Wall shear stress calculations in space-time finite element computation of arterial fluid-structure interactions

Computational Mechanics

Volumn 46, Issue 1, 2010, Pages 31-41

  Takizawa, Kenji ^a   Moorman, Creighton ^a   Wright, Samuel ^a   Christopher, Jason ^a   Tezduyar, Tayfun E ^a  

^a Rice University   (United States)

Author keywords

Cardiovascular fluid mechanics; Cerebral aneurysms; Fluid structure interactions; Hyperelastic material; Oscillatory shear index; Patient specific data; Space time methods; Wall shear stress

Indexed keywords

BLOOD VESSELS; ELASTICITY; FLUID MECHANICS; HEMODYNAMICS; MECHANICS; MESH GENERATION; SHEAR STRESS; STRESSES;

CARDIOVASCULAR FLUID MECHANICS; CEREBRAL ANEURYSMS; HYPERELASTIC MATERIALS; OSCILLATORY SHEAR INDEX; PATIENT SPECIFIC; SPACE TIME; WALL SHEAR STRESS;

FLUID STRUCTURE INTERACTION;

EID: 77951765156     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-009-0425-0     Document Type: Article

References (68)

1. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2004 Influence of wall elasticity on image-based blood flow simulation Jpn Soc Mech Eng J Ser A (in Japanese) 70 1224 1231
2. J-F Gerbeau M Vidrascu P Frey 2005 Fluid-structure interaction in blood flow on geometries based on medical images Comput Struct 83 155 165 10.1016/j.compstruc.2004.03.083 (Pubitemid 43066196)
3. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2006 Computer modeling of cardiovascular fluid-structure interactions with the deforming-spatial- domain/stabilized space-time formulation Comput Methods Appl Mech Eng 195 1885 1895 1178.76241 10.1016/j.cma.2005.05.050 2203997 (Pubitemid 43116279)
4. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2006 Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures Comput Mech 38 482 490 1160.76061 10.1007/s00466-006-0065-6 (Pubitemid 43967455)
5. Y Bazilevs VM Calo Y Zhang TJR Hughes 2006 Isogeometric fluid-structure interaction analysis with applications to arterial blood flow Comput Mech 38 310 322 1161.74020 10.1007/s00466-006-0084-3 2246128 (Pubitemid 43970670)
6. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2007 Influence of wall elasticity in patient-specific hemodynamic simulations Comput Fluids 36 160 168 1113.76105 10.1016/j.compfluid.2005.07.014 (Pubitemid 44615426)
7. TE Tezduyar S Sathe T Cragin B Nanna BS Conklin J Pausewang M Schwaab 2007 Modeling of fluid-structure interactions with the space-time finite elements: arterial fluid mechanics Int J Numer Methods Fluids 54 901 922 05169598 10.1002/fld.1443 2333014 (Pubitemid 47009684)
8. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 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 1009 05169602 10.1002/fld.1497 2333018 (Pubitemid 47009688)
9. TE Tezduyar S Sathe M Schwaab BS Conklin 2008 Arterial fluid mechanics modeling with the stabilized space-time fluid-structure interaction technique Int J Numer Methods Fluids 57 601 629 05320760 10.1002/fld.1633 2419893
10. Y Bazilevs VM Calo TJR Hughes Y Zhang 2008 Isogeometric fluid-structure interaction: theory, algorithms, and computations Comput Mech 43 3 37 1169.74015 10.1007/s00466-008-0315-x 2443159
11. R Torii M Oshima T Kobayashi K Takagi TE Tezduyar 2008 Fluid-structure interaction modeling of a patient-specific cerebral aneurysm: Influence of structural modeling Comput Mech 43 151 159 1169.74032 10.1007/s00466-008-0325-8
12. JG Isaksen Y Bazilevs T Kvamsdal Y Zhang JH Kaspersen K Waterloo B Romner T Ingebrigtsen 2008 Determination of wall tension in cerebral artery aneurysms by numerical simulation Stroke 39 3172 3178 10.1161/STROKEAHA.107.503698
13. Tezduyar TE, Schwaab M, Sathe S (2008) Sequentially-coupled arterial fluid-structure interaction (SCAFSI) technique. Comput Methods Appl Mech Eng, published online, doi: 10.1016/j.cma.2008.05.024, July
14. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2008) Fluid-structure interaction modeling of blood flow and cerebral aneurysm: Significance of artery and aneurysm shapes. Comput Methods Appl Mech Eng, published online, doi: 10.1016/j.cma.2008.08.020, July
15. 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, published online, doi: 10.1016/j.cma.2009.04.015
16. Takizawa K, Christopher J, Tezduyar TE, Sathe S (2009) Space-time finite element computation of arterial fluid-structure interactions with patient-specific data. Commun Numer Methods Eng, published online, doi: 10.1002/cnm.1241, March
17. Tezduyar TE, Takizawa K, Christopher J (2009) Multiscale sequentially-coupled arterial fluid-structure interaction (SCAFSI) technique. In: Hartmann S, Meister A, Schaefer M, Turek S (eds) International workshop on fluid-structure interaction-Theory, numerics and applications. Kassel University Press, Kassel
18. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE (2009) Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms. Commun Numer Methods Eng, published online, doi: 10.1002/cnm.1289, July
19. T Tezduyar S Aliabadi M Behr A Johnson S Mittal 1993 Parallel finite-element computation of 3D flows Computer 26 27 36 10.1109/2.237441
20. TE Tezduyar SK Aliabadi M Behr S Mittal 1994 Massively parallel finite element simulation of compressible and incompressible flows Comput Methods Appl Mech Eng 119 157 177 0848.76040 10.1016/0045-7825(94)00082-4 (Pubitemid 289947)
21. S Mittal TE Tezduyar 1994 Massively parallel finite element computation of incompressible flows involving fluid-body interactions Comput Methods Appl Mech Eng 112 253 282 0846.76048 10.1016/0045-7825(94)90029-9 1263288 (Pubitemid 278032)
22. S Mittal TE Tezduyar 1995 Parallel finite element simulation of 3D incompressible flows-Fluid-structure interactions Int J Numer Methods Fluids 21 933 953 0873.76047 10.1002/fld.1650211011
23. AA Johnson TE Tezduyar 1997 Parallel computation of incompressible flows with complex geometries Int J Numer Methods Fluids 24 1321 1340 0882.76044 10.1002/(SICI)1097-0363(199706)24:12<1321::AID-FLD562>3.0.CO;2-L (Pubitemid 27405479)
24. AA Johnson TE Tezduyar 1999 Advanced mesh generation and update methods for 3D flow simulations Comput Mech 23 130 143 0949.76049 10.1007/s004660050393
25. V Kalro TE Tezduyar 2000 A parallel 3D computational method for fluid-structure interactions in parachute systems Comput Methods Appl Mech Eng 190 321 332 0993.76044 10.1016/S0045-7825(00)00204-8 (Pubitemid 32042022)
26. K Stein R Benney V Kalro TE Tezduyar J Leonard M Accorsi 2000 Parachute fluid-structure interactions: 3-D Computation Comput Methods Appl Mech Eng 190 373 386 0973.76055 10.1016/S0045-7825(00)00208-5 (Pubitemid 32042026)
27. T Tezduyar Y Osawa 2001 Fluid-structure interactions of a parachute crossing the far wake of an aircraft Comput Methods Appl Mech Eng 191 717 726 1113.76407 10.1016/S0045-7825(01)00311-5 (Pubitemid 34004498)
28. R Ohayon 2001 Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems Comput Methods Appl Mech Eng 190 3009 3019 0971.74032 10.1016/S0045-7825(00)00379-0 (Pubitemid 32386244)
29. K Stein T Tezduyar R Benney 2003 Mesh moving techniques for fluid-structure interactions with large displacements J Appl Mech 70 58 63 1110.74689 10.1115/1.1530635
30. Tezduyar TE, Sathe S, Keedy R, Stein K (2004) Space-time techniques for finite element computation of flows with moving boundaries and interfaces. In: Gallegos S, Herrera I, Botello S, Zarate F, Ayala G (eds) Proceedings of the III international congress on numerical methods in engineering and applied science, CD-ROM, Monterrey, Mexico
31. K Stein TE Tezduyar R Benney 2004 Automatic mesh update with the solid-extension mesh moving technique Comput Methods Appl Mech Eng 193 2019 2032 1067.74587 10.1016/j.cma.2003.12.046 (Pubitemid 38463395)
32. EH van Brummelen R de Borst 2005 On the nonnormality of subiteration for a fluid-structure interaction problem SIAM J Scientific Comput 27 599 621 1136.65334 10.1137/S1064827503431430
33. C Michler EH van Brummelen R de Borst 2005 An interface Newton-Krylov solver for fluid-structure interaction Int J Numer Methods Fluids 47 1189 1195 1069.76033 10.1002/fld.850 (Pubitemid 40464883)
34. TE Tezduyar S Sathe R Keedy K Stein 2006 Space-time finite element techniques for computation of fluid-structure interactions Comput Methods Appl Mech Eng 195 2002 2027 1118.74052 10.1016/j.cma.2004.09.014 2202912 (Pubitemid 43193531)
35. TE Tezduyar S Sathe K Stein 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 5753 1123.76035 10.1016/j.cma.2005.08.023 2243324 (Pubitemid 43942199)
36. Tezduyar TE, Sathe S, Stein K, Aureli L (2006) Modeling of fluid-structure interactions with the space-time techniques. In: Bungartz H-J, Schafer M, (eds) Fluid-structure interaction. Lecture notes in computational science and engineering, vol 53. Springer, Berlin, pp 50-81
37. W Dettmer D Peric 2006 A computational framework for fluid-structure interaction: finite element formulation and applications Comput Methods Appl Mech Eng 195 5754 5779 1155.76354 10.1016/j.cma.2005.10.019 (Pubitemid 43942200)
38. RA Khurram A Masud 2006 A multiscale/stabilized formulation of the incompressible Navier-Stokes equations for moving boundary flows and fluid-structure interaction Comput Mech 38 403 416 05552285 10.1007/s00466-006- 0059-4 (Pubitemid 43967449)
39. U Kuttler C Forster WA Wall 2006 A solution for the incompressibility dilemma in partitioned fluid-structure interaction with pure Dirichlet fluid domains Comput Mech 38 417 429 10.1007/s00466-006-0066-5 (Pubitemid 43967450)
40. 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, Berlin, pp 82-100
41. 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 336-355
42. A Masud M Bhanabhagvanwala RA Khurram 2007 An adaptive mesh rezoning scheme for moving boundary flows and fluid-structure interaction Comput Fluids 36 77 91 1181.76108 10.1016/j.compfluid.2005.07.013 2273855 (Pubitemid 44739664)
43. T Sawada T Hisada 2007 Fuid-structure interaction analysis of the two dimensional flag-in-wind problem by an interface tracking ALE finite element method Comput Fluids 36 136 146 1181.76099 10.1016/j.compfluid.2005.06.007 (Pubitemid 44615424)
44. WA Wall S Genkinger E Ramm 2007 A strong coupling partitioned approach for fluid-structure interaction with free surfaces Comput Fluids 36 169 183 1181.76147 10.1016/j.compfluid.2005.08.007 (Pubitemid 44615427)
45. TE Tezduyar S Sathe 2007 Modeling of fluid-structure interactions with the space-time finite elements: solution techniques Int J Numer Methods Fluids 54 855 900 1144.74044 10.1002/fld.1430 2333013 (Pubitemid 47009683)
46. U Kuttler WA Wall 2008 Fixed-point fluid-structure interaction solvers with dynamic relaxation Comput Mech 43 61 72 10.1007/s00466-008-0255-5
47. WG Dettmer D Peric 2008 On the coupling between fluid flow and mesh motion in the modelling of fluid-structure interaction Comput Mech 43 81 90 05599784 10.1007/s00466-008-0254-6
48. TE Tezduyar 1992 Stabilized finite element formulations for incompressible flow computations Adv Appl Mech 28 1 44 0747.76069 10.1016/S0065-2156(08)70153-4 1157639
49. TE Tezduyar M Behr 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 numerical tests Comput Methods Appl Mech Eng 94 339 351 0745.76044 10.1016/0045-7825(92)90059-S 1153059
50. TE Tezduyar M Behr S Mittal 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 Comput Methods Appl Mech Eng 94 353 371 0745.76045 10.1016/0045-7825(92)90060-W 1153060
51. TE Tezduyar 2003 Computation of moving boundaries and interfaces and stabilization parameters Int J Numer Methods Fluids 43 555 575 1032.76605 10.1002/fld.505 2022905 (Pubitemid 37343253)
52. Hughes TJR, Brooks AN (1979) A multi-dimensional upwind scheme with no crosswind diffusion. In: Hughes TJR (ed) Finite element methods for convection dominated flows, AMD-vol 34. ASME, New York, pp 19-35
53. AN Brooks TJR Hughes 1982 Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comput Methods Appl Mech Eng 32 199 259 0497.76041 10.1016/0045-7825(82)90071-8 679322
54. TE Tezduyar S Mittal SE Ray R Shih 1992 Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements Comput Methods Appl Mech Eng 95 221 242 0756.76048 10.1016/0045- 7825(92)90141-6
55. TJR Hughes LP Franca 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 Comput Methods Appl Mech Eng 59 85 99 0622.76077 10.1016/0045-7825(86)90025-3 868143 (Pubitemid 17483742)
56. 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 7-24 (Pubitemid 23606652)
57. AA Johnson TE Tezduyar 1994 Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces Comput Methods Appl Mech Eng 119 73 94 0848.76036 10.1016/0045-7825(94)00077-8
58. TE Tezduyar 2001 Finite element methods for flow problems with moving boundaries and interfaces Arch Comput Methods Eng 8 83 130 1039.76037 10.1007/BF02897870 (Pubitemid 33303391)
59. Tezduyar TE (2004) Finite element methods for fluid dynamics with moving boundaries and interfaces. In: Stein E, De Borst R, Hughes TJR (eds) Encyclopedia of computational mechanics, vol 3: Fluids, Chap. 17. John Wiley & Sons, New York
60. Tezduyar TE, Cragin T, Sathe S, Nanna B (2007) FSI computations in arterial fluid mechanics with estimated zero-pressure arterial geometry. In: Onate E, Garcia J, Bergan P, Kvamsdal T (eds) Marine 2007, CIMNE, Barcelona, Spain
61. Tezduyar TE, Schwaab M, Sathe S (2007) Arterial fluid mechanics with the sequentially-coupled arterial FSI technique. In: Onate E, Papadrakakis M, Schrefler B (eds) Coupled Problems 2007, CIMNE, Barcelona, Spain
62. Y Saad M Schultz 1986 GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems SIAM J Scientific Stat Comput 7 856 869 0599.65018 10.1137/0907058 848568
63. TE Tezduyar S Sathe J Pausewang M Schwaab J Christopher J Crabtree 2008 Interface projection techniques for fluid-structure interaction modeling with moving-mesh methods Comput Mech 43 39 49 05599787 10.1007/s00466-008-0261-7
64. CA Taylor TJR Hughes CK Zarins 1998 Finite element modeling of three-dimensional pulsatile flow in the abdominal aorta: relevance to atherosclerosis Ann Biomed Eng 158 975 987 10.1114/1.140 1626785
65. AE Green PM Naghdi 1976 A derivation of equations for wave propagation in water of variable depth J Fluid Mech 78 237 246 0351.76014 10.1017/ S0022112076002425
66. H Huang R Virmani H Younis AP Burke RD Kamm RT Lee 2001 The impact of calcification on the biomechanical stability of atherosclerotic plaques Circulation 103 1051 1056 (Pubitemid 32200176)
67. O Frank 1899 Die grundform des arteriellen pulses Zeitung fur Biologie 37 483 586
68. 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 (accepted)