Immersed smoothed finite element method for fluid-structure interaction simulation of aortic valves

Computational Mechanics

Volumn 50, Issue 6, 2012, Pages 789-804

  Yao, Jianyao ^a   Liu, G R ^a   Narmoneva, Daria A ^a   Hinton, Robert B ^b   Zhang, Zhi Qian ^c  

^a 705 Engineering Research Center   (United States)

^b CINCINNATI CHILDREN'S HOSPITAL MEDICAL CENTER   (United States)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Aortic valve; Characteristic based split; Fictitious fluid; Fluid structure interaction; Immersed smoothed finite element method

Indexed keywords

3D MODELING; BLOOD; BLOOD VESSELS; DIAGNOSIS; FLUID STRUCTURE INTERACTION; IMAGE ENHANCEMENT; INCOMPRESSIBLE FLOW; MAGNETIC RESONANCE; MAGNETIC RESONANCE IMAGING; MESH GENERATION; NUMERICAL METHODS; SHEAR FLOW;

AORTIC VALVES; CHARACTERISTIC BASED SPLIT SCHEMES; CHARACTERISTIC BASED SPLITS; HYPERELASTIC MATERIALS; INCOMPRESSIBLE VISCOUS FLOWS; NOVEL NUMERICAL METHODS; NUMERICAL RESULTS; SMOOTHED FINITE ELEMENT METHOD;

FINITE ELEMENT METHOD;

EID: 84889090670     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-012-0781-z     Document Type: Article

References (52)

1. Rosamond W, Flegal K et al (2008) Heart disease and stroke statistics - 2008 update: a report from the American Heart Association Statistics Committee and Stroke Statistics Subcommittee. Circulation 117(4): e25-e146
2. Lloyd-Jones D, Adams RJ et al (2010) Heart disease and stroke statistics - 2010 update: a report from the American Heart Association. Circulation 121(4): e135
3. Roger VL, Go AS et al (2012) Heart disease and stroke statistics - 2012 update: a report from the American Heart Association. Circulation 125(4): e122-e130
4. Yacoub MH, Takkenherg JJ (2005) Will heart valve tissue engineering change the world?. Nat Clin Pract Cardiovasc Med 2: 60-61
5. Bonow RO et al (2006) ACC/AHA 2006 guidelines for the management of patients with valvular heart disease: a report of the American College of Cardiology/American Heart Association Task Force on Practice Guidelines (writing committee to revise the 1998 Guidelines for the Management of Patients With Valvular Heart Disease): developed in collaboration with the Society of Cardiovascular Anesthesiologists: endorsed by the Society for Cardiovascular Angiography and Interventions and the Society of Thoracic Surgeons. Circulation 114: e84-e231
6. Subramanian S, Borger MA (2010) Aortic valve reconstruction: current status. Herz 35: 88-93
7. Croft LR, Mofrad MRK (2010) Computational modeling of aortic heart valves, Chap. 7. In: De S, Guilak F, Mofrad MRK (eds) Computational modeling in biomechanics. Springer, New York
8. Labrosse MR, Lobo K, Beller CJ (2010) Structural analysis of the natural aortic valve in dynamics: from unpressurized to physiologically loaded. J Biomech 43: 1916-1922
9. Labrosse MR, Boodhwani M, Sohmer B, Beller CJ (2011) Modeling leaflet correction techniques in aortic valve repair: A finite element study. J Biomech 44: 2292-2298
10. Grande-Allen KJ et al (2001) Finite-element analysis of aortic valve-sparing: influence of graft and stiffness. IEEE Trans Biomed Eng 48: 647-659
11. Howard IC, Patterson EA, Yoxall A (2003) On the opening mechanism of the aortic valve: some observations from simulations. J Med Eng Technol 27: 259-266
12. Hughes TJR, Liu WK, Zimmermann TK (1981) Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Comput Methods Appl Mech Eng 29: 329-349
13. Donea J, Giuliani S, Halleux JP (1982) An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Comput Methods Appl Mech Eng 33: 689- 723
14. Tezduyar TE (1992) Stabilized finite element formulations for incompressible flow computations. Adv Appl Mech 28: 1-44
15. Tezduyar TE, Sathe S (2007) Modeling of fluid-structure interactions with the space-time finite elements: solution techniques. Int J Numer Methods Fluids 54: 855-900
16. Takizawa K, Tezduyar TE (2011) Multiscale space-time fluid-structure interaction techniques. Comput Mech 48: 247-267
17. Takizawa K, Tezduyar TE (2012) Space-time fluid-structure interaction methods. Math Model Methods Appl Sci 22: 1230001
18. Tezduyar TE, Aliabadi S, Behr M, Johnson A, Mittal S (1993) Parallel finite element computation of 3D flows. Computer 26: 27-36
19. 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: 73-94
20. Stein K, Tezduyar TE, Benney R (2003) Mesh Moving Techniques for Fluid-Structure Interactions with Large Displacements. J Appl Mech 70: 58-63
21. Stein K, Tezduyar TE, Benney R (2004) Automatic Mesh Update with the Solid-Extension Mesh Moving Technique. Comput Methods Appl Mech Eng 193: 2019-2032
22. Johnson AA, Tezduyar TE (1999) Advanced Mesh Generation and Update Methods for 3D Flow Simulations. Comput Mech 23: 130-143
23. Takizawa K, Spielman T, Tezduyar TE (2011) Space-time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters. Comput Mech 48: 345-364
24. Bazilevs Y, Hsu MC, Takizawa K, Tezduyar TE (2012) ALE-VMS and ST-VMS methods for computer modeling of wind-turbine rotor aerodynamics and fluid-structure interaction. Math Model Methods Appl Sci 22: 1230002
25. 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: 171-225
26. Tezduyar TE, Takizawa K, Moorman C, Wright S, Christopher J (2010) Multiscale sequentially-coupled arterial FSI technique. Comput Mech 46: 17-29
27. 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: 31-41
28. 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: 43-52
29. Moireau P, Xiao N, Astorino M et al (2012) External tissue support and fluid-structure simulation in blood flows. Biomech Model Mechanobiol 11: 1-18
30. Morsi YS, Yang WW, Wong CS, Das S (2007) Transient fluid-structure coupling for simulation of a trileaflet heart valve using weak coupling. J Artif Organs 10: 96-103
31. Marom G, Haj-Ali R, Raanani E et al (2012) A fluid-structure interaction model of the aortic valve with coaptation and compliant aortic root. Med Biol Eng Comput 50: 173-182
32. Peskin CS (1977) Numerical-analysis of blood-flow in heart. J Comput Phys 25(3): 220-252
33. Peskin CS, McQueen DM (1995) A general method for the computer simulation of biological systems interacting with fluids. Sym Soc Exp Biol 49: 265-276
34. Peskin CS (2002) The immersed boundary method. Acta Numer 11: 479-517
35. Griffith BE, Luo X, Mc McQueen DM, Peskin CS (2009) Simulating the fluid dynamics of natural and prosthetic heart valves using the immersed boundary method. Int J Appl Mech 1(1): 137-177
36. De Hart J, Peters GW, Schreurs PJ, Baaijens FP (2000) A two-dimensional fluid-structure interaction model of the aortic valve. J Biomech 33: 1079-1088
37. De Hart J, Peters GW, Schreurs PJ, Baaijens FP (2003) A three-dimensional computational analysis of fluid-structure interaction in the aortic valve. J Biomech 36: 103-112
38. De Hart J, Peters GW, Schreurs PJ, Baaijens FP (2004) Collagen fibers reduce stresses and stabilize motion of aortic valve leaflets during systole. J Biomech 37: 303-311
39. Zhang L, Gerstenherger A, Wang X, Liu WK (2004) Immersed finite element method. Comput Methods Appl Mech Eng 193: 2051-2067
40. Liu WK, Liu Y, Farrell D et al (2006) Immersed finite element method and its applications to biological systems. Comput Methods Appl Mech Eng 195: 1722-1749
41. Zhang LT, Gay M (2007) Immersed finite element method for fluid-structure interactions. J Fluid Struct 23: 839-857
42. Zhang ZQ, Yao JY, Liu GR (2011) An immersed smoothed finite element method for fluid-structure interaction problems. Int J Comput Methods 8(4): 747-757
43. Zhang ZQ, Liu GR, Khoo BC (2012) A three dimensional immersed smoothed finite element method (3D IS-FEM) for fluid-structure interaction problems. Comput Mech. doi: 10.1007/s00466-012-0710-1
44. Liu GR, Nguyen-Thoi T, Lam KY (2009) An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids. J Sound Vib 320(4-5): 1100-1130
45. Nguyen-Thoi T, Liu GR, Lam KY, Zhang GY (2009) A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements. Int J Numer Methods Eng 78: 324-353
46. Liu GR, Nguyen-Thoi T (2010) Smoothed finite element methods. CRC Press.
47. Zienkiewicz OC, Tayler RL (2000) The finite element method, Vol. 3: Fluid dynamics, 5 edn. Butterworth-Heinemann, Oxford
48. Zienkiewicz OC, Nithiarasu P, Codina R et al (1999) The characteristic-based-split procedure: an efficient and accurate algorithm for fluid problems. Int J Numer Methods Fluids 31(1): 359-392
49. Nithiarasu P, Mathur JS, Weatherill NP, Morgan K (2004) Three-dimensional incompressible flow calculations using the characteristic based split (CBS) scheme. Int J Numer Methods Fluids 44: 1207-1229
50. Löhner R (1995) Robust, vectorized search algorithm for interpolation on unstructured grids. J Comput Phys 118: 380-387
51. 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: 2002-2027
52. Labrosse MR, Beller CJ, Robicsek F, Thubrikar MJ (2006) Geometric modeling of functional trileaflet aortic valves: development and clinical applications. J Biomech 39: 2665-2672