Table of Contents Author Guidelines Submit a Manuscript
Computational and Mathematical Methods in Medicine
Volume 2013, Article ID 638519, 10 pages
http://dx.doi.org/10.1155/2013/638519
Research Article

Numerical Stability of Partitioned Approach in Fluid-Structure Interaction for a Deformable Thin-Walled Vessel

School of Aerospace, Mechanical & Manufacturing Engineering, RMIT University, P.O. Box 71, Bundoora, VIC 3083, Australia

Received 15 May 2013; Accepted 2 September 2013

Academic Editor: Eduardo Soudah

Copyright © 2013 Kelvin K. L. Wong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. Hron and S. Turek, “A monolithic FEM/multigrid solver for ALE formulation of fluid structure interaction with application in biomechanics,” in Fluid-Structure Interaction: Modelling, Simulation, Optimisation, vol. 53, pp. 146–170, Springer, Berlin, Germany, 2006. View at Google Scholar
  2. U. Küttler and W. A. Wall, “Fixed-point fluid-structure interaction solvers with dynamic relaxation,” Computational Mechanics, vol. 43, no. 1, pp. 61–72, 2008. View at Publisher · View at Google Scholar · View at Scopus
  3. C. Förster, W. A. Wall, and E. Ramm, “Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows,” Computer Methods in Applied Mechanics and Engineering, vol. 196, no. 7, pp. 1278–1293, 2007. View at Publisher · View at Google Scholar · View at Scopus
  4. P. Causin, J. F. Gerbeau, and F. Nobile, “Added-mass effect in the design of partitioned algorithms for fluid-structure problems,” Computer Methods in Applied Mechanics and Engineering, vol. 194, no. 42–44, pp. 4506–4527, 2005. View at Publisher · View at Google Scholar · View at Scopus
  5. W. Q. Wang and Y. Yan, “Strongly coupling of partitioned fluid-solid interaction solvers using reduced-order models,” Applied Mathematical Modelling, vol. 34, no. 12, pp. 3817–3830, 2010. View at Publisher · View at Google Scholar · View at Scopus
  6. J. Chung and G. M. Hulbert, “A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized- α method,” Journal of Applied Mechanics, vol. 60, no. 2, pp. 371–375, 1993. View at Publisher · View at Google Scholar · View at Scopus
  7. K. Bathe, The Finite Element Method, Prentice-Hall, Englewood Cliffs, NJ, USA, 1996.
  8. W. Wood, M. Bossak, and O. Zienkiewicz, “An alpha modification of newmark method,” International Journal of Numerical Method in Engineering, vol. 15, p. 1562, 1981. View at Google Scholar
  9. G. Strang, Computational Science and Engineering, Wellesley-Cambridge Press, Wellesley, Mass, USA, 2007.
  10. D. Korteweg, “Über die Fortpflanzungsgeschwindigkeit des Schalles in elastischen Röhren,” Annalen der Physik, vol. 5, no. 12, pp. 525–542, 1878. View at Publisher · View at Google Scholar
  11. A. Moens, Die Pulskurve, Brill, Leiden, The Netherlands, 1878.
  12. E. Wylie and V. Streeter, Fluid Transients, FEB Press, Ann Arbor, Mich, USA, 1983.