Fluid-structure interaction problems with strong added-mass effect

International Journal for Numerical Methods in Engineering

Volumn 80, Issue 10, 2009, Pages 1261-1294

  Idelsohn, S R ^a   Del Pin, F ^b   Rossi, R ^a   Onate E ^a  

^a INTERNATIONAL CENTER FOR NUMERICAL METHODS IN ENGINEERING CIMNE   (Spain)

^b LIVERMORE SOFTWARE TECHNOLOGY CORPORATION   (United States)

Author keywords

Added mass effect; Fluid structure interactions; FSI; Pressure segregation

Indexed keywords

ADDED-MASS EFFECT; BIOMECHANICAL APPLICATION; FLUID-STRUCTURE INTERACTION PROBLEM; FLUID-STRUCTURES; FSI; INCOMPRESSIBLE FLUID FLOW; MASS EFFECTS; PROJECTION METHOD; PROJECTION TECHNIQUES; STATIC CONDENSATION;

BIOMECHANICS; FLOW OF FLUIDS; FLUID DYNAMICS; FLUIDS; PRESSURE EFFECTS; SEGREGATION (METALLOGRAPHY);

FLUID STRUCTURE INTERACTION;

EID: 70449112838     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2659     Document Type: Article

References (27)

1. Felippa CA, Park KC. Staggered transient analysis procedures for coupled-field mechanical systems: formulation. Computer Methods in Applied Mechanics and Engineering 1980; 24:61-111.
2. Farhat C, Lesoinne M, Le Tallec P. Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: momentum and energy conservation, optimal discretization and application to aeroelasticity. Computer Methods in Applied Mechanics and Engineering 1998; 157:95-114.
3. Piperno S, Farhat C. Partitioned procedures for the transient solution of coupled aeroelastic problems-part II. Computer Methods in Applied Mechanics and Engineering 2001; 190:3147-3170.
4. Neumann M, Tiyyagura SR, Wall WA, Ramm E. Robustness and efficiency aspects for computational fluid structure interaction. Computational Science and High Performance Computing II, vol. 91. Springer: Berlin, Heidelberg, 2006. ISSN: 1612-2909.
5. Lohner R, Yang C, Cebral J, Baum JD, Luo H, Pelessone D, Charman C. Fluid-structure interaction using a loose coupling algorithm and adaptive unstructured grids. AIAA-95-2259, 1995.
6. Rugonyi S, Bathe KJ. On the analysis of fully-coupled fluid flows with structural interactions-a coupling and condensation procedure. International Journal for Computational Civil and Structural Engineering 2000; 1:29-41.
7. Rugonyi S, Bathe KJ. On finite element analysis of fluid flows fully coupled with structural interactions. Computer Modeling and Simulation in Engineering 2001; 2:195-212.
8. Souli M, Ouahsine A, Lewin L. Arbitrary Lagrangian-Eulerian formulation for fluid-structure interaction problems. Computer Methods in Applied Mechanics and Engineering 2000; 190:659-675.
9. Le Tallec P, Mouro J. Fluid structure interaction with large structural displacements. Computer Methods in Applied Mechanics and Engineering 2001; 190:3039-3067.
10. Felippa CA, Park KC, Farhat C. Partitioned analysis of coupled mechanical systems. Computer Methods in Applied Mechanics and Engineering 2001; 190:3247-3270.
11. Walhorn E, Kolke A, Hubner B, Dinkler D. Fluid-structure coupling within a monolithic model involving free surface flows. Computers and Structures 2005; 83:2100-2111.
12. Dettmer W, Peric D. A computational framework for fluid-structure interaction: finite element formulation and applications. Computer Methods in Applied Mechanics and Engineering 2006; 195:5754-5779.
13. 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(42-44):4506-4527.
14. 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.
15. Fernandez MA, Gerbeau JF, Grandmont C. A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid. International Journal for Numerical Methods in Engineering 2007; 69:794-821.
16. Forster 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.
17. Badia S, Nobile F, Vergara C. Fluid-structure partitioned procedures based on robin transmission conditions. Journal of Computational Physics 2008; 227:7027-7051.
18. Chorin AJ. Numerical solution of the Navier-Stokes equations. Mathematics of Computation 1968; 22:745-762.
19. Temam R. Sur l'approximation de la solution des equations de Navier-Stokes par la methode des pas fractionaires (I). Archive for Rational Mechanics and Analysis 1969; 32:135-153.
20. Codina R. Pressure stability in fractional step finite element methods for incompressible flows. Journal of Computational Physics 2001; 170:112-140.
21. Oñate E, García J, Idelsohn SR, Del Pin F. FIC formulations for finite element analysis of incompressible flows Eulerian, ALE and Lagrangian approaches. Computer Methods in Applied Mechanics and Engineering 2006; 195:3001-3037.
22. Oñate E. Possibilities of finite calculus in computational mechanics. International Journal for Numerical Methods in Engineering 2004; 60(1):255-281.
23. Tezduyar TE, Mittal S, Ray SE, Shih R. Incompressible flow computations with stabilized bilinear and linear equal order interpolation velocity-pressure elements. Computer Methods in Applied Mechanics and Engineering 1992; 95:221-242.
24. Turek S. Efficient Solvers for Incompressible Flow Problems: An Algorithmic Approach in View of Computational Aspects. Lecture Notes in Computational Science and Engineering. Springer: Berlin, 1998.
25. Gerbeau JF, Vidrascu MA. A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. Mathematical Model and Numerical Analysis 2003; 37(4):631-648.
26. Del Pin F, Idelsohn SR, Oñate E, Aubry R. The ALE/Lagrangian particle finite element method: a new approach to computation of free-surface flows and fluid-object interactions. Computers and Fluids 2007; 36(1):27-38.
27. Idelsohn SR, Oñate E, Del Pin F, Calvo N. Fluid-structure interaction using the particle finite element method. Computer Methods in Applied Mechanics and Engineering 2006; 195:2100-2123.