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An Explicit Multi-Level Time-Step Algorithm to Model the Propagation of Interacting Acoustic-Elastic Waves Using Finite Element/Finite Difference Coupled Procedures

D. Soares Jr.1,2, W.J. Mansur1, D.L. Lima3
Civil Engineering Department, COPPE/UFRJ, CXP68506, CEP 21945-970, Rio de Janeiro, RJ, Brazil.Emails: webe@coc.ufrj.br; delfim@coc.ufrj.br
Structural Engineering Department, UFJF, Cidade Univer-sitária, CEP 36036-330, Juiz de Fora, MG, Brazil.
Submarine Technology, CENPES/PETROBRAS, Ilha doFundão, CEP 21949-900, Rio de Janeiro, RJ, Brazil.

Computer Modeling in Engineering & Sciences 2007, 17(1), 19-34. https://doi.org/10.3970/cmes.2007.017.019

Abstract

The present paper discussion is concerned with the development of robust and efficient algorithms to model propagation of interacting acoustic and elastic waves. The paper considers acoustic-elastic, acoustic-acoustic and elastic-elastic partitioned analyses of coupled systems; however, the focus here is the acoustic-elastic coupling considering finite elements and the acoustic-acoustic coupling considering finite elements and finite differences (other coupling procedures can be implemented analogously). One important feature of the algorithms presented is that they allow considering different time-steps for different sub-domains; so it is possible to substantially improve efficiency, accuracy and stability of the central difference time integration algorithm employed here. Three examples, presented at the end of the paper, show the excellent performance of the algorithms developed.

Keywords

Acoustics, Elastodynamics, Partitioned coupled systems, Finite elements, Finite differences, Multi-level time-steps, Marine risers.

Cite This Article

Jr., D. S., Mansur, W., Lima, D. (2007). An Explicit Multi-Level Time-Step Algorithm to Model the Propagation of Interacting Acoustic-Elastic Waves Using Finite Element/Finite Difference Coupled Procedures. CMES-Computer Modeling in Engineering & Sciences, 17(1), 19–34.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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