Finite element analysis of compressible and incompressible fluid-solid systems
This paper deals with a finite element method to solve interior fluid-structure vibration problems valid for compressible and incompressible fluids. It is based on a displacement formulation for both the fluid and the solid. The pressure of the fluid is also used as a variable for the theoretical an...
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1998
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00255718_v67_n221_p111_Bermudez http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00255718_v67_n221_p111_Bermudez_oai |
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I28-R145-paper_00255718_v67_n221_p111_Bermudez_oai2020-10-19 Bermúdez, A. Durán, R. Rodríguez, R. 1998 This paper deals with a finite element method to solve interior fluid-structure vibration problems valid for compressible and incompressible fluids. It is based on a displacement formulation for both the fluid and the solid. The pressure of the fluid is also used as a variable for the theoretical analysis yielding a well posed mixed linear eigenvalue problem. Lowest order triangular Raviart-Thomas elements are used for the fluid and classical piece-wise linear elements for the solid. Transmission conditions at the fluid-solid interface are taken into account in a weak sense yielding a nonconforming discretization. The method does not present spurious or circulation modes for nonzero frequencies. Convergence is proved and error estimates independent of the acoustic speed are given. For incompressible fluids, a convenient equivalent stream function formulation and a post-process to compute the pressure are introduced. Fil:Durán, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00255718_v67_n221_p111_Bermudez info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Math. Comput. 1998;67(221):111-136 Finite element analysis of compressible and incompressible fluid-solid systems info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00255718_v67_n221_p111_Bermudez_oai |
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Universidad de Buenos Aires |
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I-28 |
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R-145 |
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Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| description |
This paper deals with a finite element method to solve interior fluid-structure vibration problems valid for compressible and incompressible fluids. It is based on a displacement formulation for both the fluid and the solid. The pressure of the fluid is also used as a variable for the theoretical analysis yielding a well posed mixed linear eigenvalue problem. Lowest order triangular Raviart-Thomas elements are used for the fluid and classical piece-wise linear elements for the solid. Transmission conditions at the fluid-solid interface are taken into account in a weak sense yielding a nonconforming discretization. The method does not present spurious or circulation modes for nonzero frequencies. Convergence is proved and error estimates independent of the acoustic speed are given. For incompressible fluids, a convenient equivalent stream function formulation and a post-process to compute the pressure are introduced. |
| format |
Artículo Artículo publishedVersion |
| author |
Bermúdez, A. Durán, R. Rodríguez, R. |
| spellingShingle |
Bermúdez, A. Durán, R. Rodríguez, R. Finite element analysis of compressible and incompressible fluid-solid systems |
| author_facet |
Bermúdez, A. Durán, R. Rodríguez, R. |
| author_sort |
Bermúdez, A. |
| title |
Finite element analysis of compressible and incompressible fluid-solid systems |
| title_short |
Finite element analysis of compressible and incompressible fluid-solid systems |
| title_full |
Finite element analysis of compressible and incompressible fluid-solid systems |
| title_fullStr |
Finite element analysis of compressible and incompressible fluid-solid systems |
| title_full_unstemmed |
Finite element analysis of compressible and incompressible fluid-solid systems |
| title_sort |
finite element analysis of compressible and incompressible fluid-solid systems |
| publishDate |
1998 |
| url |
http://hdl.handle.net/20.500.12110/paper_00255718_v67_n221_p111_Bermudez http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00255718_v67_n221_p111_Bermudez_oai |
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AT bermudeza finiteelementanalysisofcompressibleandincompressiblefluidsolidsystems AT duranr finiteelementanalysisofcompressibleandincompressiblefluidsolidsystems AT rodriguezr finiteelementanalysisofcompressibleandincompressiblefluidsolidsystems |
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1766026614677700608 |