Numerical analysis of some decoupling techniques for the approximation of the unsteady fluid structure interaction

Mathematical Models and Methods in Applied Sciences

Volumn 11, Issue 8, 2001, Pages 1349-1377

  Grandmont, C ^a   Guimet, V ^b,c   Maday, Y ^d,e  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

^b ONERA   (France)

^c UNIVERSITY OF MANCHESTER   (United Kingdom)

^d SORBONNE UNIVERSITÉ   (France)

^e UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035638389     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202501001367     Document Type: Article

References (14)

1. P. G. Ciarlet, The Finite Element Method for Elliptic Problems, Studies in Mathematics and its Applications, Vol. 4 (North-Holland, 1978).
2. C. Conca, J. San Martin and M. Tucsnack, Motion of a rigid body in a viscous fluid, C. R. Acad. Sci. Paris Sér. I Math. 328 (1999) 473-478.
3. B. Desjardins and M. J. Esteban, Existence of weak solutions for the motion of rigid bodies in a viscous fluid, Arch. Rational Mech. Anal. 146 (1999) 59-71.
4. B. Desjardins and M. J. Esteban, On weak solutions for fluid-rigid structure interaction: compressible and incompressible, Comm. Partial Differential Equations 25 (2000) 1399-1413.
5. J. Donea, S. Giuliani and J. P. Halleux, An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions, Comp. Methods Appl. Mech. Engrg. 33 (1982).
6. D. Errate, Étude mathématique et numérique de l'interaction instationnaire fluide-structure en grandes déformations, Thèse de doctorat de l'Université Paris VI (1996).
7. D. Errate, M. Esteban and Y. Maday, Couplage fluide-structure. Un modèle simplifié en dimension 1, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994) 275-281.
8. C. Grandmont and Y. Maday, Existence for a 3D fluid-structure interaction problem, Math. Model. Numer. Anal. 34 (2000) 609-636.
9. V. Girault and P. A. Raviart, Finite Element Methods for Navier-Stokes Equations (Springer-Verlag, 1986).
10. T. J. R. Hughes, W. Liu and T. K. Zimmerman, Lagrangian-Eulerian finite element formulation for incompressible viscous flows, Comput. Methods Appl. Mech. Engrg. 29 (1981) 329-349.
11. B. Maury, Résolution numérique des équations de Navier-Stokes 2D et 3D avec surface libre par une méthode Euler-Lagrange arbitraire, Thèse de doctorat de l'Université Paris VI (1995).
12. J. Mouro and P. Le Tallec, Structure en grands déplacement couplées à des fluides en mouvement, Rapport INRIA No2961 (1996).
13. S. Piperno, C. Farhat and B. Larrouturou, Partioned procedures for the transient solution of coupled aeroelastic problems. Part I: Model problem, theory, and two-dimensional application, Comput. Methods Appl. Mech. Engrg. 124 (1995) 79-112.
14. S. Piperno and C. Farhat, Partioned procedures for the transient solution of coupled aeroelastic problems. Part II: Energy transfer analysis and three-dimensional applications, preprint, Center for Aerospace Structures, Boulder, Colorado (1999).