Direct numerical simulation of a 2D-stented aortic heart valve at physiological flow rates

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 15, Issue 11, 2012, Pages 1157-1179

  Dimakopoulos, Y ^a   Bogaerds, A C B ^a   Anderson, P D ^a   Hulsen, M A ^a   Baaijens, F P T ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

aortic heart valve; fictitious domain; fluid structure interaction; physiological conditions; shear thinning

Indexed keywords

AORTIC HEART VALVES; AORTIC VALVES; BLOOD FLOW; COMPUTATIONAL DOMAINS; CORE REGION; ELASTIC DOMAIN; FICTITIOUS DOMAINS; FINITE DENSITY; FINITE LENGTH; FLOW DIRECTION; FLOW DOMAINS; FLOW INSTABILITIES; HYPER ELASTIC; HYPERBOLIC MOMENTUM; LARGE DEFORMATIONS; MIXED FINITE ELEMENTS; MOMENTUM AND MASS BALANCE; NONCONFORMING MESH; NONLINEAR INTERACTIONS; PHYSIOLOGICAL CONDITION; PHYSIOLOGICAL FLOW; STRESS FIELD; TIME INTEGRATION; TIME VARYING;

BLOOD; BLOOD VESSELS; COMPUTER SIMULATION; LAGRANGE MULTIPLIERS; REYNOLDS NUMBER; SHEAR THINNING; VORTEX FLOW;

PHYSIOLOGY;

ALGORITHM; AORTA VALVE; ARTICLE; BIOLOGICAL MODEL; BIOMEDICAL ENGINEERING; BLOOD RHEOLOGY; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; HEART VALVE PROSTHESIS; HEMODYNAMICS; HUMAN; PHYSIOLOGY; STENT;

ALGORITHMS; AORTIC VALVE; BIOMEDICAL ENGINEERING; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; HEART VALVE PROSTHESIS; HEMODYNAMICS; HEMORHEOLOGY; HUMANS; MODELS, CARDIOVASCULAR; STENTS;

EID: 84868686059     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255842.2011.581238     Document Type: Article

References (55)

1. Baaijens, FPT. 2001. A fictitious domain/mortar element method for fluid-structure interaction. Int J Numer Methods Fluids, 35(7): 743-761.
2. Barth, WL, Branets, LV and Carey, GF. 2008. Non-Newtonian flow in branched pipes and artery model. Int J Numer Methods Fluids, 57: 531-553.
3. Barth, WL and Carey, GF. 2007. On a boundary condition for pressure-driven laminar flow of incompressible fluids. Int J Numer Methods Fluids, 54: 1313-1325.
4. Bellhouse, BJ and Talbot, L. 1969. The fluid mechanics of the aortic valve. J Fluid Mech, 35(4): 721-735.
5. Black, MM, Howard, IC, Huang, X and Patterson, EA. 1991. A three-dimensional analysis of bioprosthetic heart valve. J Biomech, 24(9): 793-795, 862-866.
6. Borazjani, I, Ge, L and Sotiropoulos, F. 2008. Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3d rigid bodies. J Comp Phys, 227(16): 7587-7620.
7. Cacciola, G, Peters, GWM and Schreurs, PJG. 2000. A three-dimensional mechanical analysis of a stentless fibre-reinforced aortic valve prosthesis. J Biomech, 33(5): 521-530.
8. Chandran, KB, Kim, SH and Han, G. 1991. Stress distribution on the cusps of a polyurethane trileaflet heart valve prosthesis in the closed position. J Biomech, 24(6): 385-395.
9. Chatzidai, N, Giannousakis, A, Dimakopoulos, Y and Tsamopoulos, J. 2009. On the elliptic mesh generation in domains containing inclusions and undergoing large deformations. J Comp Phys, 228(6): 1980-2011.
10. Chien, S, King, RG, Skalak, R, Usami, S and Copley, AL. 1975. Viscoelastic properties of human blood and red cell suspensions. Biorheology, 12: 341-346.
11. Connell, B and Yue, D. 2007. Flapping dynamics of a flag in a uniform stream. J Fluid Mech, 581: 33-68.
12. Cross, MM. 1965. Rheology of non-Newtonian fluids: a new flow equation for pseudoplastic systems. J Colloid Sci, 20: 417-437.
13. Dasi, LP, Ge, L, Simon, HA, Sotiropoulos, F and Yoganathan, AP. 2007. Vorticity dynamics of a bileaflet mechanical heart valve in an axisymmetric aorta. Phys Fluids, 19: 1-17. 067105
14. Dasi, LP, Simon, HA, Sucosky, P and Yoganathan, AP. 2009. Fluid mechanics of artificial heart valves. Clin Exp Pharmacol Physiol, 36: 225-237.
15. de Hart, J, Cacciola, G, Schreurs, PJG and Peters, GWM. 1998. A three-dimensional analysis of a fibre-reinforced aortic valve prosthesis. J Biomech, 31(7): 629-638.
16. de Hart, J, Peters, GWM, Schreurs, PJG and Baaijens, FPT. 2000. A two-dimensional fluid-structure interaction model of the aortic valve. J Biomech, 33(9): 1079-1088.
17. de Hart, J, Peters, GWM, Schreurs, PJG and Baaijens, FPT. 2003a. A three-dimensional computational analysis of fluid-structure interaction in the aortic valve. J Biomech, 36(1): 103-112.
18. de Hart, J, Baaijens, FPT, Peters, GWM and Schreurs, PJGA. 2003b. computational fluid-structure interaction analysis of a fiber-reinforced stentless aortic valve. J Biomech, 36(5): 699-712.
19. de Tullio, MD, Cristallo, A, Balaras, E and Verzicco, R. 2009. Direct numerical simulation of the pulsatile flow through an aortic bileaflet mechanical heart valve. J Fluid Mech, 622: 259-290.
20. Dimakopoulos, Y and Tsamopoulos, J. 2006. Transient displacement of Newtonian liquids by gas in periodically constricted tubes. AIChE J, 52(8): 2707-2726.
21. Driessen, NJB, Mol, A, Bouten, CVC and Baaijens, FPT. 2007. Modelling the mechanics of tissue-engineered human heart valve leaflets. J Biomech, 40(2): 325-334.
22. Dwyer, HA, Matthews, PB, Azadani, A, Jaussaud, N, Ge, L, Guy, S and Tseng, EE. 2009. Computational fluid dynamics simulation of transcatheter aortic valve degeneration. Int Cardiovasc Theor Surg, 9: 301-308.
23. 2 transport in aortic valve cusps: importance of intrinsic microcirculation. Am J Physiol Heart Circ Physiol, 285(5): 2099-2104.
24. Gijsen FJH. 1998. Modeling of wall shear stress in large arteries [PhD Thesis]. Technische Universiteit Eindhoven, Eindhoven (ISBN 90-386-0680-X)
25. Gijsen, FJH, Allanic, E, van de Vosse, FN and Janssen, JD. 1999a. The influence of the non-Newtonian properties of blood on the flow in large arteries: unsteady flow in a 90°curved tube. J Biomech, 32(7): 705-713.
26. Gijsen, FJH, van de Vosse, FN and Janssen, JD. 1999b. The influence of the non-Newtonian properties of blood on the flow in large arteries: steady flow in a carotid bifurcation model. J Biomech, 32(6): 601-608.
27. Glowinski, R, Pan, T-W and Periaux, J. 1994. A fictitious domain method for Dirichlet problem and applications. Comp Methods Appl Mech Eng, 111(3-4): 283-303.
28. Hwang, W-R, Hulsen, MA and Meijer, HEH. 2004. Direct simulation of particle suspensions in sliding bi-periodic frames. J Comp Phys, 194(2): 742-772.
29. Karniadakis, GE, Israeli, M and Orszag, SA. 1991. High-order splitting methods for incompressible Navier-Stokes equations. J Comp Phys, 97(2): 414-443.
30. Kele, KD. 1952. Leonardo da Vinci on moment of the heart and blood, London: Harvey and Blythe.
31. Lamichhane BP. 2006. Higher order mortar finite elements with dual Lagrange multiplier spaces and applications [PhD Thesis]. Institut für Angewandte Analysis und Numerische Simulation Universität Stuttgart
32. Liu, K, Radhakrishnan, H and Barocas, VH. 2008. Simulation of flow around a thin, flexible obstruction by means of a deforming grid overlapping a fixed grid. Int J Numer Methods Fluids, 56: 723-738.
33. Mills, P, Rubi, JM and Quemada, D. 1980. "Suspension flow". In Rheology, fluids, Edited by: Astarita, G, Marrucci, G and Nicolais, L. Vol. 2, 127-147. New York: Plenum Press.
34. Morbiducci, U, Ponzini, R, Rizzo, G, Cadioli, M, Espositi, A, de Cobelli, F, Maschio, AD, Montevecchi, FM and Redaelli, A. 2009. In vivo quantification of helical blood flow in human aorta by time-resolved three-dimensional cine phase contrast magnetic resonance imaging. Ann Biomed Eng, 37(3): 516-531.
35. Nobili, M, Morbiducci, U, Ponzini, R, Del Gaudio, C, Balducci, A, Grigioni, M, Maria Montevecchi, F and Redaelli, A. 2008. Numerical simulation of the dynamics of a bileaflet prosthetic heart valve using a fluid-structure interaction approach. J Biomech, 41(11): 2539-2550.
36. Papaioannou, J, Karapetsas, G, Dimakopoulos, Y and Tsamopoulos, J. 2009. Injection of a viscoplastic material inside a tube or between parallel disks: conditions for wall detachment of the advancing front. J Rheol, 53(5): 1155-1191.
37. Papanastasiou, TC, Dimitriadis, VD, Scriven, LE, Macosko, CW and Sani, RL. 1996. On the inlet stress condition and admissibility of solution of fiber-spinning. Adv Polym Techol, 15(3): 237-244.
38. Papanastasiou, TC, Malamataris, N and Ellwood, K. 1992. New outflow boundary condition. Int J Numer Methods Fluids, 14(5): 587-608.
39. Saad, Y. 2000. Iterative methods for sparse linear systems, 2nd ed, Philadelphia, PA: Society for Industrial and Applied Mathematics.
40. Sacks, MS and Yoganathan, AP. 2007. Heart valve function: a biomechanical perspective. Philos Trans R Soc Lond B: Biol Sci, 362(1484): 1369-1391.
41. Schenk, O and Gärtner, K. 2004. Solving unsymmetric sparse systems of linear equations with PARDISO. J Future Gen Comp Syst, 20(3): 475-487.
42. Schenk, O, Gärtner, K and Fichtner, W. 2000. Scalable parallel sparse factorization with left-right looking strategy on shared memory multiprocessor. BIT, 40(1): 158-176.
43. Shelley, MJ and Zhang, J. 2011. Flapping and bending bodies interacting with fluid flows. Ann Rev Fluid Mech, 43: 449-465.
44. Silverthorn, DU. 2006. Human physiology: an integrated approach, 4th ed., San Francisco, CA: Benjamin Cummings.
45. Sotiropoulos, F and Borazjani, I. 2009. A review of state-of-the-art numerical methods for simulating flow through mechanical heart valves. Med Biol Eng Comput, 47: 245-256.
46. Stijnen, JMA, Bogaerds, ACB, de Hart, J, Bovendeerd, PHM, de Mol, BAJM and Vosse, FN. 2009. Computational analysis of ventricular valve-valve interaction: influence of flow conditions. Int J Comp Fluid Dyn, 23(8): 609-622.
47. Thom, T, Haase, N, Rosamond, W, Howard, VJ, Rumsfeld, J, Manolio, T, Zheng, ZJ, Flegal, K, O'Donnell, CKittner, S. 2006. Heart disease and stroke statics-2006 update: a report from the American heart association statistics committee and stroke statistics sub-committee. Circulation, 113(6): e85-e151.
48. Thubrikar, M. 1990. The aortic valve, Boca Raton, FL: CRC.
49. Van Loon R. 2005. A 3D method for modelling the fluid-structure interaction of heart valves [PhD Thesis]. Technische Universiteit Eindhoven, Eindhoven (ISBN 90-386-2687-8)
50. Van Loon, R, Anderson, PD, Baaijens, FPT and van de Vosse, FN. 2005. A three-dimensional fluid-structure interaction method for heart valve modelling. CR Mecanique, 333: 856-866.
51. Van Loon, R, Anderson, PD, de Hart, J and Baaijens, FPT. 2004. A combined fictitious domain/adaptive meshing method for fluid-structure interaction in heart valves. Int J Numer Methods Fluids, 46(5): 533-544.
52. Van Loon, R, Anderson, PD and van de Vosse, FN. 2006. A fluid-structure interaction method with solid-rigid contact for heart valve dynamics. J Comp Phys, 217: 806-823.
53. Vesely, I and Noseworthy, R. 1992. Micromechanics of the fibrosa and the ventricularis in aortic valve leaflets. J Biomech, 25: 101-113.
54. Yoganathan, AP, He, Z and Jones, SC. 2004. Fluid mechanics of heart valves. Ann Rev Biomed Eng, 6: 331-362.
55. Weinberg, EJ and Kaazempur Mofrad, MR. 2007. Transient, three-dimensional, multiscale simulations of the human aortic valve. Cardiovasc Eng, 7: 140-155.