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An hexaedral face element for the displacement formulation of structural acoustics problems

An hexaedral face element for the displacement formulation of structural acoustics problems
An hexaedral face element for the displacement formulation of structural acoustics problems
Several finite element methods for the numerical computation of elastoacoustic vibrations are compared. They are applied to two formulations based on different variables to describe the fluid: presssure and displacement potential in one case, and displacements in the other. While the first one is discretized by standard Lagrangean finite elements for both variables, the second one is solved by "face" Raviart-Thomas elements. In each case we consider both tetrahedral and hexahedral meshes. Elastoacoustic eigenmodes have been computed for a test example by means of MATLAB implementations of all these methods. The numerical results allow us to compare all of them in terms of error versus number of degrees of freedom and computing time.
911-918
Bermudez, Alfredo
c5051da6-b88f-4860-8352-1f524c786d83
Gamallo, Pablo
23ae154c-ad56-480b-8a17-4d5581f10009
Rodriguez, Rodolfo
3049d3a6-9f38-4420-968b-7b110e445425
Bermudez, Alfredo
c5051da6-b88f-4860-8352-1f524c786d83
Gamallo, Pablo
23ae154c-ad56-480b-8a17-4d5581f10009
Rodriguez, Rodolfo
3049d3a6-9f38-4420-968b-7b110e445425

Bermudez, Alfredo, Gamallo, Pablo and Rodriguez, Rodolfo (2001) An hexaedral face element for the displacement formulation of structural acoustics problems. Journal of Computational Acoustics, 9 (3), 911-918. (doi:10.1142/S0218396X01000851).

Record type: Article

Abstract

Several finite element methods for the numerical computation of elastoacoustic vibrations are compared. They are applied to two formulations based on different variables to describe the fluid: presssure and displacement potential in one case, and displacements in the other. While the first one is discretized by standard Lagrangean finite elements for both variables, the second one is solved by "face" Raviart-Thomas elements. In each case we consider both tetrahedral and hexahedral meshes. Elastoacoustic eigenmodes have been computed for a test example by means of MATLAB implementations of all these methods. The numerical results allow us to compare all of them in terms of error versus number of degrees of freedom and computing time.

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More information

Published date: September 2001
Additional Information: Presented at ICTCA'99, the 4th International Conference on Theoretical and Computational Acoustics, May 1999, Trieste, Italy.

Identifiers

Local EPrints ID: 10202
URI: http://eprints.soton.ac.uk/id/eprint/10202
PURE UUID: 89f0cd1e-a245-40fc-b988-00ced3e16034

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Date deposited: 24 Feb 2005
Last modified: 07 Jan 2022 22:00

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Contributors

Author: Alfredo Bermudez
Author: Pablo Gamallo
Author: Rodolfo Rodriguez

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