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Multi-level quasi-Newton methods for the partitioned simulation of fluid-structure interaction

Joris Degroote (UGent) , Sebastiaan Annerel (UGent) and Jan Vierendeels (UGent)
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Abstract
In previous work, Fourier stability analyses have been performed of Gauss-Seidel iterations between the flow solver and the structural solver in a partitioned fluid-structure interaction simulation. These analyses of the flow in an elastic tube demonstrated that only a number of Fourier modes in the error on the interface displacement are unstable. Moreover, the modes with a low wave number are most unstable and these modes can be resolved on a coarser grid. Therefore, a new class of quasi-Newton methods with more than one grid level is introduced. Numerical experiments show a significant reduction in run time.

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Chicago
Degroote, Joris, Sebastiaan Annerel, and Jan Vierendeels. 2010. “Multi-level quasi-Newton Methods for the Partitioned Simulation of Fluid-structure Interaction.” In Computational Fluid Dynamics, 6th International Conference, Proceedings, ed. A Kuzmin, 1–6. St. Petersburg, Russia: VVM Publishing Co.
APA
Degroote, Joris, Annerel, S., & Vierendeels, J. (2010). Multi-level quasi-Newton methods for the partitioned simulation of fluid-structure interaction. In A Kuzmin (Ed.), Computational Fluid Dynamics, 6th International conference, Proceedings (pp. 1–6). Presented at the 6th International conference on Computational Fluid Dynamics (ICCFD 6), St. Petersburg, Russia: VVM Publishing Co.
Vancouver
1.
Degroote J, Annerel S, Vierendeels J. Multi-level quasi-Newton methods for the partitioned simulation of fluid-structure interaction. In: Kuzmin A, editor. Computational Fluid Dynamics, 6th International conference, Proceedings. St. Petersburg, Russia: VVM Publishing Co; 2010. p. 1–6.
MLA
Degroote, Joris, Sebastiaan Annerel, and Jan Vierendeels. “Multi-level quasi-Newton Methods for the Partitioned Simulation of Fluid-structure Interaction.” Computational Fluid Dynamics, 6th International Conference, Proceedings. Ed. A Kuzmin. St. Petersburg, Russia: VVM Publishing Co, 2010. 1–6. Print.
@inproceedings{1106503,
  abstract     = {In previous work, Fourier stability analyses have been performed of Gauss-Seidel iterations between the flow solver and the structural solver in a partitioned fluid-structure interaction simulation. These analyses of the flow in an elastic tube demonstrated that only a number of Fourier modes in the error on the interface displacement are unstable. Moreover, the modes with a low wave number are most unstable and these modes can be resolved on a coarser grid. Therefore, a new class of quasi-Newton methods with more than one grid level is introduced. Numerical experiments show a significant reduction in run time.},
  author       = {Degroote, Joris and Annerel, Sebastiaan and Vierendeels, Jan},
  booktitle    = {Computational Fluid Dynamics, 6th International conference, Proceedings},
  editor       = {Kuzmin, A},
  isbn         = {9785965104710},
  language     = {eng},
  location     = {Sint-Petersburg, Russia},
  pages        = {1--6},
  publisher    = {VVM Publishing Co},
  title        = {Multi-level quasi-Newton methods for the partitioned simulation of fluid-structure interaction},
  year         = {2010},
}