Finite Element Methods for Flow Problems with Moving Boundaries and Interfaces

Archives of Computational Methods in Engineering

Volumn 8, Issue 2, 2001, Pages 83-130

  Tezduyar, Tayfun E ^a  

^a RICE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035599464     PISSN: 11343060     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02897870     Document Type: Article

References (64)

1. T.E. Tezduyar (1999), "CFD methods for 3D computation of complex flow problems", Journal of Wind Engineering and Industrial Aerodynamics, 81, 97-116.
2. T.E. Tezduyar and Y. Osawa (1999), "Methods for parallel computation of complex flow problems", Parallel Computing, 25, 2039-2066.
3. T.E. Tezduyar (1991), "Stabilized finite element formulations for incompressible flow computations", Advances in Applied Mechanics, 28, 1-44.
4. T.E. Tezduyar, M. Behr and J. Liou (1992), "A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure: I. The concept and the preliminary tests", Computer Methods in Applied Mechanics and Engineering, 94, 339-351.
5. T.E. Tezduyar, M. Behr, S. Mittal and J. Liou (1992), "A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders", Computer Methods in Applied Mechanics and Engineering, 94, 353-371.
6. T.J.R. Hughes and G.M. Hulbert (1988), "Space-time finite element methods for elastodynamics: formulations and error estimates", Computer Methods in Applied Mechanics and Engineering, 66, 339-363.
7. T.J.R. Hughes and A.N. Brooks (1979), "A multi-dimensional upwind scheme with no crosswind diffusion", in T.J.R. Hughes (Ed.), Finite Element Methods for Convection Dominated Flows, AMD-Vol.34, 19-35, ASME, New York.
8. A.N. Brooks and T.J.R. Hughes (1982), "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, 199-259.
9. T.E. Tezduyar and T.J.R. Hughes (1983), "Finite element formulations for convection dominated flows with particular emphasis on the compressible Euler equations", in Proceedings of AIAA 21st Aerospace Sciences Meeting, AIAA Paper 83-0125, Reno, Nevada.
10. G.J. Le Beau and T.E. Tezduyar (1991), "Finite element computation of compressible flows with the SUPG formulation", in M.N. Dhaubhadel, M.S. Engelman, and J.N. Reddy, editors, Advances in Finite Element Analysis in Fluid Dynamics, FED-Vol.123, ASME, New York, 21-27.
11. G.J. Le Beau, S.E. Ray, S.K. Aliabadi and T.E. Tezduyar (1993), "SUPG finite element computation of compressible flows with the entropy and conservation variables formulations", Computer Methods in Applied Mechanics and Engineering, 104, 397-422.
12. T.E. Tezduyar, S. Mittal, S.E. Ray and R. Shih (1992), "Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements", Computer Methods in Applied Mechanics and Engineering, 95, 221-242.
13. T.J.R. Hughes, L.P. Franca and G.M. Hulbert (1989), "A new finite element formulation for computational fluid dynamics: VIII. the Galerkin/least-squares method for advective-diffusive equations", Computer Methods in Applied Mechanics and Engineering, 73, 173-189.
14. P. Hansbo and A. Szepessy (1990), "A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations", Computer Methods in Applied Mechanics and Engineering, 84, 175-192.
15. J. Donea (1984), "A Taylor-Galerkin method for convective transport problems", International Journal for Numerical Methods in Engineering, 20, 101-120.
16. C. Johnson, U. Navert and J. Pitkäranta (1984), "Finite element methods for linear hyperbolic problems", Computer Methods in Applied Mechanics and Engineering, 45, 285-312.
17. C. Johnson and J. Saranen (1986), "Streamline diffusion methods for the incompressible Euler and Navier-Stokes equations", Mathematics of Computation, 47, 1-18.
18. T.J.R. Hughes, L.P. Franca and M. Mallet (1987), "A new finite element formulation for computational fluid dynamics: VI. Convergence analysis of the generalized SUPG formulation for linear time-dependent multi-dimensional advective-diffusive systems", Computer Methods in Applied Mechanics and Engineering, 63, 97-112.
19. S. Aliabadi, S.E. Ray and T.E. Tezduyar (1993), "SUPG finite element computation of compressible flows with the entropy and conservation variables formulations", Computational Mechanics, 11, 300-312.
20. T.J.R. Hughes, L.P. Franca and M. Balestra (1986), "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, 85-99.
21. C. Farhat, M. Lesoinne and N. Maman (1995), "Mixed explicit/implicit time integration of coupled aeroelastic problems: Three-field formulation, geometric conservation and distributed solution", International Journal for Numerical Methods in Fluids, 21, 807-835.
22. M. Lesoinne and C. Farhat (1996), "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, 134, 71-90.
23. R. Lohner, C. Yang and J.D. Baum (1996), "Rigid and flexible store separation simulations using dynamic adaptive unstructured grid technologies", in Proceedings of the First AFOSR Conference on Dynamic Motion CFD, New Brunswick, New Jersey.
24. K. Stein, R. Benney, V. Kalro, T. Tezduyar and J. Leonard and M. Accorsi (1998), "Parachute fluid-structure interactions: 3-D computation", in Proceedings of the 4th Japan-US Symposium on Finite Element Methods in Computational Fluid Dynamics, Tokyo, Japan.
25. J. Garcia, E. Onate, H. Sierra and S. Idelsohn (1998), "A stabilized numerical method for analysis of ship hydrodynamics", in Proceedings of ECCOMAS 1998. J. Wiley.
26. E. Onate, S. Idelsohn, C. Sacco and J. Garcia (1998), "Stabilization of the numerical solution for the free surface wave equation in fluid dynamics", in Proceedings of ECCOMAS 1998. J. Wiley.
27. E. Onate and J. Garcia (1999), "A methodology for analysis of fluid-structure interaction accounting for free surface waves", in Proceedings of European Conference on Computational Mechanics, Munich, Germany.
28. M. Cruchaga and E. Onate (1999), "A generalized streamline finite element approach for the analysis of incompressible flow problems including moving surfaces", Computer Methods in Applied Mechanics and Engineering, 173, 241-255.
29. S. Aliabadi and T.E. Tezduyar (1993), "Space-time finite element computation of compressible flows involving moving boundaries and interfaces", Computer Methods in Applied Mechanics and Engineering, 107, 209-224.
30. M. Behr and T.E. Tezduyar (1994), "Finite element solution strategies for large-scale flow simulations", Computer Methods in Applied Mechanics and Engineering, 112, 3-24.
31. A.A. Johnson and T.E. Tezduyar (1997), "Parallel computation of incompressible flows with complex geometries", International Journal for Numerical Methods in Fluids, 24, 1321-1340.
32. A.A. Johnson and T.E. Tezduyar (1996), "Simulation of multiple spheres falling in a liquid-filled tube", Computer Methods in Applied Mechanics and Engineering, 134, 351-373.
33. T.E. Tezduyar, S. Aliabadi, M. Behr, A. Johnson, V. Kalro and M. Litke (1996), "Flow simulation and high performance computing", Computational Mechanics, 18, 397-412.
34. A.A. Johnson and T.E. Tezduyar (2001), "Methods for 3D computation of fluid-object interactions in spatially-periodic flows", Computer Methods in Applied Mechanics and Engineering, 190, 3201-3221.
35. S. Mittal and T.E. Tezduyar (1994), "Massively parallel finite element computation of incompressible flows involving fluid-body interactions", Computer Methods in Applied Mechanics and Engineering, 112, 253-282.
36. T. Tezduyar, S. Aliabadi, M. Behr, A. Johnson and S. Mittal (1993), "Parallel finite-element computation of 3D flows", IEEE Computer, 26, 27-36.
37. T.E. Tezduyar, M. Behr, S. Mittal and A.A. Johnson (1992), "Computation of unsteady incompressible flows with the finite element methods - space-time formulations, iterative strategies and massively parallel implementations", in P. Smolinski, W.K. Liu, G. Hulbert, and K. Tamma, editors, New Methods in Transient Analysis, AMD-Vol.143, ASME, New York, 7-24.
38. D.R. Lynch (1982), "Wakes in liquid-liquid systems", Journal of Computational Physics, 47, 387-411.
39. J.T. Batina (1989), "Unsteady Euler airfoil solutions using unstructured dynamics meshes", in Proceedings of AIAA 27th Aerospace Sciences Meeting, AIAA Paper 89-0115, Reno, Nevada.
40. J.A. Benek, P.G. Buning and J.L. Steger (1985), "A 3-D Chimera grid embedding technique", Paper 85-1523, AIAA.
41. M. Behr and T.E. Tezduyar (1999), "Shear-Slip Mesh Update Method", Computer Methods in Applied Mechanics and Engineering, 174, 261-274.
42. M. Behr and T.E. Tezduyar (2001), "Shear-slip mesh update in 3D computation of complex flow problems with rotating mechanical components", Computer Methods in Applied Mechanics and Engineering, 190, 3189-3200.
43. T.E. Tezduyar, S. Aliabadi and M. Behr (1998), "Enhanced-Discretization Interface-Capturing Technique (EDICT) for computation of unsteady flows with interfaces", Computer Methods in Applied Mechanics and Engineering, 155, 235-248.
44. T.E. Tezduyar, S. Aliabadi and M. Behr (1997), "Enhanced-Discretization Interface-Capturing Technique", in Y. Matsumoto and A. Prosperetti, editors, Proceedings of the ISAC '97 High Performance Computing on Multiphase Flows, 1-6, Japan Society of Mechanical Engineers.
45. C. W. Hirt and B. D. Nichols (1981), "Volume of fluid (VOF) method for the dynamics of free boundaries", Journal of Computational Physics, 39, 201-225.
46. D. L. Youngs (1984), "Time-dependent multimaterial flow with large fluid distortion", in K. W. Morton and M. J. Baines, editors, Numerical Methods in Fluid Dynamics, Notes on Numerical Fluid Mechanics, 273-285, Academic Press, New York.
47. C.M. Lemos (1996), "Higher-order schemes for free-surface flows with arbitrary configurations", International Journal for Numerical Methods in Fluids, 23, 545-566.
48. T.E. Tezduyar and Y. Osawa (2000), "Finite element stabilization parameters computed from element matrices and vectors", Computer Methods in Applied Mechanics and Engineering, 190, 411-430.
49. S. Aliabadi and T. Tezduyar (2000), "Stabilized-Finite-Element/Interface-Capturing Technique for parallel computation of unsteady flows with interfaces", Computer Methods in Applied Mechanics and Engineering, 190, 243-261.
50. S. Mittal, S. Aliabadi and T.E. Tezduyar (1999), "Parallel computation of unsteady compressible flows with the EDICT", Computational Mechanics, 23, 151-157.
51. T.E. Tezduyar, Y. Osawa, K. Stein, R. Benney, V. Kumar and J. McCune (2000), "Numerical methods for computer assisted analysis of parachute mechanics", to appear in Proceedings of 8th Conference on Numerical Methods in Continuum Mechanics, Liptovsky Jan, Slovakia, CD-ROM.
52. T.E. Tezduyar, Y. Osawa, K. Stein, R. Benney, V. Kumar and J. McCune (2001), "Computational methods for parachute aerodynamics", Proceedings of Computational Fluid Dynamics for the 21st Century, Kyoto, Japan.
53. R.G. Dean and R.A. Dalrymple (1984), Water Wave Mechanics for Engineers and Scientists. Prentice-Hall.
54. Y. Saad and M. Schultz (1986), "GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems", SIAM Journal of Scientific and Statistical Computing, 7, 856-869.
55. T.E. Tezduyar, S. Aliabadi, M. Behr, A. Johnson, V. Kalro and M. Litke (1996), "High performance computing techniques for flow simulations", in M. Papadrakakis, editor, Solving Large-Scale Problems in Mechanics: Parallel Solution Methods in Computational Mechanics, 363-398, John Wiley & Sons.
56. V. Kalro and T. Tezduyar (1998), "Parallel iterative computational methods for 3D finite element flow simulations", Computer Assisted Mechanics and Engineering Sciences, 5, 173-183.
57. Z. Johan, T.J.R. Hughes and F. Shakib (1991), "A globally convergent matrix-free algorithm for implicit time-marching schemes arising in finite element analysis in fluids", Computer Methods in Applied Mechanics and Engineering, 87, 281-304.
58. Z. Johan, K.K. Mathur, S.L. Johnsson and T.J.R. Hughes (1995), "A case study in parallel computation: Viscous flow around an Onera M6 wing", International Journal for Numerical Methods in Fluids, 21, 877-884.
59. T.E. Tezduyar, M. Behr, S.K. Aliabadi, S. Mittal and S.E. Ray (1992), "A new mixed preconditioning method for finite element computations", Computer Methods in Applied Mechanics and Engineering, 99, 27-42.
60. J. Smagorinsky (1963), "General circulation experiments with the primitive equations", Monthly Weather Review, 91, 99-165.
61. C. Kato and M. Ikegawa (1991), "Large eddy simulation of unsteady turbulent wake of a circular cylinder using the finite element method", in I. Celik, T. Kobayashi, K.N. Ghia, and J. Kurokawa, editors, Advances in Numerical Simulation of Turbulent Flows, FED-Vol.117, ASME, New York, 49-56.
62. A.A. Johnson and T.E. Tezduyar (1999), "Advanced mesh generation and update methods for 3D flow simulations", Computational Mechanics, 23, 130-143.
63. I. Güler, M. Behr and T.E. Tezduyar (1999), "Parallel finite element computation of free-surface flows", Computational Mechanics, 23, 117-123.
64. T.E. Tezduyar and S. Aliabadi (1998), "EDICT for computation of unsteady flows with interfaces", in Modeling and Simulation Based Engineering (eds. S. Atluri and P. O'Donoghue), Proceedings of International Conference on Computational Engineering Science, Atlanta, Georgia.