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Abstract:

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.

Registro:

Documento: Artículo
Título:Finite element analysis of compressible and incompressible fluid-solid systems
Autor:Bermúdez, A.; Durán, R.; Rodríguez, R.
Filiación:Depto. de Matemática Aplicada, Univ. de Santiago de Compostela, 15706 Santiago de Compostela, Spain
Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 - Buenos Aires, Argentina
Depto. de Ing. Matemática, Universidad de Concepción, Casilla 4009, Concepción, Chile
Año:1998
Volumen:67
Número:221
Página de inicio:111
Página de fin:136
DOI: http://dx.doi.org/10.1090/S0025-5718-98-00901-6
Título revista:Mathematics of Computation
Título revista abreviado:Math. Comput.
ISSN:00255718
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00255718_v67_n221_p111_Bermudez.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255718_v67_n221_p111_Bermudez

Referencias:

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Citas:

---------- APA ----------
Bermúdez, A., Durán, R. & Rodríguez, R. (1998) . Finite element analysis of compressible and incompressible fluid-solid systems. Mathematics of Computation, 67(221), 111-136.
http://dx.doi.org/10.1090/S0025-5718-98-00901-6
---------- CHICAGO ----------
Bermúdez, A., Durán, R., Rodríguez, R. "Finite element analysis of compressible and incompressible fluid-solid systems" . Mathematics of Computation 67, no. 221 (1998) : 111-136.
http://dx.doi.org/10.1090/S0025-5718-98-00901-6
---------- MLA ----------
Bermúdez, A., Durán, R., Rodríguez, R. "Finite element analysis of compressible and incompressible fluid-solid systems" . Mathematics of Computation, vol. 67, no. 221, 1998, pp. 111-136.
http://dx.doi.org/10.1090/S0025-5718-98-00901-6
---------- VANCOUVER ----------
Bermúdez, A., Durán, R., Rodríguez, R. Finite element analysis of compressible and incompressible fluid-solid systems. Math. Comput. 1998;67(221):111-136.
http://dx.doi.org/10.1090/S0025-5718-98-00901-6