Green's function based finite element formulations for isotropic seepage analysis with free surface

Detalhes bibliográficos
Autor(a) principal: Wang,Hui
Data de Publicação: 2015
Outros Autores: Gao,Ya-Ting, Qin,Qing-Hua
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Latin American journal of solids and structures (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001001991
Resumo: Abstract A solution procedure using the Green's function based finite element method (FEM) is presented for two-dimensional nonlinear steady-state seepage analysis with the presence of free surface in isotropic dams. In the present algorithm, an iteration strategy is designed to convert the over-specified free surface problem to a regular partial differential equation problem. Then, at each iteration step, the Green's function for isotropic linear seepage partial differential equation is employed to construct the element interior water head field, while the conventional shape functions are used for the independent element frame water head field. Then these two independent fields are connected by a double-variable hybrid functional to produce the final solving equation system. By means of the physical definition of Green's function, all two-dimensional element domain integrals in the present algorithm can reduce to one-dimensional element boundary integrals, so that versatile multi-node element is constructed to simplify mesh reconstruction during iteration. Finally, numerical results from the present Green's function based FEM with isotropic Green's function kernels are compared with other numerical results to verify and demonstrate the performance of the present method.
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spelling Green's function based finite element formulations for isotropic seepage analysis with free surfaceSeepagefree surfaceisotropic damhybrid finite element methodGreen's functionAbstract A solution procedure using the Green's function based finite element method (FEM) is presented for two-dimensional nonlinear steady-state seepage analysis with the presence of free surface in isotropic dams. In the present algorithm, an iteration strategy is designed to convert the over-specified free surface problem to a regular partial differential equation problem. Then, at each iteration step, the Green's function for isotropic linear seepage partial differential equation is employed to construct the element interior water head field, while the conventional shape functions are used for the independent element frame water head field. Then these two independent fields are connected by a double-variable hybrid functional to produce the final solving equation system. By means of the physical definition of Green's function, all two-dimensional element domain integrals in the present algorithm can reduce to one-dimensional element boundary integrals, so that versatile multi-node element is constructed to simplify mesh reconstruction during iteration. Finally, numerical results from the present Green's function based FEM with isotropic Green's function kernels are compared with other numerical results to verify and demonstrate the performance of the present method.Associação Brasileira de Ciências Mecânicas2015-10-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001001991Latin American Journal of Solids and Structures v.12 n.10 2015reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78251726info:eu-repo/semantics/openAccessWang,HuiGao,Ya-TingQin,Qing-Huaeng2015-11-19T00:00:00Zoai:scielo:S1679-78252015001001991Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2015-11-19T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Green's function based finite element formulations for isotropic seepage analysis with free surface
title Green's function based finite element formulations for isotropic seepage analysis with free surface
spellingShingle Green's function based finite element formulations for isotropic seepage analysis with free surface
Wang,Hui
Seepage
free surface
isotropic dam
hybrid finite element method
Green's function
title_short Green's function based finite element formulations for isotropic seepage analysis with free surface
title_full Green's function based finite element formulations for isotropic seepage analysis with free surface
title_fullStr Green's function based finite element formulations for isotropic seepage analysis with free surface
title_full_unstemmed Green's function based finite element formulations for isotropic seepage analysis with free surface
title_sort Green's function based finite element formulations for isotropic seepage analysis with free surface
author Wang,Hui
author_facet Wang,Hui
Gao,Ya-Ting
Qin,Qing-Hua
author_role author
author2 Gao,Ya-Ting
Qin,Qing-Hua
author2_role author
author
dc.contributor.author.fl_str_mv Wang,Hui
Gao,Ya-Ting
Qin,Qing-Hua
dc.subject.por.fl_str_mv Seepage
free surface
isotropic dam
hybrid finite element method
Green's function
topic Seepage
free surface
isotropic dam
hybrid finite element method
Green's function
description Abstract A solution procedure using the Green's function based finite element method (FEM) is presented for two-dimensional nonlinear steady-state seepage analysis with the presence of free surface in isotropic dams. In the present algorithm, an iteration strategy is designed to convert the over-specified free surface problem to a regular partial differential equation problem. Then, at each iteration step, the Green's function for isotropic linear seepage partial differential equation is employed to construct the element interior water head field, while the conventional shape functions are used for the independent element frame water head field. Then these two independent fields are connected by a double-variable hybrid functional to produce the final solving equation system. By means of the physical definition of Green's function, all two-dimensional element domain integrals in the present algorithm can reduce to one-dimensional element boundary integrals, so that versatile multi-node element is constructed to simplify mesh reconstruction during iteration. Finally, numerical results from the present Green's function based FEM with isotropic Green's function kernels are compared with other numerical results to verify and demonstrate the performance of the present method.
publishDate 2015
dc.date.none.fl_str_mv 2015-10-01
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=S1679-78252015001001991
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001001991
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78251726
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
dc.source.none.fl_str_mv Latin American Journal of Solids and Structures v.12 n.10 2015
reponame:Latin American journal of solids and structures (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 Latin American journal of solids and structures (Online)
collection Latin American journal of solids and structures (Online)
repository.name.fl_str_mv Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv abcm@abcm.org.br||maralves@usp.br
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