Fluid–structure interaction modeling of ringsail parachutes with disreefing and modified geometric porosity
详细信息 查看全文
- 作者：Kenji Takizawa (1)
Matthew Fritze (2)
Darren Montes (2)
Timothy Spielman (2)
Tayfun E. Tezduyar (2) - 关键词：Fluid–structure interaction ; Parachutes ; Space–time techniques ; Ringsail parachutes ; Parachute clusters ; Contact ; Parachute disreefing
- 刊名：Computational Mechanics
- 出版年：2012
- 出版时间：December 2012
- 年：2012
- 卷：50
- 期：6
- 页码：835-854
- 全文大小：14351KB
- 参考文献：1. Hughes TJR, Liu WK, Zimmermann TK (1981) Lagrangian–Eulerian finite element formulation for incompressible viscous flows. Comput Methods Appl Mech Eng 29: 329-49 CrossRef
2. Tezduyar T, Aliabadi S, Behr M, Johnson A, Mittal S (1993) Parallel finite-element computation of 3D flows. Computer 26: 27-6. doi:10.1109/2.237441 CrossRef
3. Behr M, Johnson A, Kennedy J, Mittal S, Tezduyar T (1993) Computation of incompressible flows with implicit finite element implementations on the connection machine. Comput Methods Appl Mech Eng 108: 99-18. doi:10.1016/0045-7825(93)90155-Q CrossRef
4. Tezduyar TE, Aliabadi SK, Behr M, Mittal S (1994) Massively parallel finite element simulation of compressible and incompressible flows. Comput Methods Appl Mech Eng 119: 157-77. doi:10.1016/0045-7825(94)00082-4 CrossRef
5. Mittal S, Tezduyar TE (1994) Massively parallel finite element computation of incompressible flows involving fluid–body interactions. Comput Methods Appl Mech Eng 112: 253-82. doi:10.1016/0045-7825(94)90029-9 CrossRef
6. Mittal S, Tezduyar TE (1995) Parallel finite element simulation of 3D incompressible flows—fluid–structure interactions. Int J Numer Methods Fluids 21: 933-53. doi:10.1002/fld.1650211011 CrossRef
7. Aliabadi SK, Tezduyar TE (1995) Parallel fluid dynamics computations in aerospace applications. Int J Numer Methods Fluids 21: 783-05. doi:10.1002/fld.1650211003 CrossRef
8. Tezduyar T, Aliabadi S, Behr M, Johnson A, Kalro V, Litke M (1996) Flow simulation and high performance computing. Comput Mech 18: 397-12. doi:10.1007/BF00350249 CrossRef
9. Johnson AA, Tezduyar TE (1997) Parallel computation of incompressible flows with complex geometries. Int J Numer Methods Fluids 24: 1321-340. doi:10.1002/(SICI)1097-0363(199706)24:12<1321::AID-FLD562>3.3.CO;2-C CrossRef
10. Johnson AA, Tezduyar TE (1999) Advanced mesh generation and update methods for 3D flow simulations. Comput Mech 23: 130-43. doi:10.1007/s004660050393 CrossRef
11. Behr M, Tezduyar T (1999) The shear-slip mesh update method. Comput Methods Appl Mech Eng 174: 261-74. doi:10.1016/S0045-7825(98)00299-0 CrossRef
12. Kalro V, Tezduyar TE (2000) A parallel 3D computational method for fluid–structure interactions in parachute systems. Comput Methods Appl Mech Eng 190: 321-32. doi:10.1016/S0045-7825(00)00204-8 CrossRef
13. Stein K, Benney R, Kalro V, Tezduyar TE, Leonard J, Accorsi M (2000) Parachute fluid–structure interactions: 3-D computation. Comput Methods Appl Mech Eng 190: 373-86. doi:10.1016/S0045-7825(00)00208-5 CrossRef
14. Tezduyar TE (2001) Finite element methods for flow problems with moving boundaries and interfaces. Arch Comput Methods Eng 8: 83-30. doi:10.1007/BF02897870 CrossRef
15. Tezduyar T, Osawa Y (2001) Fluid–structure interactions of a parachute crossing the far wake of an aircraft. Comput Methods Appl Mech Eng 191: 717-26. doi:10.1016/S0045-7825(01)00311-5 CrossRef
16. Stein K, Benney R, Tezduyar T, Potvin J (2001) Fluid–structure interactions of a cross parachute: numerical simulation. Comput Methods Appl Mech Eng 191: 673-87. doi:10.1016/S0045-7825(01)00312-7 CrossRef
17. Ohayon R (2001) Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems. Comput Methods Appl Mech Eng 190: 3009-019 CrossRef
18. Behr M, Tezduyar T (2001) Shear-slip mesh update in 3D computation of complex flow problems with rotating mechanical components. Comput Methods Appl Mech Eng 190: 3189-200. doi:10.1016/S0045-7825(00)00388-1 CrossRef
19. Stein K, Tezduyar T, Benney R (2003) Mesh moving techniques for fluid–structure interactions with large displacements. J Appl Mech 70: 58-3. doi:10.1115/1.1530635 CrossRef
20. Stein K, Tezduyar TE, Benney R (2004) Automatic mesh update with the solid-extension mesh moving technique. Comput Methods Appl Mech Eng 193: 2019-032. doi:10.1016/j.cma.2003.12.046 CrossRef
21. Brummelen EH, Borst R (2005) On the nonnormality of subiteration for a fluid–structure interaction problem. SIAM J Sci Comput 27: 599-21 CrossRef
22. Tezduyar TE, Sathe S, Keedy R, Stein K (2006) Space–time finite element techniques for computation of fluid–structure interactions. Comput Methods Appl Mech Eng 195: 2002-027. doi:10.1016/j.cma.2004.09.014 CrossRef
23. Tezduyar TE, Sathe S, Stein K (2006) Solution techniques for the fully-discretized equations in computation of fluid–structure interactions with the space–time formulations. Comput Methods Appl Mech Eng 195: 5743-753. doi:10.1016/j.cma.2005.08.023 CrossRef
24. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2006) Computer modeling of cardiovascular fluid–structure interactions with the deforming-spatial-domain/stabilized space–time formulation. Comput Methods Appl Mech Eng 195: 1885-895. doi:10.1016/j.cma.2005.05.050 CrossRef
25. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2006) Fluid–structure interaction modeling of aneurysmal conditions with high and normal blood pressures. Comput Mech 38: 482-90. doi:10.1007/s00466-006-0065-6 CrossRef
26. Bazilevs Y, Calo VM, Zhang Y, Hughes TJR (2006) Isogeometric fluid–structure interaction analysis with applications to arterial blood flow. Comput Mech 38: 310-22 CrossRef
27. Tezduyar TE (2007) Finite elements in fluids: stabilized formulations and moving boundaries and interfaces. Comput Fluids 36: 191-06. doi:10.1016/j.compfluid.2005.02.011 CrossRef
28. Brenk M, Bungartz H-J, Mehl M, Neckel T (2006) Fluid–structure interaction on Cartesian grids: flow simulation and coupling environment- In: Bungartz H-J, Schafer M (eds) Fluid–structure interaction, Lecture notes in computational science and engineering, vol 53. Springer, Heidelberg, pp 233-69
29. Lohner R, Cebral JR, Yang C, Baum JD, Mestreau EL, Soto O (2006) Extending the range of applicability of the loose coupling approach for FSI simulations. In: Bungartz H-J, Schafer M (eds) Fluid–structure interaction, Lecture notes in computational science and engineering, vol 53. Springer, Heidelberg, pp 82-00
30. Bletzinger K-U, Wuchner R, Kupzok A (2006) Algorithmic treatment of shells and free form-membranes in FSI. In: Bungartz H-J, Schafer M (eds) Fluid–Structure interaction, Lecture notes in computational science and engineering, vol 53. Springer, Berlin, pp 336-55
31. Tezduyar TE, Sathe S, Cragin T, Nanna B, Conklin BS, Pausewang J, Schwaab M (2007) Modeling of fluid–structure interactions with the space–time finite elements: arterial fluid mechanics. Int J Numer Methods Fluids 54: 901-22. doi:10.1002/fld.1443 CrossRef
32. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2007) Influence of wall elasticity in patient-specific hemodynamic simulations. Comput Fluids 36: 160-68. doi:10.1016/j.compfluid.2005.07.014 CrossRef
33. Sawada T, Hisada T (2007) Fluid–structure interaction analysis of the two dimensional flag-in-wind problem by an interface tracking ALE finite element method. Comput Fluids 36: 136-46 CrossRef
34. Tezduyar TE, Sathe S (2007) Modeling of fluid–structure interactions with the space–time finite elements: solution techniques. Int J Numer Methods Fluids 54: 855-00. doi:10.1002/fld.1430 CrossRef
35. Takizawa K, Yabe T, Tsugawa Y, Tezduyar TE, Mizoe H (2007) Computation of free–surface flows and fluid–object interactions with the CIP method based on adaptive meshless Soroban grids. Comput Mech 40: 167-83. doi:10.1007/s00466-006-0093-2 CrossRef
36. Takizawa K, Tanizawa K, Yabe T, Tezduyar TE (2007) Ship hydrodynamics computations with the CIP method based on adaptive Soroban grids. Int J Numer Methods Fluids 54: 1011-019. doi:10.1002/fld.1466 CrossRef
37. Yabe T, Takizawa K, Tezduyar TE, Im H-N (2007) Computation of fluid–solid and fluid–fluid interfaces with the CIP method based on adaptive Soroban grids—an overview. Int J Numer Methods Fluids 54: 841-53. doi:10.1002/fld.1473 CrossRef
38. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2007) Numerical investigation of the effect of hypertensive blood pressure on cerebral aneurysm—dependence of the effect on the aneurysm shape. Int J Numer Methods Fluids 54: 995-009. doi:10.1002/fld.1497 CrossRef
39. Manguoglu M, Sameh AH, Tezduyar TE, Sathe S (2008) A nested iterative scheme for computation of incompressible flows in long domains. Comput Mech 43: 73-0. doi:10.1007/s00466-008-0276-0 CrossRef
40. Tezduyar TE, Sathe S, Pausewang J, Schwaab M, Christopher J, Crabtree J (2008) Interface projection techniques for fluid–structure interaction modeling with moving-mesh methods. Comput Mech 43: 39-9. doi:10.1007/s00466-008-0261-7 CrossRef
41. Tezduyar TE, Sathe S, Schwaab M, Pausewang J, Christopher J, Crabtree J (2008) Fluid–structure interaction modeling of ringsail parachutes. Comput Mech 43: 133-42. doi:10.1007/s00466-008-0260-8 CrossRef
42. Tezduyar TE, Sathe S, Schwaab M, Conklin BS (2008) Arterial fluid mechanics modeling with the stabilized space–time fluid–structure interaction technique. Int J Numer Methods Fluids 57: 601-29. doi:10.1002/fld.1633 CrossRef
43. Sathe S, Tezduyar TE (2008) Modeling of fluid–structure interactions with the space–time finite elements: contact problems. Comput Mech 43: 51-0. doi:10.1007/s00466-008-0299-6 CrossRef
44. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2008) Fluid–structure interaction modeling of a patient-specific cerebral aneurysm: influence of structural modeling. Comput Mech 43: 151-59. doi:10.1007/s00466-008-0325-8 CrossRef
45. Bazilevs Y, Calo VM, Hughes TJR, Zhang Y (2008) Isogeometric fluid–structure interaction: theory, algorithms, and computations. Comput Mech 43: 3-7 CrossRef
46. Isaksen JG, Bazilevs Y, Kvamsdal T, Zhang Y, Kaspersen JH, WaterlooK Romner B, Ingebrigtsen T (2008) Determination of wall tension in cerebral artery aneurysms by numerical simulation. Stroke 39: 3172-178 CrossRef
47. Dettmer WG, Peric D (2008) On the coupling between fluid flow and mesh motion in the modelling of fluid–structure interaction. Comput Mech 43: 81-0 CrossRef
48. Bazilevs Y, Hughes TJR (2008) NURBS-based isogeometric analysis for the computation of flows about rotating components. Comput Mech 43: 143-50 CrossRef
49. Heil M, Hazel AL, Boyle J (2008) Solvers for large-displacement fluid–structure interaction problems: segregated versus monolithic approaches. Comput Mech 43: 91-01 CrossRef
50. Sternel DC, Schaefer M, Heck M, Yigit S (2008) Efficiency and accuracy of fluid–structure interaction simulations using an implicit partitioned approach. Comput Mech 43: 103-13 CrossRef
51. Mehl M, Brenk M, Bungartz H-J, Daubner K, Muntean IL, Neckel T (2008) An Eulerian approach for partitioned fluid–structure simulations on Cartesian grids. Comput Mech 43: 115-124 CrossRef
52. Idelsohn SR, Marti J., Souto-Iglesias A, Onate E (2008) Interaction between an elastic structure and free-surface flows: experimental versus numerical comparisons using the PFEM. Comput Mech 43: 125-32 CrossRef
53. Idelsohn SR, Marti J, Limache A, Onate E (2008) Unified Lagrangian formulation for elastic solids and incompressible fluids: application to fluid–structure interaction problems via the PFEM. Comput Methods Appl Mech Eng 197: 1762-776 CrossRef
54. Tezduyar TE, Schwaab M, Sathe S (2009) Sequentially-coupled arterial fluid–structure interaction (SCAFSI) technique. Comput Methods Appl Mech Eng 198: 3524-533. doi:10.1016/j.cma.2008.05.024 CrossRef
55. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2009) Fluid–structure interaction modeling of blood flow and cerebral aneurysm: significance of artery and aneurysm shapes. Comput Methods Appl Mech Eng 198: 3613-621. doi:10.1016/j.cma.2008.08.020 CrossRef
56. Manguoglu M, Sameh AH, Saied F, Tezduyar TE, Sathe S (2009) Preconditioning techniques for nonsymmetric linear systems in computation of incompressible flows. J Appl Mech 76: 021204. doi:10.1115/1.3059576 CrossRef
57. Bazilevs Y, Gohean JR, Hughes TJR, Moser RD, Zhang Y (2009) Patient-specific isogeometric fluid–structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device. Comput Methods Appl Mech Eng 198: 3534-550 CrossRef
58. Bazilevs Y, Hsu M-C, Benson D, Sankaran S, Marsden A (2009) Computational fluid–structure interaction: methods and application to a total cavopulmonary connection. Comput Mech 45: 77-9 CrossRef
59. Idelsohn SR, Pin FD, Rossi R, Onate E (2009) Fluid–structure interaction problems with strong added-mass effect. Int J Numer Methods Eng 80: 1261-294 CrossRef
60. Takizawa K, Christopher J, Tezduyar TE, Sathe S (2010) Space–time finite element computation of arterial fluid–structure interactions with patient-specific data. Int J Numer Methods Biomed Eng 26: 101-16. doi:10.1002/cnm.1241 CrossRef
61. Tezduyar TE, Takizawa K, Moorman C, Wright S, Christopher J (2010) Multiscale sequentially-coupled arterial FSI technique. Comput Mech 46: 17-9. doi:10.1007/s00466-009-0423-2 CrossRef
62. Takizawa K, Moorman C, Wright S, Christopher J, Tezduyar TE (2010) Wall shear stress calculations in space–time finite element computation of arterial fluid–structure interactions. Comput Mech 46: 31-1. doi:10.1007/s00466-009-0425-0 CrossRef
63. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2010) Influence of wall thickness on fluid–structure interaction computations of cerebral aneurysms. Int J Numer Methods Biomed Eng 26: 336-47. doi:10.1002/cnm.1289 CrossRef
64. Manguoglu M, Takizawa K, Sameh AH, Tezduyar TE (2010) Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement. Comput Mech 46: 83-9. doi:10.1007/s00466-009-0426-z CrossRef
65. Mayer UM, Popp A, Gerstenberger A, Wall WA (2010) 3D fluid–structure–contact interaction based on a combined XFEM FSI and dual mortar contact approach. Comput Mech 46: 53-7 CrossRef
66. Calderer R, Masud A (2010) A multiscale stabilized ALE formulation for incompressible flows with moving boundaries. Comput Mech 46: 185-97 CrossRef
67. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2010) Role of 0D peripheral vasculature model in fluid–structure interaction modeling of aneurysms. Comput Mech 46: 43-2. doi:10.1007/s00466-009-0439-7 CrossRef
68. Bazilevs Y, Hsu M-C, Zhang Y, Wang W, Liang X, Kvamsdal T, Brekken R, Isaksen J (2010) A fully-coupled fluid–structure interaction simulation of cerebral aneurysms. Comput Mech 46: 3-6 CrossRef
69. Tezduyar TE, Takizawa K, Moorman C, Wright S, Christopher J (2010) Space–time finite element computation of complex fluid–structure interactions. Int J Numer Methods Fluids 64: 1201-218. doi:10.1002/fld.2221 CrossRef
70. Sugiyama K, Ii S, Takeuchi S, Takagi S, Matsumoto Y (2010) Full Eulerian simulations of biconcave neo-Hookean particles in a Poiseuille flow. Comput Mech 46: 147-57 CrossRef
71. Bazilevs Y, Hsu M-C, Zhang Y, Wang W, Kvamsdal T, Hentschel S, Isaksen J (2010) Computational fluid–structure interaction: methods and application to cerebral aneurysms. Biomech Model Mechanobiol 9: 481-98 CrossRef
72. Kiendl J, Bazilevs Y, Hsu M-C, Wüchner R, Bletzinger K-U (2010) The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches. Comput Methods Appl Mech Eng 199: 2403-416 CrossRef
73. Ryzhakov PB, Rossi R, Idelsohn SR, Onate E (2010) A monolithic Lagrangian approach for fluid–structure interaction problems. Comput Mech 46: 883-99 CrossRef
74. Bazilevs Y, Hsu M-C, Akkerman I, Wright S, Takizawa K, Henicke B, Spielman T, Tezduyar TE (2011) 3D simulation of wind turbine rotors at full scale. Part I: geometry modeling and aerodynamics. Int J Numer Methods Fluids 65: 207-35. doi:10.1002/fld.2400 CrossRef
75. Bazilevs Y, Hsu M-C, Kiendl J, Wüchner R, Bletzinger K-U (2011) 3D simulation of wind turbine rotors at full scale. Part II: fluid–structure interaction modeling with composite blades. Int J Numer Methods Fluids 65: 236-53 CrossRef
76. Takizawa K, Moorman C, Wright S, Spielman T, Tezduyar TE (2011) Fluid–structure interaction modeling and performance analysis of the Orion spacecraft parachutes. Int J Numer Methods Fluids 65: 271-85. doi:10.1002/fld.2348 CrossRef
77. Takizawa K, Moorman C, Wright S, Purdue J, McPhail T, Chen PR, Warren J, Tezduyar TE (2011) Patient-specific arterial fluid–structure interaction modeling of cerebral aneurysms. Int J Numer Methods Fluids 65: 308-23. doi:10.1002/fld.2360 CrossRef
78. Takizawa K, Wright S, Moorman C, Tezduyar TE (2011) Fluid–structure interaction modeling of parachute clusters. Int J Numer Methods Fluids 65: 286-07. doi:10.1002/fld.2359 CrossRef
79. Manguoglu M, Takizawa K, Sameh AH, Tezduyar TE (2011) Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refinement. Int J Numer Methods Fluids 65: 135-49. doi:10.1002/fld.2415 CrossRef
80. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2011) Influencing factors in image-based fluid–structure interaction computation of cerebral aneurysms. Int J Numer Methods Fluids 65: 324-40. doi:10.1002/fld.2448 CrossRef
81. Tezduyar TE, Takizawa K, Brummer T, Chen PR (2011) Space–time fluid–structure interaction modeling of patient-specific cerebral aneurysms. Int J Numer Methods Biomed Eng 27: 1665-710. doi:10.1002/cnm.1433 CrossRef
82. Takizawa K, Tezduyar TE (2011) Multiscale space–time fluid–structure interaction techniques. Comput Mech 48: 247-67. doi:10.1007/s00466-011-0571-z CrossRef
83. Takizawa K, Henicke B, Tezduyar TE, Hsu M-C, Bazilevs Y (2011) Stabilized space–time computation of wind-turbine rotor aerodynamics. Comput Mech 48: 333-44. doi:10.1007/s00466-011-0589-2 CrossRef
84. Takizawa K, Spielman T, Tezduyar TE (2011) Space–time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters. Comput Mech 48: 345-64. doi:10.1007/s00466-011-0590-9 CrossRef
85. Hsu M-C, Bazilevs Y (2011) Blood vessel tissue prestress modeling for vascular fluid–structure interaction simulations. Finite Elem Anal Des 47: 593-99 CrossRef
86. Takizawa K, Spielman T, Moorman C, Tezduyar TE (2012) Fluid–structure interaction modeling of spacecraft parachutes for simulation-based design. J Appl Mech 79: 010907. doi:10.1115/1.4005070 CrossRef
87. Takizawa K, Brummer T, Tezduyar TE, Chen PR (2012) A comparative study based on patient-specific fluid–structure interaction modeling of cerebral aneurysms. J Appl Mech 79: 010908. doi:10.1115/1.4005071 CrossRef
88. Takizawa K, Henicke B, Puntel A, Spielman T, Tezduyar TE (2012) Space–time computational techniques for the aerodynamics of flapping wings. J Appl Mech 79: 010903. doi:10.1115/1.4005073 CrossRef
89. Takizawa K, Henicke B, Montes D, Tezduyar TE, Hsu M-C, Bazilevs Y (2011) Numerical-performance studies for the stabilized space–time computation of wind-turbine rotor aerodynamics. Comput Mech 48: 647-57. doi:10.1007/s00466-011-0614-5 CrossRef
90. Sawada T, Tezuka A (2011) LLM and X-FEM based interface modeling of fluid–thin structure interactions on a non-interface-fitted mesh. Comput Mech 48: 319-32. doi:10.1007/s00466-011-0600-y CrossRef
91. Manguoglu M, Takizawa K, Sameh AH, Tezduyar TE (2011) A parallel sparse algorithm targeting arterial fluid mechanics computations. Comput Mech 48: 377-84. doi:10.1007/s00466-011-0619-0 CrossRef
92. Onate E, Celigueta MA, Idelsohn SR, Salazar F, Suarez B (2011) Possibilities of the particle finite element method for fluid–soil–structure interaction problems. Comput Mech 48: 307-18. doi:10.1007/s00466-011-0617-2 CrossRef
93. Takase S, Kashiyama K, Tanaka S, Tezduyar TE (2011) Space–time SUPG finite element computation of shallow-water flows with moving shorelines. Comput Mech 48: 293-06. doi:10.1007/s00466-011-0618-1 CrossRef
94. Nagaoka S, Nakabayashi Y, Yagawa G, Kim YJ (2011) Accurate fluid–structure interaction computations using elements without mid-side nodes. Comput Mech 48: 269-76. doi:10.1007/s00466-011-0620-7 CrossRef
95. Takizawa K, Tezduyar TE (2012) Computational methods for parachute fluid–structure interactions. Arch Comput Methods Eng 19: 125-69. doi:10.1007/s11831-012-9070-4 CrossRef
96. Takizawa K, Bazilevs Y, Tezduyar TE (2012) Space–time and ALE-VMS techniques for patient-specific cardiovascular fluid–structure interaction modeling. Arch Comput Methods Eng 19: 171-25. doi:10.1007/s11831-012-9071-3 CrossRef
97. Takizawa K, Tezduyar TE (2012) Space–time fluid–structure interaction methods. Math Models Methods Appl Sci 22: 1230001. doi:10.1142/S0218202512300013 CrossRef
98. Takizawa K, Henicke B, Puntel A, Kostov N, Tezduyar TE (2012) Space–time techniques for computational aerodynamics modeling of flapping wings of an actual locust. Comput Mech. doi:10.1007/s00466-012-0759-x
99. Takizawa K, Kostov N, Puntel A, Henicke B, Tezduyar TE (2012) Space–time computational analysis of bio-inspired flapping-wing aerodynamics of a micro aerial vehicle. Comput Mech. doi:10.1007/s00466-012-0758-y
100. Stein KR, Benney RJ, Kalro V, Johnson AA, Tezduyar TE (1997) Parallel computation of parachute fluid–structure interactions. In: Proceedings of AIAA 14th Aerodynamic Decelerator Systems Technology Conference AIAA Paper 97-1505, San Francisco
101. Stein KR, Benney RJ, Tezduyar TE, Leonard JW, Accorsi ML (2001) Fluid–structure interactions of a round parachute: modeling and simulation techniques. J Aircr 38: 800-08. doi:10.2514/2.2864 CrossRef
102. Stein K, Tezduyar T, Kumar V, Sathe S, Benney R, Thornburg E, Kyle C, Nonoshita T (2003) Aerodynamic interactions between parachute canopies. J Appl Mech 70: 50-7. doi:10.1115/1.1530634 CrossRef
103. Stein K, Tezduyar T, Benney R (2003) Computational methods for modeling parachute systems. Comput Sci Eng 5: 39-6. doi:10.1109/MCISE.2003.1166551 CrossRef
104. Tezduyar TE (1992) Stabilized finite element formulations for incompressible flow computations. Adv Appl Mech 28: 1-4. doi:10.1016/S0065-2156(08)70153-4 CrossRef
105. Tezduyar TE, Behr M, Liou J (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 numerical tests. Comput Methods Appl Mech Eng 94: 339-51. doi:10.1016/0045-7825(92)90059-S CrossRef
106. Tezduyar TE, Behr M, Mittal S, Liou J (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. Comput Methods Appl Mech Eng 94: 353-71. doi:10.1016/0045-7825(92)90060-W CrossRef
107. Tezduyar TE (2003) Computation of moving boundaries and interfaces and stabilization parameters. Int J Numer Methods Fluids 43: 555-75. doi:10.1002/fld.505 CrossRef
108. Brooks AN, Hughes TJR (1982) Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier–Stokes equations. Comput Methods Appl Mech Eng 32: 199-59 CrossRef
109. Tezduyar TE, Mittal S, Ray SE, Shih R (1992) Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Comput Methods Appl Mech Eng 95: 221-42. doi:10.1016/0045-7825(92)90141-6 CrossRef
110. Tezduyar TE, Behr M, Mittal S, Johnson AA (1992) 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, pp 7-4
111. Johnson AA, Tezduyar TE (1994) Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces. Comput Methods Appl Mech Eng 119: 73-4. doi:10.1016/0045-7825(94)00077-8 CrossRef
112. Tezduyar TE (2004) Finite element methods for fluid dynamics with moving boundaries and interfaces. In: Stein E, Borst RD, Hughes TJR (eds) Encyclopedia of computational mechanics, fluids, Vol 3, Chap 17. Wiley, New York
113. Tezduyar TE (2007) Finite elements in fluids: special methods and enhanced solution techniques. Comput Fluids 36: 207-23. doi:10.1016/j.compfluid.2005.02.010 CrossRef
114. Karypis G, Kumar V (1998) A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J Sci Comput 20: 359-92 CrossRef
115. Saad Y, Schultz M (1986) GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J Sci Stat Comput 7: 856-69 CrossRef
116. Spielman TR (2011) Space–time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters. Ph.D. thesis, Rice University - 作者单位：Kenji Takizawa (1)
Matthew Fritze (2)
Darren Montes (2)
Timothy Spielman (2)
Tayfun E. Tezduyar (2)
1. Department of Modern Mechanical Engineering and Waseda Institute for Advanced Study, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku-ku, Tokyo, 169-8050, Japan
2. Mechanical Engineering, Rice University, MS 3216100 Main Street, Houston, TX, 77005, USA - ISSN：1432-0924
文摘
Fluid–structure interaction (FSI) modeling of parachutes poses a number of computational challenges. These include the lightness of the parachute canopy compared to the air masses involved in the parachute dynamics, in the case of ringsail parachutes the geometric porosity created by the construction of the canopy from “rings-and “sails-with hundreds of “ring gaps-and “sail slits,-in the case of parachute clusters the contact between the parachutes, and “disreefing-from one stage to another when the parachute is used in multiple stages. The Team for Advanced Flow Simulation and Modeling (T?AFSM) has been successfully addressing these computational challenges with the Stabilized Space–Time FSI (SSTFSI) technique, which was developed and improved over the years by the T?AFSM and serves as the core numerical technology, and a number of special techniques developed in conjunction with the SSTFSI technique. The quasi-direct and direct coupling techniques developed by the T?AFSM, which are applicable to cases with nonmatching fluid and structure meshes at the interface, yield more robust algorithms for FSI computations where the structure is light. The special technique used in dealing with the geometric complexities of the rings and sails is the homogenized modeling of geometric porosity (HMGP), which was developed and improved in recent years by the T?AFSM. The surface-edge-node contact tracking (SENCT) technique was introduced by the T?AFSM as a contact algorithm where the objective is to prevent the structural surfaces from coming closer than a minimum distance in an FSI computation. The recently-introduced conservative version of the SENCT technique is more robust and is now an essential technology in the parachute cluster computations carried out by the T?AFSM. As an additional computational challenge, the parachute canopy might, by design, have some of its panels and sails removed. In FSI computation of parachutes with such “modified geometric porosity,-the flow through the “windows-created by the removal of the panels and the wider gaps created by the removal of the sails cannot be accurately modeled with the HMGP and needs to be actually resolved during the FSI computation. In this paper we focus on parachute disreefing, including the disreefing of parachute clusters, and parachutes with modified geometric porosity, including the reefed stages of such parachutes. We describe the additional special techniques we have developed to address the challenges involved and report FSI computations for parachutes and parachute clusters with disreefing and modified geometric porosity.