Erratum: Modelling of fluid-structure interactions with the space-time finite elements: Arterial fluid mechanics (International Journal for Numerical Methods in Fluids (10.1002/fld.1443));Modelling of fluid-structure interactions with the space-time finite elements: Arterial fluid mechanics

International Journal for Numerical Methods in Fluids

Volumn 54, Issue 6-8, 2007, Pages 901-922

  Tezduyar, Tayfun E ^a   Sathe, Sunil ^a   Cragin, Timothy ^a   Nanna, Bryan ^a   Conklin, Brian S ^b   Pausewang, Jason ^a   Schwaab, Matthew ^a  

^a Rice University   (United States)

^b BAYLOR COLLEGE OF MEDICINE   (United States)

Author keywords

Cardiovascular fluid mechanics; Cerebral aneurysms; Finite elements; Fluid structure interactions; Space time methods

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FLUID MECHANICS;

ARTERIAL FLUID MECHANICS; CARDIOVASCULAR FLUID MECHANICS; CEREBRAL ANEURYSMS; SPACE-TIME FINITE ELEMENTS;

FLUID STRUCTURE INTERACTION;

APPROXIMATION THEORY; COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FLUID MECHANICS; FLUID STRUCTURE INTERACTION;

EID: 34347326941     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1486     Document Type: Erratum

References (63)

1. Tezduyar TE. Stabilized finite element formulations for incompressible flow computations. Advances in Applied Mechanics 1992; 28:1-44.
2. Tezduyar TE, Behr M, Liou J. 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. Computer Methods in Applied Mechanics and Engineering 1992; 94:339-351.
3. Tezduyar TE, Behr M, Mittal S, Liou J. 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 1992; 94:353-371.
4. Mittal S, Tezduyar TE. Parallel finite element simulation of 3D incompressible flows - fluid-structure interactions. International Journal for Numerical Methods in Fluids 1995; 21:933-953.
5. Kalro V, Tezduyar TE. A parallel 3D computational method for fluid-structure interactions in parachute systems. Computer Methods in Applied Mechanics and Engineering 2000; 190:321-332.
6. Stein K, Benney R, Kalro V, Tezduyar TE, Leonard J, Accorsi M. Parachute fluid-structure interactions: 3-D computation. Computer Methods in Applied Mechanics and Engineering 2000; 190:373-386.
7. Tezduyar T, Osawa Y. Fluid-structure interactions of a parachute crossing the far wake of an aircraft. Computer Methods in Applied Mechanics and Engineering 2001; 191:717-726.
8. Ohayon R. Reduced symmetric models for modal analysis of internal structural-acoustic and hydroelastic-sloshing systems. Computer Methods in Applied Mechanics and Engineering 2001; 190:3009-3019.
9. Tezduyar TE. Computation of moving boundaries and interfaces and stabilization parameters. International Journal for Numerical Methods in Fluids 2003; 43:555-575.
10. Michler C, van Brummelen EH, Hulshoff SJ, de Borst R. The relevance of conservation for stability and accuracy of numerical methods for fluid-structure interaction. Computer Methods in Applied Mechanics and Engineering 2003; 192:4195-4215.
11. Gerbeau J-F, Vidrascu M. A quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows. Mathematical Modelling and Numerical Analysis 2003; 37:663-680.
12. Tezduyar TE, Sathe S, Keedy R, Stein K. Space-time techniques for finite element computation of flows with moving boundaries and interfaces. In Proceedings of the III International Congress on Numerical Methods in Engineering and Applied Science, Gallegos S, Herrera I, Botello S, Zarate F, Ayala G (eds), Monterrey, Mexico, CD-ROM, 2004.
13. Hubner B, Walhorn E, Dinkler D. A monolithic approach to fluid-structure interaction using space-time finite elements. Computer Methods in Applied Mechanics and Engineering 2004; 193:2087-2104.
14. Michler C, van Brummelen EH, Hulshoff SJ, de Borst R. A monolithic approach to fluid-structure interaction. Computers and Fluids 2004; 33:839-848.
15. Tezduyar TE, Sathe S, Senga M, Aureli L, Stein K, Griffin B. Finite element modeling of fluid-structure interactions with space-time and advanced mesh update techniques. Proceedings of the 10th International Conference on Numerical Methods in Continuum Mechanics (CD-ROM), Zilina, Slovakia, 2005.
16. van Brummelen EH, de Borst R. On the nonnormality of subiteration for a fluid-structure interaction problem. SIAM Journal on Scientific Computing 2005; 27:599-621.
17. Michler C, van Brummelen EH, de Borst R. An interface Newton-Krylov solver for fluid-structure interaction. International Journal for Numerical Methods in Fluids 2005; 47:1189-1195.
18. Fernandez MA, Moubachir M. A Newton method using exact Jacobians for solving fluid-structure coupling. Computers and Structures 2005; 83:127-142.
19. Gerbeau J-F, Vidrascu M, Frey P. Fluid-structure interaction in blood flow on geometries based on medical images. Computers and Structures 2005; 83:155-165.
20. Tezduyar TE, Sathe S, Keedy R, Stein K. Space-time finite element techniques for computation of fluid-structure interactions. Computer Methods in Applied Mechanics and Engineering 2006; 195:2002-2027.
21. Tezduyar TE, Sathe S, Stein K. Solution techniques for the fully-discretized equations in computation of fluid-structure interactions with the space-time formulations. Computer Methods in Applied Mechanics and Engineering 2006; 195:5743-5753.
22. Bazilevs Y, Calo VM, Zhang Y, Hughes TJR. Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Computational Mechanics 2006; 38:310-322.
23. Masud A, Khurram RA. A multiscale finite element method for the incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering 2006; 195:1750-1777.
24. Khurram RA, Masud A. A multiscale/stabilized formulation of the incompressible Navier-Stokes equations for moving boundary flows and fluid-structure interaction. Computational Mechanics 2006; 38:403-416,
25. Masud A. Effects of mesh motion on the stability and convergence of ALE based formulations for moving boundary flows. Computational Mechanics 2006; 38:430-439.
26. Kuttler U, Forster C, Wall WA. A solution for the incompressibility dilemma in partitioned fluid-structure interaction with pure Dirichlet fluid domains. Computational Mechanics 2006; 38:417-429.
27. Dettmer W, Peric D. A computational framework for fluid-rigid body interaction: finite element formulation and applications. Computer Methods in Applied Mechanics and Engineering 2006; 195:1633-1666.
28. Tezduyar TE, Sathe S, Stein K, Aureli L. Modeling of fluid-structure interactions with the space-time techniques. In Fluid-Structure Interaction, Bungartz H-J, Schafer M (eds), Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 50-81.
29. Lohner R, Cebral JR, Yang C, Baum JD, Mestreau EL, Soto O. Extending the range of applicability of the loose coupling approach for FSI simulations. In Fluid-Structure Interaction, Bungartz H-J, Schafer M (eds), Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 82-100.
30. Wall WA, Gerstenberger A, Gamnitzer P, Forster C, Ramm E, Large deformation fluid-structure interaction - advances in ALE methods and new fixed grid approaches. In Fluid-Structure Interaction, Bungartz H-J, Schafer M (eds), Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 195-232.
31. Bletzinger K-U, Wuchner R, Kupzok A. Algorithmic treatment of shells and free form-membranes in FSI. In Fluid-Structure Interaction, Bungartz H-J, Schafer M (eds), Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 336-355,
32. Masud A, Bhanabhagvanwala M, Khurram RA. An adaptive mesh rezoning scheme for moving boundary flows and fluid-structure interaction. Computers and Fluids 2007; 36:77-91.
33. Sawada T, Hisada T, Fluid-structure interaction analysis of the two dimensional flag-in-wind problem by an interface tracking ALE finite element method. Computers and Fluids 2007; 36:136-146.
34. Wall WA, Genkinger S, Ramm E. A strong coupling partitioned approach for fluid-structure interaction with free surfaces. Computers and Fluids 2007; 36:169-183.
35. Dettmer W, Peric D. A computational framework for fluid-structure interaction: finite element formulation and applications. Computer Methods in Applied Mechanics and Engineering 2006 (published online).
36. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Influence of wall elasticity on image-based blood flow simulation. Japan Society of Mechanical Engineers Journal Series A 2004; 70:1224-1231 (in Japanese).
37. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Computation of cardiovascular fluid-structure interactions with the DSD/SST method. Proceedings of the 6th World Congress on Computational Mechanics (CD-ROM), Beijing, China, 2004.
38. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Computer modeling of cardiovascular fluid-structure interactions with the deforming-spatial-domain/stabilized space-time formulation. Computer Methods in Applied Mechanics and Engineering 2006; 195:1885-1895.
39. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Fluid-structure interaction modeling of aneurysmal conditions with high and normal blood pressures. Computational Mechanics 2006; 38:482-490.
40. Torii R, Oshima M, Kobayashi T, Takagi K, Tezduyar TE. Influence of wall elasticity in patient-specific hemodynamic simulations. Computers and Fluids 2007; 36:160-168.
41. Hughes TJR, Brooks AN. A multi-dimensional upwind scheme with no crosswind diffusion. In Finite Element Methods for Convection Dominated Flows, Hughes TJR (ed.), AMD-Vol.34. ASME: New York, 1979; 19-35.
42. Brooks AN, Hughes TJR. 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 1982; 32:199-259.
43. Tezduyar TE, Mittal S, Ray SE, Shih R. Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Computer Methods in Applied Mechanics and Engineering 1992; 95:221-242.
44. Hughes TJR, Franca LP, Balestra M. 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 1986; 59:85-99.
45. Hughes TJR, Hulbert GM. Space-time finite element methods for elastodynamics: formulations and error estimates. Computer Methods in Applied Mechanics and Engineering 1988; 66:339-363.
46. Tezduyar TE, Behr M, Mittal S, Johnson AA. Computation of unsteady incompressible flows with the finite dement methods - space-time formulations, iterative strategies and massively parallel implementations. New Methods in Transient Analysis, PVP-Vol.246/ AMD-Vol. 143. ASME: New York, 1992; 7-24.
47. Johnson AA, Tezduyar TE. Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces. Computer Methods in Applied Mechanics and Engineering 1994; 119:73-94.
48. Tezduyar TE. Finite element methods for flow problems with moving boundaries and interfaces. Archives of Computational Methods in Engineering 2001; 8:83-130.
49. Tezduyar TE, Sathe S. Modeling of fluid-structure interactions with the space-time finite elements: solution techniques. International Journal for Numerical Methods in Fluids, in this issue.
50. Betsch P, Gruttmann F, Stein E. A 4-node finite shell element for the implementation of general hyperelastic 3d-elasticity at finite strains. Computer Methods in Applied Mechanics and Engineering 1996; 130:57-79.
51. Stuparu M. Human heart valves. Hyperelastic material modeling. Proceedings of the X-th Conference on Mechanical Vibrations, Timisoara, Romania, 2002.
52. Saad Y, Schultz M. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal on Scientific and Statistical Computing 1986; 7:856-869.
53. Womersley JR. Method for the calculation of velocity, rate of flow and viscos drag in arteries when the pressure gradient is known. Journal of Physiology 1955; 127:553-563.
54. Otto F. Die grundform des arteriellen pulses. Zeitung fur Biologie 1899; 37:483-586.
55. Piersol NE, Lee S, Kalata W, Loth F, Fischer PF, Leaf G, Alperin N, Bassiouny HS. Automated simulation of velocity and wall shear stress patterns inside a healthy carotid bifurcation, http://web.mit.edu/selee/ www/menu1/research/healthy_carotid.html
56. Krejza J, Arkuszewski M, Kasner SE, Weigele J, Ustymowicz A, Hurst RW, Cucchiara BL, Messe SR. Carotid artery diameter in men and women and the relation to body and neck size. Stroke 2006; 37:1103-1105.
57. http://www.hopkinsmedicine.org/Press_releases/2004/11_09c_04.html
58. Edwards M. Carotid arteries: use of ultrasound duplex imaging for detection of plaque, http://test.cvtcollege.org/Ac_Programs/ dms_vascular/studentmisty.html
59. http://www.vascularweb.org/-CONTRIBUTION_PAGES/Patient-Information/ 3-Most-Common-AVA/AorticAneurysms_AVA.html
60. http://www.slrsurgery.org/divisions/vascular.html
61. http://www.camsf.com/vasc_aortic.html
62. Li AE, Kamel I, Rando F, Anderson M, Lima JAC, Kumbasar B, Bluemke DA. Using MRI to assess aortic wall thickness in the multiethnic study of atherosclerosis: distribution by race, sex, and age. American Journal of Roentgenology 2004; 182:593-597.
63. Rowland T, Potts J, Potts T, Son-Hing J, Harbison G, Sandor G. Cardiovascular responses to exercise in children and adolescents with myocardial dysfunction. American Heart Journal 1999; 137:126-133.