Partitioned strong coupling algorithms for fluid-structure interaction

Computers and Structures

Volumn 81, Issue 8-11, 2003, Pages 805-812

  Matthies, Hermann G ^a   Steindorf, Jan ^a  

^a TECHNICAL UNIVERSITY OF BRAUNSCHWEIG   (Germany)

Author keywords

Block Newton methods; Fluid structure interaction; Partitioned methods; Strong coupling

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; ITERATIVE METHODS; NAVIER STOKES EQUATIONS; NEWTONIAN LIQUIDS; PROBLEM SOLVING;

BLOCK-NEWTON METHODS;

FLUID STRUCTURE INTERACTION;

EID: 0037401770     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(02)00409-1     Document Type: Article

References (40)

1. Morand H., Ohayon R. Fluid-structure interaction. 1995;John Wiley & Sons, Chichester.
2. Farhat C. Parallel and distributed solution of coupled nonlinear dynamic aeroelastic response. Papadrakakis M. Parallel solution methods in computational mechanics. 1997;John Wiley & Sons, Chichester.
3. Rifai S., Johan Z., Wang W.-P., Grisval J.-P., Hughes T.J.R., Ferencz M. Multiphysics simulation of flow induced vibrations and aeroelasticity on parallel computing platforms. Comput. Meth. Appl. Mech. Eng. 174:1999;393-417.
4. Pahlke K. Berechnung von Strömungsfeldern um Hubschrauberrotoren im Vorwärtsflug durch die Lösung der Euler-Gleichungen. PhD thesis 1998; Technische Universität Braunschweig.
5. Hierholz K-H. Ein numerisches Verfahren zur Simulation der Strömungs-Struktur-Interaktion am Hubschrauberrotor. PhD thesis 1999; Universität Stuttgart.
6. Mouro J., LeTallec P. Fluid structure interaction with large structural displacement. Comput. Meth. Appl. Mech. Eng. 190:2001;3039-3067.
7. Dubini G., Pietrabissi R., Montevecchi F.M. Fluid-structure interaction in bio-fluid mechanics. Med. Eng. Phys. 17(2):1995;609-617.
8. Blom F.J. A monolithical fluid-structure interaction algorithm applied to the piston problem. Comput. Meth. Appl. Mech. Eng. 167:1998;369-391.
9. Piperno S., Farhat C., Larrouturou B. Partitioned procedures for the transient solution of coupled aeroelastic problems. Comput. Meth. Appl. Mech. Eng. 124:1995;79-112.
10. Piperno S. Explicit/implicit fluid-structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations. Int. J. Numer. Meth. Fluids. 25:1997;1207-1226.
11. Bathe K.J., Zhang H., Wang M.H. Finite element analysis of incompressible and compressible fluid flows with free surfaces and structural interactions. Comput. Struct. 56:1995;193-213.
12. Bathe K.J. Finite element procedures. 1996;Prentice-Hall, Englewood Cliffs, NJ.
13. Bathe K.J. Fluid-structure interactions. Mech. Eng. 120:1998;66-68.
14. Bathe K.J., Zhang H., Ji S.H. Finite element analysis of fluid flows fully coupled with structural interactions. Comput. Struct. 72:1999;1-16.
15. Rugonyi S., Bathe K.J. On the analysis of fully-coupled fluid flows with structural interactions - a coupling and condensation procedure. Int. J. Comp. Civil Struct. Eng. 1:2000;29-41.
16. Zhang H., Bathe K.J. Direct and iterative computing of fluid flows fully coupled with structures. Bathe K.J. Computational fluid and solid mechanics. 2001;Elsevier, Amsterdam.
17. Rugonyi S., Bathe K.J. On finite element analysis of fluid flows fully coupled with structural interactions. Comput. Model. Simulat. Eng. 2:2001;195-212.
18. Bathe KJ, Hiller JF, Zhang H. On the finite element analysis of shells and their full interaction with Navier-Stokes fluid flow. In: Proceedings of the 6th International Conference on Computational Structures Technology, Prague, September 2002.
19. Mok D.P., Wall W.A. Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear flexible structures. Wall W.A., Bletzinger K.-U., Schweizerhof K. Trends in computational structural mechanics. 2001;CIMNE, Barcelona.
20. Steindorf J., Matthies H.G. Efficient partitioned methods for the computation of fluid-structure interaction on parallel computers. Topping B.H.V. Proceedings of the Third Euro-Conference on Parallel and Distributed Computing for Computational Mechanics. 1999;Civil-Comp Press, Edinburgh.
21. Codina R., Cervera M. Block-iterative algorithms for nonlinear coupled problems. Papadrakakis M., Bugeda G. Advanced computational methods in structural mechanics. 1996;CIMNE, Barcelona.
22. Park K.C., Felippa C.A. Partitioned analysis of coupled systems. Belytschko T., Hughes T.J.R. Computational methods in transient analysis. 1983;North-Holland, Amsterdam.
23. Arnold M., Günther M. Preconditioned dynamic iteration for coupled differential-algebraic systems. BIT Numer. Math. 41:2001;1-25.
24. Steindorf J. Partitionierte Verfahren für Probleme der Fluid-Struktur Wechselwirkung. PhD thesis 2002; Technische Universität Braunschweig.
25. Matthies H.G., Steindorf J. Efficient iteration schemes for non-linear fluid-structure interaction problems. Topping B.H.V. Computational mechanics: techniques and developments. 2000;Civil-Comp Press, Edinburgh.
26. Matthies H.G., Steindorf J. How to make weak couplings strong. Bathe K.J. Computational Fluid and Solid Mechanics. 2001;Elsevier, Amsterdam.
27. Matthies H.G., Steindorf J. Fully coupled fluid-structure interaction using weak coupling. Proc. Appl. Math. Mech. 1(1):2002;37-38.
28. Artlich S., Mackens W. Newton-coupling of fixed point iterations. Hackbusch W., Wittum G. Numerical treatment of coupled systems. 1995;Vieweg, Braunschweig.
29. Donea J. Arbitrary Lagrangian-Eulerian finite element methods. Belytschko T., Hughes T.J.R. Computational methods in transient analysis. 1983;North-Holland, Amsterdam.
30. Thomas P.D., Lombard C.K. Geometric conservation law and its application to flow computations on moving grids. AIAA J. 17(10):1979;1030-1037.
31. Grandmont C, Guimet V, Maday Y. 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: September 1997.
32. Batina J.T. Unsteady Euler airfoil solutions using unstructured dynamic meshes. AIAA J. 28(8):1990;1381-1388.
33. Farhat C., Lesoinne M. Two efficient staggered algorithms for the serial and parallel solution of three-dimensional transient aeroelastic problems. Comput. Meth. Appl. Mech. Eng. 182:2000;499-515.
34. LeTallec P, Mani S. Conservation laws for fluid-structure interactions. Technical Report CEREMADE 1999, Université de Paris Dauphine.
35. Arnold M. Constraint partitioning in dynamic iteration methods. Z Angew Math Mech. 81(S3):2001;S735-S738.
36. Mackens W., Menck J., Voss H. Numerical coupling of subsystems. Z. Angew. Math. Mech. 79(S3):1999;S871-S872.
37. Miekkala U., Nevanlinna O. An approximate Newton method for coupled nonlinear systems. SIAM J. Sci. Stat. Comput. 8:1987;459-482.
38. Mackens W, Menck J, Voss H. Numerical system synthesis: concepts for coupling subsystem solvers. Technical Report 1998, Technische Universität Hamburg-Harburg.
39. Chan T.F. An approximate Newton method for coupled nonlinear systems. SIAM J. Numer. Anal. 22(5):1985;904-913.
40. Wall WA, Ramm E. Fluid-structure interaction based upon a stabilized (ALE) finite element method. In: Proceedings of the 4th World Congress on Computational Mechanics - New Trends and Appications. Barcelona: CIMNE; 1998.