Strong Coupling Methods

Lecture Notes in Applied and Computational Mechanics

Volumn 12, Issue , 2003, Pages 13-36

  Matthies, Hermann G ^a   Steindorf, Jan ^a  

^a TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL PROCEDURES; COUPLED PROBLEMS; FLUID-STRUCTURE COUPLING; IMPLICIT FORMULATION; STRONG COUPLING; STRONG COUPLING METHOD; SUB-PROBLEMS; WEAK COUPLINGS;

COMPUTATIONAL MECHANICS;

NEWTON-RAPHSON METHOD;

EID: 30344474676     PISSN: 16137736     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-36527-3_2     Document Type: Article

References (61)

1. Morand H., Ohayon R. (1995) Fluid-Structure Interaction. John Wiley & Sons, Chichester
2. Belytschko T., Mullen R. (1981) Two-dimensional fluid-structure impact computations with regularization. Compo Meth. Appl. Mech. Eng. 27, 139-154
3. Kennedy J. M., Belytschko T. (1982) A survey of computational methods for fluid-structure analysis of reactor safety. Nuclear Engineering and Design 69, 379-398
4. Donea J., Giuliani S., Halleux J. P., (1982) An arbitrary Lagrangian-Eulerian finite element method for transient fluid-structure interaction. Compo Meth. Appl. Mech. Eng. 33, 689-723
5. Bathe K-J., Zhang H., Wang M. H. (1995) Finite element analysis of incompressible and compressible fluid flows with free surfaces and structural interactions. Computers & Structures 56, 193-213
6. Piperno S., Farhat C., Larrouturou B. (1995) Partitioned procedures for the transient solution of coupled aeroelastic problems. Compo Meth. Appl. Mech. Eng. 124, 79-112
7. Mouro, J., Le Tallec, P. (1998) Fluid Structure Interaction with Large Structural Displacements. Preprint submitted to Elsevier Science
8. Farhat C. (1997) Parallel and distributed solution of coupled nonlinear dynamic aeroelastic response. In: Papadrakakis M. (ed.) Parallel Solution Methods in Computational Mechanics. John Wiley & Sons, Chichester
9. Rifai S., Johan Z., Wang W.-P., Grisval J.-P., Hughes T. J. R., Ferencz M. (1999) Multiphysics simulation of flow induced vibrations and aeroelasticity on parallel computing platforms. Compo Meth. Appl. Mech. Eng. 174, 393-417
10. Bathe K-J., Zhang H., Ji S. H. (1999) Finite element analysis of fluid flows fully coupled with structural interactions. Computers & Structures 72, 1-16
11. Zienkiewicz O. C., Taylor R. L., (2001) The Finite Element Method. Vol. 1-3. Butterworth Heinemann, London
12. Argyris J., Doltsinis I. S., Pimenta P., Wiistenberg H. (1982) Thermomechanical response of solids at high strains-natural approach. Compo Meth. Appl. Mech. Eng. 32, 3-57
13. Zienkiewicz O. C., Paul D. K, Chan A. H. C. (1988) Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems. Int. J. Num. Meth. Eng. 26, 1039-1055
14. Park K C., Felippa C. A. (1983) Partitioned analysis of coupled systems. In: Belytschko T., Hughes T. J. R. (eds.) Computational Methods in Transient Analysis. North-Holland, Amsterdam
15. Park K C., FeJippa C. A. (1984) Recent developments in coupled field analysis methods. In: Lewis R. W., Bettes P., Hinton E. (eds.) Numerical Methods in Coupled Systems. John Wiley & Sons, Chichester
16. Zienkiewicz O. C. (1984) Coupled problems and their numerical solution. In: Lewis R. W., Bettes P., Hinton E. (eds.) Numerical Methods in Coupled Systems. John Wiley & Sons, Chichester
17. Zienkiewicz O. C., Chan A. H. C. (1989) Coupled problems and their numerical solution. In: Doltsinis I. S. (ed.) Advances in Computational Nonlinear Mechanics. Springer, Berlin
18. Blom F. J. (1998) A monolithical fluid-structure interaction algorithm applied to the piston problem. Compo Meth. Appl. Mech. Eng. 167,369-391
19. Rugonyi S., Bathe K-J. (2000) On the analysis of fully-coupled fluid flows with structural interactions-a coupling and condensation procedure. Int. J. of Compo Civil and Struct. Eng. 1, 29-41
20. Felippa C. A., Park K C. (1980) Staggered transient analysis procedures for coupled mechanical systems: formulation. Compo Meth. Appl. Mech. Eng. 24, 61-111
21. Park K. C. (1980) Partitioned transient analysis procedures for coupled-field problems: stability analysis. J. Appl. Mech. 47, 370-376
22. Piperno S. (1997) Explicit/implicit fluid-structure staggered procedures with a structural predictor and fluid subcyc1ing for 2D inviscid aero elastic simulations. Int. J. Num. Meth. Fluids 25, 1207-1226
23. Mok D. P., Wall W. A. (2001) Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear flexible structures. In: Wall W. A., Bletzinger K-U., Schweizerhof K (eds.) Trends in Computational Structural Mechanics. CIMNE, Barcelona
24. Steindorf J., Matthies H. G. (1999) Efficient partitioned methods for the computation of fluid-structure interaction on parallel computers. In: Topping B. H. V. (ed.) Proceedings of the Third Buro-Conference on Parallel and Distributed Computing for Computational Mechanics. Civil-Comp Press, Edinburgh
25. Steindorf J. (2002) Partitionierte Verfahren fur Probleme der Fluid-Struktur Wechselwirkung, PhD thesis; Technische Universitat Braunschweig.
26. Codina R., Cervera M. (1996) Block-iterative algorithms for nonlinear coupled problems. In: Papadrakakis M., Bugeda G. (eds.) Advanced Computational Methods in Structural mechanics. CIMNE, Barcelona
27. Arnold M., Gunther M. (2001) Preconditioned dynamic iteration for coupled differential-algebraic systems. BIT Numerical Mathematics 41, 1-25
28. Matthies H. G., Steindorf J. Efficient iteration schemes for non-linear fluidstructure interaction problems. In: Topping B. H. V. (ed.) Computational Mechanics: Techniques and Developments. Civil-Comp Press, Edinburgh
29. Matthies H. G., Steindorf J. (2001) How to make weak couplings strong. In: Bathe K-J. (ed.) Computational Fluid and Solid Mechanics. Elsevier, Amsterdam
30. Matthies H. G., Steindorf J. (2002) Fully coupled fluid-structure interaction using weak coupling. Proc. in Appl. Math. and Mech. 1(1), 37-38
31. Matthies H. G., Steindorf J. (2002) Partitioned Strong Coupling Algorithms for Fluid-Structure-Interaction. submitted to Computers & Structures
32. Artlich S., Mackens W. (1995) Newton-coupling of fixed point iterations. In: Hackbusch W., Wittum G. (eds.) Numerical Treatment of Coupled Systems. Vieweg, Braunschweig
33. Mackens W., Menck J., Voss H. (1998) Numerical system synthesis: Concepts for coupling subsystem solvers. Technical Report, Technische Universitat Hamburg-Harburg
34. Mackens W., Menck J., Voss H. (1999) Numerical coupling of subsystems. Zeitschr. für Angew. Math. und Mech. 79(S3), S871-S872
35. Arnold M. (2000) Constraint partitioning in dynamic iteration methods. submitted to Zeitschr. für Angew. Math. und Mech.
36. Smith B., Bjorstad P., Gropp W. (1996) Domain Decomposition. Cambridge University Press, Cambridge
37. Burrage K. (1995) Parallel and Sequential Methods for Ordinary Differential Equations. Clarendon Press, Oxford
38. Chan T. F. (1985) An approximate Newton method for coupled nonlinear systems. SIAM J. Numer. Anal. 22(5), 904-913
39. Miekkala U., Nevanlinna O. (1987) An approximate Newton method for coupled nonlinear systems. SIAM J. Sci. Stat. Comput. 8, 459-482
40. Farhat C., Lesoinne M. (2000) Two efficient staggered algorithms for the serial and parallel solution of three-dimensional transient aeroelastic problems. Compo Meth. Appl. Mech. Eng. 182, 499-515
41. Farhat C., Park K. C., Dubois-Pelerin Y. (1991) An uncoditionally stable staggered algorithm for transient finite element analysis of coupled thermoelastic problems. Compo Meth. Appl. Mech. Eng. 85, 349-365
42. Donea J. (1983) Arbitrary Lagrangian-Eulerian finite element methods. In: Belytschko T., Hughes T. J. R. (eds.) Computational Methods in Transient Analysis. North-Holland, Amsterdam
43. Wall W. A., Ramm E. (1998) Fluid-structure interaction based upon a stabilized (ALE) finite element method. In: Proceedings of the 4th World Congress on Computational Mechanics-New Trends and Applications. CIMNE, Barcelona
44. Bathe K.-J. (1996) Finite Element Procedures. Prentice-Hall, Englewood Cliffs, NJ
45. Ferziger J. H., Perie M. (1996) Computational Methods for Fluid Dynamics. Springer, Berlin
46. Thomas P. D., Lombard C. K. (1979) Geometric conservation law and its application to flow computations on moving grids. AIAA Journal 17(10), 1030-1037
47. Dubini G., Pietrabissi R., Montevecchi F. M. (1995) Fluid-structure interaction in bio-fluid mechanics. Med. Eng. Phys. 17(2), 609-617.
48. Grandmont C., Guimet V., Maday Y. (1997) Numerical analysis of some decoupling techniques for the approximation of the unsteady fluid-structure interaction. In: Proceedings of the Second European Conference on Numerical Mathematics. Heidelberg
49. Batina J. T. (1990) Unsteady Euler airfoil solutions using unstructured dynamic meshes. AIAA Journal 28(8), 1381-1388
50. Cebral J. R., Lohner R. (1997) Conservative load projection and tracking for fluid-structure problems. AIAA Journal 35(4), 687-692
51. Farhat C., Lesoinne M., Le Tallec P. (1998) 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. Compo Meth. Appl. Mech. Eng. 157, 95-114
52. Maman N., Farhat C. (1995) Matching fluid and structure meshes for aeroelastic computations: a parallel approach. Computers & Structures 54, 779-785
53. Wohlmuth B. (2001) Discretization Methods and Iterative Solvers Based on Domain Decomposition. Lect. Notes in Computational Science and Engrg., Springer, Berlin
54. Le Tallec P., Mani S. (1999) Conservation laws for fluid-structure interactions. Technical Report CEREMADE, Universite de Paris Dauphine
55. Belytschko T., Mullen R. (1978) Stability of explicit-implicit mesh partitions in time integration. Int. J. Num. Meth. Eng. 12, 1575-1586
56. Farhat C., Lesoinne M., Maman N. (1995) Mixed explicit/implicit time integration of coupled aeroelastic problems: three-field formulation, geometric conservation law and distributed solution. Int. J. Num. Meth. Fluids 21, 807-835
57. Farhat C., Lesoinne M., Stern P. (1997) High performance solution of threedimensional nonlinear elastic problems via parallel parttitoned algorithms: methodolgy and preliminary results. Adv. in Engrg. Software 28, 43-61
58. Taylor R. L. (1998) FEAP-A Finite Element Analysis Program, User Manual Version 6.3; Dept. of Civil and Environmental Engrg., University of California at Berkeley, CA
59. Turek S., Becker C. (1999) FEATFLOW User Manual Release 1.2; Institut fur Angewandte Mathematik, Universitat Heidelberg
60. Turek S., (1999) Efficient Solvers for Incompressible Flow Problems: An Algorithmic Approach in View of Computational Aspects. Lect. Notes in Computational Science and Engrg. Vol. 6. Springer, Berlin
61. Munch M. (1998) GRISSLi Kopplungsinterface, Handbuch fur die Anwendungsprogrammierung. IBM High Performance Support Center, Heidelberg; Institut fUr Algorithmen und Wissenschaftliches Rechnen der GMD, St. Augustin; Institut fUr Parallele und Verteilte Hochstleistungsrechner, Universitat Stuttgart