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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todo:paper_00255718_v67_n221_p111_Bermudez2023-10-03T14:36:10Z Finite element analysis of compressible and incompressible fluid-solid systems 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. JOUR 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 |
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Universidad de Buenos Aires |
institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 |
JOUR |
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 |
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 |
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1782029984205897728 |