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., W.J. Mansur and D.L. Lima

doi:10.3970/cmes.2007.017.019
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 17, No. 1, pp. 19-34, 2007
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Keywords Acoustics; Elastodynamics; Partitioned coupled systems; Finite elements; Finite differences; Multi-level time-steps; Marine risers.
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.
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