An added-mass free semi-implicit coupling scheme for fluid-structure interaction

Comptes Rendus Mathematique

Volumn 347, Issue 1-2, 2009, Pages 99-104

  Astorino, Matteo ^a   Chouly, Franz ^a   Fernández, Miguel A ^a  

^a INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58249143165     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2008.11.003     Document Type: Article

References (9)

1. M. Astorino, F. Chouly, M.A. Fernández, An added-mass free semi-implicit coupling scheme in fluid-structure interaction: numerical analysis and applications, in preparation
2. Becker R., Hansbo P., and Stenberg R. A finite element method for domain decomposition with non-matching grids. M2AN Math. Model. Numer. Anal. 37 2 (2003) 209-225
3. Burman E., and Fernández M.A. Stabilized explicit coupling for fluid-structure interaction using Nitsche's method. C. R. Math. Acad. Sci. Paris 345 8 (2007) 467-472
4. E. Burman, M.A. Fernández, Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility, INRIA Research Report RR-6445, 2008, Comput. Methods Appl. Mech. Engrg., doi:10.1016/j.cma.2008.10.012, http://dx.doi.org/10.1016/j.cma.2008.10.012
5. Causin P., Gerbeau J.-F., and Nobile F. Added-mass effect in the design of partitioned algorithms for fluid-structure problems. Comput. Methods Appl. Mech. Engrg. 194 42-44 (2005) 4506-4527
6. Fernández M.A., Gerbeau J.F., and Grandmont C. A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid. Int. J. Numer. Meth. Engrg. 69 4 (2007) 794-821
7. In: Formaggia L., Quarteroni A., and Veneziani A. (Eds). Cardiovascular Mathematics vol. 1 (2009), Springer-Verlag Chapter 9: Algorithms for fluid-structure interaction problems. Modeling, Simulation and Applications
8. F. Hecht, O. Pironneau, A. Le Hyaric, K. Ohtsuka, FreeFem++ v. 2.11. User's Manual, University of Paris 6
9. Quaini A., and Quarteroni A. A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method. Math. Models Methods Appl. Sci. 17 6 (2007) 957-983