Coupling strategies for biomedical fluid-structure interaction problems

International Journal for Numerical Methods in Biomedical Engineering

Volumn 26, Issue 3-4, 2010, Pages 305-321

  Kuttler U ^a   Gee, M ^a   Forster Ch ^a   Comerford, A ^a   Wall, W A ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Biomechanics; Coupling strategies; Fluid structure interaction

Indexed keywords

BENCH-MARK PROBLEMS; BIOMEDICAL FLUIDS; COSTS AND BENEFITS;

BIOMECHANICS; BIOPHYSICS; FLUIDS; THIN WALLED STRUCTURES;

FLUID STRUCTURE INTERACTION;

EID: 77953115045     PISSN: 20407939     EISSN: 20407947     Source Type: Journal    
DOI: 10.1002/cnm.1281     Document Type: Article

References (26)

1. Causin P, Gerbeau J-F, Nobile F. Added-mass effect in the design of partitioned algorithms for fluid-structure problems. Computer Methods in Applied Mechanics and Engineering 2005; 194:4506-4527
2. Förster Ch, Wall WA, Ramm E. Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows. Computer Methods in Applied Mechanics and Engineering 2007; 196:1278-1293.
3. Gerbeau J-F, Vidrascu M, Frey P. Fluid-structure interaction in blood flows on geometries coming from medical imaging. Computers and Structures 2005; 83:155-165.
4. Tezduyar TE, Sathe S, Cragin T, Nanna B, Conklin BS, Pausewang J, Schwaab M. Modelling of fluid-structure interactions with the space-time finite elements: Arterial fluid mechanics. International Journal for Numerical Methods in Fluids 2007; 54:(6-8):901-922.
5. Tezduyar TE, Sathe S. Modelling of fluid-structure interactions with the space-time finite elements: solution techniques. International Journal for Numerical Methods in Fluids 2007; 54:(6-8):855-900.
6. Küttler U, Wall WA. Fixed-point fluid-structure interaction solvers with dynamic relaxation. Computational Mechanics 2008; 43:(1):61-72.
7. Küttler U, Wall WA. Vector extrapolation for strong coupling fluid-structure interaction solvers. Journal of Applied Mechanics 2009; 76(2):021205-1-021205-7.
8. Heil M. An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems. Computer Methods in Applied Mechanics and Engineering 2004; 193:1-23.
9. Bazilevs Y, Calo VM, Zhang Y, Hughes TJR. Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Computational Mechanics 2006; 38(4-5):310-322.
10. Badia S, Quaini A, Quarteroni A. Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect. Computer Methods in Applied Mechanics and Engineering 2008; 197(49-50):4216-4232.
11. Heil M, Hazel AL, Boyle J. Solvers for large-displacement fluid-structure interaction problems: segregated versus monolithic approaches. Computational Mechanics 2008; 43(1):91-101.
12. Gerstenberger A, Wall WA. An extended finite element method/Lagrange multiplier based approach for fluid-structure interaction. Computer Methods in Applied Mechanics and Engineering 2008; 197:1699-1714.
13. Wall WA, Gamnitzer P, Gerstenberger A. Fluid-structure interaction approaches on fixed grids based on two different domain decomposition ideas. International Journal of Computational Fluid Dynamics 2008; 22:411-427.
14. Mok DP, Wall WA. Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear flexible structures. In Trends in Computational Structural Mechanics, Wall W-A, Bletzinger KU, Schweitzerhof K (eds). CIMNE: Barcelona, 2001
15. Le Tallec P, Mouro J. Fluid structure interaction with large structural displacements. Computer Methods in Applied Mechanics and Engineering 2001; 190:(24-25):3039-3067.
16. Irons B, Tuck RC. A version of the Aitken accelerator for computer implementation. International Journal for Numerical Methods in Engineering 1969; 1:275-277.
17. Smith DA, Ford WF, Sidi A. Extrapolation methods for vector sequences. SIAM Review 1987; 29(2):199-233.
18. Smith DA, Ford WF, Sidi A. Erratum: correction to extrapolation methods for vector sequences. SIAM Review 1988; 30(4):623-624.
19. Sidi A. Efficient implementation of minimal polynomial and reduced rank extrapolation methods. Journal of Computational and Applied Mathematics 1991; 36(3):305-337.
20. Kelley CT. Iterative Methods for Linear and Nonlinear Equations Frontiers in Applied Mathematics. SIAM: Philadelphia, PA, 1995.
21. Knoll DA, Keyes DE. Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Journal of Computational Physics 2004; 193:357-397.
22. Fernańdez MÁ, Moubachir M. A Newton method using exact Jacobians for solving fluid-structure coupling. Computers and Structures 2005; 83(2-3):127-142.
23. Gerbeau J-F, Vidrascu M. A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. Mathematical Modelling and Numerical Analysis 2003; 37(4):631-647.
24. Vaněk P, Mandel J, Brezina M. Algebraic multigrid based on smoothed aggregation for second and fourth order problems. Computing 1996; 56:179-196.
25. Sala M, Tuminaro RS. A new Petrov-Galerkin smoothed aggregation preconditioner for nonsymmetric linear systems. SIAM Journal on Scientific Computing 2008; 31:143-166.
26. Humphrey JD, Taylor CA. Intracranial and abdominal aortic aneurysms: similarities, differences, and need for a new class of computational models. Annual Review of Biomedical Engineering 2008; 10:221-246.