In previous work of the authors, 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. © 2011 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Degroote, J., Annerel, S., & Vierendeels, J. (2011). Multi-level quasi-newton methods for the partitioned simulation of fluid-structure interaction. In Computational Fluid Dynamics 2010 - Proceedings of the 6th International Conference on Computational Fluid Dynamics, ICCFD 2010 (pp. 695–700). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-642-17884-9_88
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