Fluid-structure interaction using a partitioned semi-implicit predictor-corrector coupling scheme for the application of large-eddy simulation

Journal of Fluids and Structures

Volumn 29, Issue , 2012, Pages 107-130

  Breuer, M ^a   De Nayer, G ^a   Munsch M ^b   Gallinger, T ^c   Wuchner R ^c  

^a HELMUT SCHMIDT UNIVERSITY   (Germany)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^c TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

(Artificial) added mass effect; Fluid structure interaction; FSI benchmark; Large eddy simulation; Partitioned scheme; Semi implicit scheme

Indexed keywords

(ARTIFICIAL) ADDED-MASS EFFECT; COUPLING SCHEME; FLOW AROUND A CYLINDER; FLUID-STRUCTURE INTERACTION PROBLEM; FSI BENCHMARK; HIGH DENSITY; INSTANTANEOUS TURBULENT FLOW; PARTITIONED SCHEME; PREDICTOR CORRECTOR; PREDICTOR-CORRECTOR METHODS; SEMI-IMPLICIT; SEMI-IMPLICIT SCHEME; SHELLS AND MEMBRANES; STRONG COUPLING; TIME MARCHING; TIME-RESOLVED; TURBULENCE SIMULATION; TURBULENT FLUID FLOW;

FLEXIBLE STRUCTURES; FLUID STRUCTURE INTERACTION; LAMINAR FLOW; TURBULENT FLOW;

LARGE EDDY SIMULATION;

EID: 84857055333     PISSN: 08899746     EISSN: 10958622     Source Type: Journal    
DOI: 10.1016/j.jfluidstructs.2011.09.003     Document Type: Article

References (64)

1. Aitken, A.C., 1926. On Bernoulli's numerical solution of algebraic equations. In: Proceedings of the Royal Society of Edinburgh, vol. 46. pp. 289-305.
2. Belytschko T., Liu W.K., Moran B. Non-Linear Finite Elements For Continua and Structures 2000, John Wiley & Sons Ltd, New York, vol. 36.
3. Bischoff M., Wall W.A., Bletzinger K.-U., Ramm E. Models and finite elements for thin-walled structures. Encyclopedia of Computational Mechanics 2004, vol. 2:59-138. John Wiley & Sons Ltd, Chichester.
4. Bletzinger K.-U., Wüchner R., Kupzok A. Algorithmic treatment of shells and free form-membranes in FSI. Fluid-Structure Interaction, Lecture Notes in Computational Science and Engineering 2006, vol. 53:336-355. Springer, Heidelberg.
5. Breuer M. Large-eddy simulation of the sub-critical flow past a circular cylinder: numerical and modeling aspects. International Journal for Numerical Methods in Fluids 1998, 28(9):1281-1302.
6. Breuer M. A challenging test case for large-eddy simulation: high Reynolds number circular cylinder flow. International Journal of Heat and Fluid Flow 2000, 21(5):648-654.
7. Breuer M. Direkte Numerische Simulation und Large-Eddy Simulation turbulenter Strömungen auf Hochleistungsrechnern. Habilitationsschrift, Universität Erlangen-Nürnberg, Berichte aus der Strömungstechnik 2002, Shaker Verlag, Aachen.
8. Breuer M., Münsch M. Fluids-structure interaction using LES-A partitioned coupled predictor-corrector scheme. Proceedings in Applied Mathematics and Mechanics 2008, 8(1):10515-10516.
9. Breuer, M., Münsch, M., 2010. LES meets FSI-important numerical and modeling aspects. In: Vincenzo, A., Geurts, B.J., Fröhlich, J. (Eds.), ERCOFTAC Series, Direct and Large-Eddy Simulation VII, Seventh International ERCOFTAC Workshop on Direct and Large-Eddy Simulation: DLES-7, September 8-10, 2008, vol. 13. Springer Science+Business Media B.V., Trieste, Italy, pp. 245-251.
10. Fluid Structure Interaction II: Modelling, Simulation, Optimization. Lecture Notes in Computational Science and Engineering 2010, vol. 73. Springer, Heidelberg.
11. 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).
12. Chorin A.J. Numerical solution of the Navier-Stokes equations. Mathematics of Computations 1968, 22(104):745-762.
13. Chung J., Hulbert G.M. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-α method. Journal of Applied Mechanics 1993, 60:371-375.
14. Degroote J., Bruggeman P., Haelterman R., Vierendeels J. Stability of a coupling technique for partitioned solvers in FSI applications. Computers & Structures 2008, 86(23-24):2224-2234.
15. Demirdžić I., Perić M. Space conservation law in finite-volume calculations of fluid flow. International Journal for Numerical Methods in Fluids 1988, 8(9):1037-1050.
16. Demirdžić I., Perić M. Finite-volume method for prediction of fluid flow in arbitrarily shaped domains with moving boundaries. International Journal for Numerical Methods in Fluids 1990, 10(7):771-790.
17. Durst F., Schäfer M. A parallel block-structured multigrid method for the prediction of incompressible flows. International Journal for Numerical Methods in Fluids 1996, 22(6):549-565.
18. Durst F., Schäfer M., Wechsler K. Efficient simulation of incompressible viscous flows on parallel computers. Flow Simulation with High-Performance Computers II, Notes on Numerical Fluid Mechanics 1996, vol. 52(1):87-101. Vieweg.
19. Farhat C. CFD-based non-linear computational aeroelasticity. Encyclopedia of Computational Mechanics 2004, vol. 3:459-477. John Wiley & Sons Ltd, Chichester.
20. Farhat C., Geuzaine P., Grandmont C. The discrete geometric conservation law and the non-linear stability of ALE schemes for the solution of flow problems on moving grids. Journal of Computational Physics 2001, 174(2):669-694.
21. Farhat C., Lesoinne M., LeTallec 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.
22. Farhat C., van der Zee K.G., Geuzaine P. Provably second-order time-accurate loosely-coupled solution algorithms for transient non-linear computational aeroelasticity. Computer Methods in Applied Mechanics and Engineering 2006, 195(17-18):1973-2001.
23. Felippa C.A., Geers T.L. Partitioned analysis for coupled mechanical systems. Engineering Computations 1988, 5:123-133.
24. Felippa C.A., Park K.C. Staggered transient analysis procedures for coupled mechanical systems: formulation. Computer Methods in Applied Mechanics and Engineering 1980, 24(1):61-111.
25. Fernández M.A., Gerbeau J.F., 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.
26. Fischer M., Firl M., Masching H., Bletzinger K.-U. Optimization of non-linear structures based on object-oriented parallel programming. Seventh International Conference on Engineering Computational Technology, ECT2010 2010, 67. Civil-Comp Press, Stirlingshire, UK. B.H.V. Topping, J.M. Adam, F.J. Pallarés, R. Bru, M.L. Romero (Eds.).
27. Förster, C., 2007. Robust Methods for Fluid-Structure Interaction with Stabilised Finite Elements. Ph.D. Thesis. Institut für Baustatik und Baudynamik, Universität Stuttgart, Germany.
28. Förster C., Wall W.A., Ramm E. Artificial added mass instabilities in sequential staggered coupling of non-linear structures and incompressible viscous flows. Computer Methods in Applied Mechanics and Engineering 2007, 196(7):1278-1293.
29. Gallinger, T., 2010. Effiziente Algorithmen zur partitionierten Lösung stark gekoppelter Probleme der Fluid-Struktur-Wechselwirkung. Ph.D. Thesis. Lehrstuhl für Statik, Technische Universität München, Germany.
30. Gallinger T., Kupzok A., Israel U., Bletzinger K.-U., Wüchner R. A computational environment for membrane-wind interaction. International Workshop on Fluid-Structure Interaction: Theory, Numerics and Applications 2009, 283-294. Kassel University Press GmbH. S. Hartmann, A. Mesiter, M. Schäfer, S. Turek (Eds.).
31. Germano M., Piomelli U., Moin P., Cabot W.H. A dynamic subgrid-scale eddy viscosity model. Physics of Fluids A 1991, 3:1760-1765.
32. Glück M., Breuer M., Durst F., Halfmann A., Rank E. Computation of fluid-structure interaction on lightweight structures. Journal of Wind Engineering and Industrial Aerodynamics 2001, 89(14-15):1351-1368.
33. Glück M., Breuer M., Durst F., Halfmann A., Rank E. Computation of wind-induced vibrations of flexible shells and membranous structures. Journal of Fluids and Structures 2003, 17(5):739-765.
34. 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(1-2):1-23.
35. Hojjat M., Stavropoulou E., Gallinger T., Israel U., Wüchner R., Bletzinger K.-U. Fluid-structure interaction in the context of shape optimization and computational wind engineering. Fluid-Structure Interaction II - Modelling, Simulation, Optimization. Lecture Notes in Computational Science and Engineering 2010, vol. 73:351-381. Springer, Heidelberg.
36. Irons B.M., Tuck R.C. A version of the Aitken accelerator for computer iteration. International Journal for Numerical Methods in Engineering 1969, 1(3):275-277.
37. Kordulla W., Vinokur M. Efficient computation of volume in flow predictions. AIAA Journal 1983, 21(6):917-918.
38. Kupzok, A.M., 2009. Modeling the Interaction of Wind and Membrane Structures by Numerical Simulation. Ph.D. Thesis. Lehrstuhl für Statik, Technische Universität München, Germany.
39. Küttler, U., 2009. Effiziente Lösungsverfahren für Fluid-Struktur-Interaktions-Probleme. Ph.D. Thesis. Lehrstuhl für Numerische Mechanik, Technische Universität München, Germany.
40. Küttler U., Wall W.A. Fixed-point fluid-structure interaction solvers with dynamic relaxation. Computational Mechanics 2008, 43(1):61-72.
41. Küttler U., Wall W.A. Vector extrapolation for strong coupling fluid-structure interaction solvers. Journal of Applied Mechanics 2009, 76:021205.
42. Lesoinne M., Farhat C. Geometric conservation laws for flow problems with moving boundaries and deformable meshes, and their impact on aeroelastic computations. Computer Methods in Applied Mechanics and Engineering 1996, 134(1-2):71-90.
43. Lilly D.K. A proposed modification of the Germano subgrid-scale closure method. Physics of Fluids A 1992, 4:633-635.
44. 2 methods. Communications in Applied Numerical Methods 1986, 2(4):385-392.
45. Mok, D.P., 2001. Partitionierte Lösungsansätze in der Strukturdynamik und der Fluid-Struktur-Interaktion. Ph.D. Thesis. Institut für Baustatik, Universität Stuttgart, Germany.
46. Münsch M., Breuer M. Numerical simulation of fluid-structure interaction using eddy-resolving schemes. Fluid-Structure Interaction II-Modelling, Simulation, Optimization. Lecture Notes in Computational Science and Engineering 2010, vol. 73:221-253. Springer, Heidelberg.
47. Park K.C. Partitioned transient analysis procedures for coupled field problems: stability analysis. Journal of Applied Mechanics 1980, 47:370-376.
48. Park K.C., Felippa C.A. Partitioned analysis of coupled systems. Computational Methods for Transient Analysis 1983, 157-219.
49. Park K.C., Felippa C.A., DeRuntz J.A. Stabilization of staggered solution procedures for fluid-structure interaction analysis. Computational Methods for Fluid-Structure Interaction Problems 1977, 26:95-124.
50. Patankar S.V., Spalding D.B. A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. International Journal of Heat and Mass Transfer 1972, 15(10):1787-1806.
51. Piperno S., Farhat C., Larrouturou B. Partitioned procedures for the transient solution of coupled aeroelastic problems. Part I: model problem theory, and two-dimensional application. Computer Methods in Applied Mechanics and Engineering 1995, 124:79-112.
52. Rhie C.M., Chow W.L. Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA Journal 1983, 21(11):1525-1532.
53. Smagorinsky J. General circulation experiments with the primitive equations I: the basic experiment. Monthly Weather Review 1963, 91(3):99-165.
54. Spekreijse S.P. Elliptic grid generation based on Laplace equations and algebraic transformations. Journal of Computational Physics 1995, 118(1):38-61.
55. Stone H.L. Iterative solution of implicit approximations of multidimensional partial differential equations. SIAM Journal on Numerical Analysis 1968, 5(3):530-558.
56. Temam R. Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (i). Archive for Rational Mechanics and Analysis 1969, 32(2):135-153.
57. Temam R. Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (ii). Archive for Rational Mechanics and Analysis 1969, 33(5):377-385.
58. Thompson J.F., Warsi Z.U.A., Wayne Mastin C.W. Numerical Grid Generation: Foundations and Applications 1985, vol. 45. North-Holland.
59. Turek S., Hron J. Proposal for numerical benchmarking of fluid-structure interaction between an elastic object and laminar incompressible flow. Fluid-Structure Interaction. Lecture Notes in Computational Science and Engineering 2006, vol. 53:371-385. Springer, Heidelberg.
60. Turek S., Hron J., Razzaq M., Wobker H., Schäfer M. Numerical benchmarking of fluid-structure interaction: a comparison of different discretization and solution approaches. Fluid-Structure Interaction II-Modelling, Simulation, Optimization. Lecture Notes in Computational Science and Engineering 2010, vol. 73:413-424. Springer, Heidelberg.
61. Turek S., Schäfer M. Benchmark computations of laminar flow around a cylinder. Flow Simulation with High-Performance Computers II. Notes on Numerical Fluids Mechanics 1996, vol. 52:547-566. Vieweg, Braunschweig.
62. Vierendeels J., Degroote J., Annerel S., Haelterman R. Stability issues in partitioned FSI calculations. Fluid-Structure Interaction II-Modelling, Simulation, Optimization. Lecture Notes in Computational Science and Engineering 2010, vol. 73:83-102. Springer, Heidelberg.
63. Wüchner, R., 2006. Mechanik und Numerik der Formfindung und Fluid-Struktur-Interaktion von Membrantragwerken. Ph.D. Thesis. Lehrstuhl für Statik, Technische Universität München, Germany.
64. Wüchner R., Kupzok A., Bletzinger K.-U. A framework for stabilized partitioned analysis of thin membrane-wind interaction. International Journal for Numerical Methods in Fluids 2007, 54(6-8):945-963.