Numerical Approximation of an Axisymmetric Elastoacoustic Eigenvalue Problem

Numerical Approximation of an Axisymmetric Elastoacoustic Eigenvalue Problem

Year:    2023

Author:    J. Querales, P. Venegas

Communications in Computational Physics, Vol. 34 (2023), Iss. 5 : pp. 1420–1438

Abstract

This paper deals with the numerical approximation of a pressure/displacement formulation of the elastoacoustic vibration problem in the axisymmetric case. We propose and analyze a discretization based on Lagrangian finite elements in the fluid and solid domains. We show that the scheme provides a correct approximation of the spectrum and prove quasi-optimal error estimates. We report numerical results to validate the proposed methodology for elastoacoustic vibrations.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2023-0179

Communications in Computational Physics, Vol. 34 (2023), Iss. 5 : pp. 1420–1438

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Axisymmetric problem fluid-structure interaction spectral problem finite element method.

Author Details

J. Querales

P. Venegas