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 |
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paperaa:paper_00255718_v67_n221_p111_Bermudez2023-06-12T16:45:07Z Finite element analysis of compressible and incompressible fluid-solid systems Math. Comput. 1998;67(221):111-136 Bermúdez, A. Durán, R. Rodríguez, R. 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. 1998 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00255718_v67_n221_p111_Bermudez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| 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 |
| work_keys_str_mv |
AT bermudeza finiteelementanalysisofcompressibleandincompressiblefluidsolidsystems AT duranr finiteelementanalysisofcompressibleandincompressiblefluidsolidsystems AT rodriguezr finiteelementanalysisofcompressibleandincompressiblefluidsolidsystems |
| _version_ |
1769810169016877056 |