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A projection algorithm for fluid-structure interaction problems with strong added-mass effect. (English) Zbl 1148.74020
Summary: This Note aims at introducing a semi-implicit coupling scheme for fluid-structure interaction problems with a strong added-mass effect. Our main idea relies on the splitting of added-mass, viscous effects and geometrical/convective nonlinearities, through a Chorin-Temam projection scheme within the fluid. We state some theoretical stability results, in the linear case, and provide some numerical experiments. The main interest of the proposed scheme is its efficiency compared to the implicit approach.

74F10Fluid-solid interactions
65M06Finite difference methods (IVP of PDE)
74S30Other numerical methods in solid mechanics
76M25Other numerical methods (fluid mechanics)
Full Text: DOI
[1] Causin, P.; Gerbeau, J. -F.; Nobile, F.: Added-mass effect in the design of partitioned algorithms for fluid -- structure problems. Comput. methods appl. Mech. engrg. 194, No. 42 -- 44, 4506-4527 (2005) · Zbl 1101.74027
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[11] D.P. Mok, W.A. Wall, E. Ramm, Partitioned analysis approach for the transient, coupled response of viscous fluids and flexible structures, in: W. Wunderlich (Ed.), Proceedings of the European Conference on Computational Mechanics, ECCM’99, TU Munich, 1999
[12] F. Nobile, Numerical approximation of fluid -- structure interaction problems with application to haemodynamics, PhD thesis, EPFL, Switzerland, 2001