Modeling of fluid-structure interactions with the space-time techniques

Lecture Notes in Computational Science and Engineering

Volumn 53, Issue , 2006, Pages 50-81

  Tezduyar, Tayfun E ^a   Sathe, Sunil ^a   Stein, Keith ^b   Aureli, Luca ^a  

^a Rice University   (United States)

^b BETHEL UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLUID MECHANICS; ITERATIVE METHODS; MESH GENERATION;

DIRECT-COUPLING METHOD; FLUID-STRUCTURE INTERACTION PROBLEM; SIMULATION AND MODELING; SPACE TIME FINITE ELEMENT; SPACE-TIME FORMULATION; SPACE-TIME TECHNIQUES; STRUCTURAL MECHANICS; STRUCTURAL SURFACES;

FLUID STRUCTURE INTERACTION;

EID: 84880472838     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/3-540-34596-5_3     Document Type: Article

References (57)

1. T.J.R. Hughes, W.K. Liu, and T.K. Zimmermann, "Lagrangian-Eulerian finite element formulation for incompressible viscous flows", Computer Methods in Applied Mechanics and Engineering, 29 (1981) 329-349.
2. T.E. Tezduyar, "Stabilized finite element formulations for incompressible flow computations", Advances in Applied Mechanics, 28 (1992) 1-44.
3. T.E. Tezduyar, M. Behr, and J. Liou, "A new strategy for finite element computations involving moving boundaries and interfaces-the deformingspatial-domain/space-time procedure: I. The concept and the preliminary numerical tests", Computer Methods in Applied Mechanics and Engineering, 94 (1992) 339-351.
4. T.E. Tezduyar, M. Behr, S. Mittal, and J. Liou, "A new strategy for finite element computations involving moving boundaries and interfaces-the deforming-spatial-domain/space-time procedure: II. Computation of freesurface flows, two-liquid flows, and flows with drifting cylinders", Computer Methods in Applied Mechanics and Engineering, 94 (1992) 353-371.
5. T.J.R. Hughes and A.N. Brooks, "A multi-dimensional upwind scheme with no crosswind diffusion", in T.J.R. Hughes, editor, Finite Element Methods for Convection Dominated Flows, AMD-Vol.34, 19-35, ASME, New York, 1979.
6. A.N. Brooks and T.J.R. Hughes, "Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations", Computer Methods in Applied Mechanics and Engineering, 32 (1982) 199-259.
7. T.E. Tezduyar, S. Mittal, S.E. Ray, and R. Shih, "Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocitypressure elements", Computer Methods in Applied Mechanics and Engineering, 95 (1992) 221-242.
8. T.J.R. Hughes, L.P. Franca, and M. Balestra, "A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations", Computer Methods in Applied Mechanics and Engineering, 59 (1986) 85-99.
9. T.J.R. Hughes and G.M. Hulbert, "Space-time finite element methods for elastodynamics: formulations and error estimates", Computer Methods in Applied Mechanics and Engineering, 66 (1988) 339-363.
10. T.E. Tezduyar, S. Sathe, R. Keedy, and K. Stein, "Space-time techniques for finite element computation of flows with moving boundaries and interfaces", in S. Gallegos, I. Herrera, S. Botello, F. Zarate, and G. Ayala, editors, Proceedings of the III International Congress on Numerical Methods in Engineering and Applied Science, CD-ROM, 2004.
11. T.E. Tezduyar, S. Sathe, R. Keedy, and K. Stein, "Space-time finite element techniques for computation of fluid-structure interactions", Computer Methods in Applied Mechanics and Engineering, 195 (2006) 2002-2027.
12. T.E. Tezduyar, M. Behr, S. Mittal, and A.A. Johnson, "Computation of unsteady incompressible flows with the finite element methods-space-time formulations, iterative strategies and massively parallel implementations", in New Methods in Transient Analysis, PVP-Vol.246/AMD-Vol.143, ASME, New York, (1992) 7-24.
13. A.A. Johnson and T.E. Tezduyar, "Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces", Computer Methods in Applied Mechanics and Engineering, 119 (1994) 73-94.
14. T.E. Tezduyar, "Finite element methods for flow problems with moving boundaries and interfaces", Archives of Computational Methods in Engineering, 8 (2001) 83-130.
15. A. Masud and T.J.R. Hughes, "A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems", Computer Methods in Applied Mechanics and Engineering, 146 (1997) 91-126.
16. S. Mittal and T.E. Tezduyar, "A finite element study of incompressible flows past oscillating cylinders and aerofoils", International Journal for Numerical Methods in Fluids, 15 (1992) 1073-1118.
17. S. Mittal and T.E. Tezduyar, "Parallel finite element simulation of 3D incompressible flows-Fluid-structure interactions", International Journal for Numerical Methods in Fluids, 21 (1995) 933-953.
18. K.R. Stein, R.J. Benney, V. Kalro, A.A. Johnson, and T.E. Tezduyar, "Parallel computation of parachute fluid-structure interactions", in Proceedings of AIAA 14th Aerodynamic Decelerator Systems Technology Conference, AIAA Paper 97-1505, San Francisco, California, (1997).
19. K. Stein, R. Benney, T. Tezduyar, V. Kalro, J. Leonard, and M. Accorsi, "3-d computation of parachute fluid-structure interactions: Performance and control", in Proceedings of CEAS/AIAA 15th Aerodynamic Decelerator Systems Technology Conference, AIAA Paper 99-1714, Toulouse, France, (1999).
20. K. Stein, R. Benney, T. Tezduyar, V. Kalro, J. Potvin, and T. Bretl, "3-d computation of parachute fluid-structure interactions: Performance and control", in Proceedings of CEAS/AIAA 15th Aerodynamic Decelerator Systems Technology Conference, AIAA Paper 99-1725, Toulouse, France, (1999).
21. K. Stein, R. Benney, V. Kalro, T.E. Tezduyar, J. Leonard, and M. Accorsi, "Parachute fluid-structure interactions: 3-D Computation", Computer Methods in Applied Mechanics and Engineering, 190 (2000) 373-386.
22. V. Kalro and T.E. Tezduyar, "A parallel 3D computational method for fluid-structure interactions in parachute systems", Computer Methods in Applied Mechanics and Engineering, 190 (2000) 321-332.
23. K. Stein, R. Benney, T. Tezduyar, and J. Potvin, "Fluid-structure interactions of a cross parachute: Numerical simulation", Computer Methods in Applied Mechanics and Engineering, 191 (2001) 673-687.
24. T. Tezduyar and Y. Osawa, "Fluid-structure interactions of a parachute crossing the far wake of an aircraft", Computer Methods in Applied Mechanics and Engineering, 191 (2001) 717-726.
25. K.R. Stein, R.J. Benney, T.E. Tezduyar, J.W. Leonard, and M.L. Accorsi, "Fluid-structure interactions of a round parachute: Modeling and simulation techniques", Journal of Aircraft, 38 (2001) 800-808.
26. K. Stein, T. Tezduyar, and R. Benney, "Mesh moving techniques for fluid-structure interactions with large displacements", Journal of Applied Mechanics, 70 (2003) 58-63.
27. T. Tezduyar, "Finite element interface-tracking and interface-capturing techniques for flows with moving boundaries and interfaces", in Proceedings of the ASME Symposium on Fluid-Physics and Heat Transfer for Macro-and Micro-Scale Gas-Liquid and Phase-Change Flows (CD-ROM), ASME Paper IMECE2001/HTD-24206, ASME, New York, New York, (2001).
28. T.E. Tezduyar, "Stabilized finite element formulations and interface-tracking and interface-capturing techniques for incompressible flows", in M.M. Hafez, editor, Numerical Simulations of Incompressible Flows, World Scientific, New Jersey, (2003) 221-239.
29. K. Stein, T. Tezduyar, and R. Benney, "Computational methods for modeling parachute systems", Computing in Science and Engineering, 5 (2003) 39-46.
30. K. Stein, T.E. Tezduyar, and R. Benney, "Automatic mesh update with the solid-extension mesh moving technique", Computer Methods in Applied Mechanics and Engineering, 193 (2004) 2019-2032.
31. T.E. Tezduyar, S. Sathe, M. Senga, L. Aureli, K. Stein, and B. Griffin, "Finite element modeling of fluid-structure interactions with space-time and advanced mesh update techniques", in Proceedings of the 10th International Conference on Numerical Methods in Continuum Mechanics (CD-ROM), Zilina, Slovakia, (2005).
32. S. Sathe, Enhanced-Discretization and Solution Techniques in Flow Simulations and Parachute Fluid-Structure Interactions, Ph.D. thesis, Rice University, 2004.
33. T.E. Tezduyar, "Finite element methods for fluid dynamics with moving boundaries and interfaces", in E. Stein, R. De Borst, and T.J.R. Hughes, editors, Encyclopedia of Computational Mechanics, Volume 3: Fluids, Chapter 17, John Wiley & Sons, 2004.
34. R. Ohayon, "Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems", Computer Methods in Applied Mechanics and Engineering, 190 (2001) 3009-3019.
35. W. Wall, Fluid-Structure Interaction with Stabilized Finite Elements, Ph.D. thesis, University of Stuttgart, 1999.
36. A. Sameh and V. Sarin, "Hybrid parallel linear solvers", International Journal of Computational Fluid Dynamics, 12 (1999) 213-223.
37. A. Sameh and V. Sarin, "Parallel algorithms for indefinite linear systems", Parallel Computing, 28 (2002) 285-299.
38. M. Heil, "An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems", Computer Methods in Applied Mechanics and Engineering, 193 (2004) 1-23.
39. B. Hubner, E. Walhorn, and D. Dinkler, "A monolithic approach to fluid-structure interaction using space-time finite elements", Computer Methods in Applied Mechanics and Engineering, 193 (2004) 2087-2104.
40. W. Dettmer, Finite Element Modeling of Fluid Flow with Moving Free Surfaces and Interfaces Including Fluid-Solid Interaction, Ph.D. thesis, University of Wales Swansea, 2004.
41. W. Dettmer and D. Peric, "A computational framework for fluid-rigid body interaction: finite element formulation and applications", to appear in Computer Methods in Applied Mechanics and Engineering, 2005.
42. S. Sathe, R. Benney, R. Charles, E. Doucette, J. Miletti, M. Senga, K. Stein, and T.E. Tezduyar, "Fluid-structure interaction modeling of complex parachute designs with the space-time finite element techniques", Computers & Fluids, published online, December 2005.
43. A.E. Green and J.E. Adkins, Large Elastic Deformations. Oxford Clarendon Press, Amen House, London, U.K., 1960.
44. A.E. Green and W. Zerna, Theoretical Elasticity. Oxford Clarendon Press, Ely House, London, U.K., 1968.
45. M.L. Accorsi, J.W. Leonard, R. Benney, and K. Stein, "Structural modeling of parachute dynamics", AIAA Journal, 38 (2000) 139-146.
46. T.E. Tezduyar and Y. Osawa, "Finite element stabilization parameters computed from element matrices and vectors", Computer Methods in Applied Mechanics and Engineering, 190 (2000) 411-430.
47. T.E. Tezduyar, "Computation of moving boundaries and interfaces and stabilization parameters", International Journal for Numerical Methods in Fluids, 43 (2003) 555-575.
48. H.M. Hilber, T.J.R. Hughes, and R.L. Taylor, "Improved numerical dissipation for time integration algorithms in structural dynamics", Earthquake Engineering and Structural Dynamics, 5 (1977) 283-292.
49. D.R. Lynch, "Wakes in liquid-liquid systems", Journal of Computational Physics, 47 (1982) 387-411.
50. T. Tezduyar, S. Aliabadi, M. Behr, A. Johnson, and S. Mittal, "Parallel finiteelement computation of 3D flows", Computer, 26 (1993) 27-36.
51. K. Stein and T. Tezduyar, "Advanced mesh update techniques for problems involving large displacements", in Proceedings of the Fifth World Congress on Computational Mechanics, On-line publication: http://wccm.tuwien.ac.at/, Paper-ID: 81489, Vienna, Austria, (2002).
52. A.A. Johnson and T.E. Tezduyar, "Simulation of multiple spheres falling in a liquid-filled tube", Computer Methods in Applied Mechanics and Engineering, 134 (1996) 351-373.
53. T. Fujisawa, M. Inaba, and G. Yagawa, "Parallel computing of high-speed compressible flows using a node-based finite element method", International Journal for Numerical Methods in Fluids, 58 (2003) 481-511.
54. Y. Saad and M. Schultz, "GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems", SIAM Journal of Scientific and Statistical Computing, 7 (1986) 856-869.
55. T.E. Tezduyar, "Stabilized finite element methods for computation of flows with moving boundaries and interfaces", in Lecture Notes on Finite Element Simulation of Flow Problems (Basic-Advanced Course), Japan Society of Computational Engineering and Sciences, Tokyo, Japan, (2003).
56. T.E. Tezduyar, S. Sathe, and K. Stein, "Solution techniques for the fullydiscretized equations in computation of fluid-structure interactions with the space-time formulations", Computer Methods in Applied Mechanics and Engineering, published online, January 2006.
57. T. Hisada, H. Watanabe, and S. Sugiura. "Fluid-structure interaction analysis of human heart by ALE finite element method", 2003, presentation at the Seventh US National Congress on Computational Mechanics, Albuquerque, New Mexico.