of the Discontinuous Galerkin scheme, as well as to validate the developed solver. It is worth mentioning that the present work can be regarded as new within the Brazilian scientific community and, as such, may be of great importance concerning the introduction of the DG method for Brazilian CFD researchers and practitioners.
description The present thesis discuss in a didactic and detailed way the high-order scheme known as the Discontinuous Galerkin (DG) method, with special focus on applications in aerodynamics. The theoretical formulation of the method is presented in one and two dimensions with great depth, being properly discussed issues of convergence, basis functions, interelement communication, boundary conditions, shock treatment, as well as inviscid and viscous numerical fluxes. As part of this effort, a parallel computer code was developed to simulate the Euler equations of gas dynamics in two dimensions with general boundary conditions over unstructured meshes of triangles. Numerical simulations are addressed in order to demonstrate the characteristics of the Discontinuous Galerkin scheme, as well as to validate the developed solver. It is worth mentioning that the present work can be regarded as new within the Brazilian scientific community and, as such, may be of great importance concerning the introduction of the DG method for Brazilian CFD researchers and practitioners.
publishDate 2012
dc.date.none.fl_str_mv 2012-11-06
dc.type.driver.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/masterThesis
status_str publishedVersion
format masterThesis
dc.identifier.uri.fl_str_mv http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=2158
url http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=2158
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Instituto Tecnológico de Aeronáutica
publisher.none.fl_str_mv Instituto Tecnológico de Aeronáutica
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações do ITA
instname:Instituto Tecnológico de Aeronáutica
instacron:ITA
reponame_str Biblioteca Digital de Teses e Dissertações do ITA
collection Biblioteca Digital de Teses e Dissertações do ITA
instname_str Instituto Tecnológico de Aeronáutica
instacron_str ITA
institution ITA
repository.name.fl_str_mv Biblioteca Digital de Teses e Dissertações do ITA - Instituto Tecnológico de Aeronáutica
repository.mail.fl_str_mv
subject_por_txtF_mv Dinâmica dos fluidos computacional
Método de Galerkin
Mecânica dos fluidos
Aerodinâmica
Física
_version_ 1706809280121798656

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