||CMES: Computer Modeling in Engineering & Sciences, Vol. 17, No. 1, pp. 19-34, 2007
||Full length paper in PDF format. Size = 774,571 bytes
||Acoustics; Elastodynamics; Partitioned coupled systems; Finite elements; Finite differences; Multi-level time-steps; Marine risers.
||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.