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Highly resolved pulsatile flows through prosthetic heart valves using the entropic lattice-Boltzmann method

  • B. Min Yun (a1), L. P. Dasi (a2), C. K. Aidun (a1) (a3) and A. P. Yoganathan (a1) (a4)


Prosthetic heart valves have been widely used to replace diseased or defective native heart valves. Flow through bileaflet mechanical heart valves (BMHVs) have previously demonstrated complex phenomena in the vicinity of the valve owing to the presence of two rigid leaflets. This study aims to accurately capture the complex flow dynamics for pulsatile flow through a 23 mm St Jude Medical (SJM) Regent™ BMHV. The lattice-Boltzmann method (LBM) is used to simulate pulsatile flow through the valve with the inclusion of reverse leakage flow at very high spatiotemporal resolution that can capture fine details in the pulsatile BMHV flow field. For higher-Reynolds-number flows, this high spatiotemporal resolution captures features that have not been observed in previous coarse resolution studies. In addition, the simulations are able to capture with detail the features of leaflet closing and the asymmetric b-datum leakage jet during mid-diastole. Novel flow physics are visualized and discussed along with quantification of turbulent features of this flow, which is made possible by this parallelized numerical method.


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Aidun, C. K. & Clausen, J. R. 2010 Lattice Boltzmann method for complex flows. Annu. Rev. Fluid Mech. 42, 439472.
Aidun, C. K. & Lu, Y. 1995 Lattice Boltzmann simulation of solid particles suspended in fluid. J. Stat. Phys. 81 (1), 4961.
Aidun, C. K., Lu, Y. & Ding, E. J. 1998 Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation. J. Fluid Mech. 373, 287311.
Antiga, L. & Steinman, D. A. 2009 Rethinking turbulence in blood. Biorheology 46 (2), 7781.
Black, M. M. & Drury, P. J. 1994 Mechanical and other problems of artificial valves. Pathol. Devices 86, 127159.
Borazjani, I., Ge, L. & Sotiropoulos, F. 2008 Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies. J. Comput. Phys. 227 (16), 75877620.
Borazjani, I. & Sotiropoulos, F. 2010 The effect of implantation orientation of a bileaflet mechanical heart valve on kinematics and hemodynamics in an anatomic aorta. Trans. ASME J. Biomech. Engng 132, 111005.
Brown, M. L., Parsheh, M. & Aidun, C. K. 2006 Turbulent flow in a converging channel: effect of contraction and return to isotropy. J. Fluid Mech. 560, 437448.
Dasi, L. P., Ge, L., Simon, H. A., Sotiropoulos, F. & Yoganathan, A. P. 2007 Vorticity dynamics of a bileaflet mechanical heart valve in an axisymmetric aorta. Phys. Fluids 19, 067105.
Dasi, L. P., Murphy, D. W., Glezer, A. & Yoganathan, A. P. 2008 Passive flow control of bileaflet mechanical heart valve leakage flow. J. Biomech. 41 (6), 11661173.
De Tullio, M. D., Cristallo, A., Balaras, E. & Verzicco, R. 2010 Direct numerical simulation of the pulsatile flow through an aortic bileaflet mechanical heart valve. J. Fluid Mech. 622, 259290.
Ding, E. J. & Aidun, C. K. 2003 Extension of the lattice-Boltzmann method for direct simulation of suspended particles near contact. J. Stat. Phys. 112 (3), 685708.
Dumont, K., Vierendeels, J., Kaminsky, R., van Nooten, G., Verdonck, P. & Bluestein, D. 2007 Comparison of the hemodynamic and thrombogenic performance of two bileaflet mechanical heart valves using a CFD/FSI model. Trans. ASME J. Biomech. Engng 129, 558565.
Dyverfeldt, P., Hope, M. D., Tseng, E. E. & Saloner, D. 2013 Magnetic resonance measurement of turbulent kinetic energy for the estimation of irreversible pressure loss in aortic stenosis. JACC: Cardiovasc. Imag. 6 (1), 6471.
Ellis, J. T., Healy, T. M., Fontaine, A. A., Saxena, R. & Yoganathan, A. P. 1996 Velocity measurements and flow patterns within the hinge region of a Medtronic Parallel bileaflet mechanical valve with clear housing. J. Heart Valve Disease 5 (6), 591599.
Fallon, A. M., Shah, N., Marzec, U. M., Warnock, J. N., Yoganathan, A. P. & Hanson, S. R. 2006 Flow and thrombosis at orifices simulating mechanical heart valve leakage regions. Trans. ASME J. Biomech. Engng 128, 3039.
Ge, L., Dasi, L. P., Sotiropoulos, F. & Yoganathan, A. P. 2008 Characterization of hemodynamic forces induced by mechanical heart valves: Reynolds vs. viscous stresses. Ann. Biomed. Engng 36 (2), 276297.
Giersiepen, M., Wurzinger, L. J., Opitz, R. & Reul, H. 1990 Estimation of shear stress-related blood damage in heart valve prostheses – in vitro comparison of 25 aortic valves. Intl J. Artif. Organs 13 (5), 300306.
Grigioni, M., Caprari, P., Tarzia, A. & D’Avenio, G. 2005 Prosthetic heart valves’ mechanical loading of red blood cells in patients with hereditary membrane defects. J. Biomech. 38 (8), 15571565.
Hunt, J. C. R., Wray, A. A. & Moin, P. 1988 Eddies, streams, and convergence zones in turbulent flows. In Studying Turbulence Using Numerical Simulation Databases, 2. Proceedings of the 1988 Summer Program, Report CTR-S88, vol. 1, pp. 193208. Center For Turbulence Research.
Jeong, J. & Hussain, F. 1995 On the identification of a vortex. J. Fluid Mech. 285, 6994.
Kaldararova, M., Balazova, E., Tittel, P., Stankovicova, I., Brucknerova, I. & Masura, J. 2007 Echocardiographic measurements of the aorta in normal children and young adults. Bratisl. Lek. Listy 108 (10–11), 437441.
Kameneva, M. V., Burgreen, G. W., Kono, K., Repko, B., Antaki, J. F. & Umezu, M. 2004 Effects of turbulent stresses upon mechanical hemolysis: experimental and computational analysis. ASAIO J. 50 (5), 418423.
Keating, B., Vahala, G., Yepez, J., Soe, M. & Vahala, L. 2007 Entropic lattice Boltzmann representations required to recover Navier–Stokes flows. Phys. Rev. E 75 (3), pp. 036712-1 to 036712-11.
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177 (1), 133166.
Krishnan, S., Udaykumar, H. S., Marshall, J. S. & Chandran, K. B. 2006 Two-dimensional dynamic simulation of platelet activation during mechanical heart valve closure. Ann. Biomed. Engng 34 (10), 15191534.
Ladd, A. J. C. 1994 Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. J. Fluid Mech. 271, 285309.
Ladd, A. J. C. & Verberg, R. 2001 Lattice-Boltzmann simulations of particle–fluid suspensions. J. Stat. Phys. 104 (5), 11911251.
Lamson, T. C., Rosenberg, G., Geselowitz, D. B., Deutsch, S., Stinebring, D. R., Frangos, J. A. & Tarbell, J. M. 1993 Relative blood damage in the three phases of a prosthetic heart valve flow cycle. ASAIO J. 39 (3), M626.
Liu, J. S., Lu, P. C. & Chu, S. H. 2000 Turbulence characteristics downstream of bileaflet aortic valve prostheses. Trans. ASME J. Biomech. Engng 122 (2), 118124.
Murphy, D. W., Dasi, L. P., Vukasinovic, J., Glezer, A. & Yoganathan, A. P. 2010 Reduction of procoagulant potential of b-datum leakage jet flow in bileaflet mechanical heart valves via application of vortex generator arrays. Trans. ASME J. Biomech. Engng 132, 071011.
Pees, C., Glagau, E., Hauser, J. & Michel-Behnke, I. 2013 Reference values of aortic flow velocity integral in 1193 healthy infants, children, and adolescents to quickly estimate cardiac stroke volume. Pediatr. Cardiol. 34, 11941200.
Pettersen, M. D., Du, W., Skeens, M. E. & Humes, R. A. 2008 Regression equations for calculation of $\langle i\rangle z\langle /i\rangle $ scores of cardiac structures in a large cohort of healthy infants, children, and adolescents: an echocardiographic study. J. Am. Soc. Echocardiogr. 21 (8), 922934.
Pope, S. B. 2000 Turbulent Flows. Cambridge University Press.
Sallam, A. M. & Hwang, N. H. 1984 Human red blood cell hemolysis in a turbulent shear flow: contribution of Reynolds shear stresses. Biorheology 21 (6), 783797.
Simon, H. A., Ge, L., Sotiropoulos, F. & Yoganathan, A. P. 2010 Numerical investigation of the performance of three hinge designs of bileaflet mechanical heart valves. Ann. Biomed. Engng 38 (11), 32953310.
Sluysmans, T. & Colan, S. D. 2005 Theoretical and empirical derivation of cardiovascular allometric relationships in children. J. Appl. Physiol. 99 (2), 445457.
Tambasco, M. & Steinman, D. A. 2003 Path-dependent hemodynamics of the stenosed carotid bifurcation. Ann. Biomed. Engng 31 (9), 10541065.
Wu, J., Yun, B. M., Fallon, A. M., Hanson, S. R., Aidun, C. K. & Yoganathan, A. P. 2011 Numerical investigation of the effects of channel geometry on platelet activation and blood damage. Ann. Biomed. Engng 39 (2), 897910.
Yeung, P. K. & Pope, S. B. 1989 Lagrangian statistics from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 207 (1), 531586.
Yoganathan, A. P., Fogel, M., Gamble, S., Morton, M., Schmidt, P., Secunda, J., Vidmar, S. & Nido, P. 2013 A new paradigm for obtaining marketing approval for pediatric-sized prosthetic heart valves. J. Thorac. Cardiovasc. Surg. 146 (4), 879886.
Yoganathan, A., Leo, H., Travis, B. & Teoh, S. 2003 Heart valve bioengineering. In Encyclopedia of Comprehensive Structural Integrity (CSI), pp. 795796. Elsevier Science.
Yun, B. M.2014 Simulations of pulsatile flow through bileaflet mechanical heart valves using a suspension flow model: To assess blood damage. PhD thesis, Georgia Institute of Technology.
Yun, B. M., Dasi, L. P., Aidun, C. K. & Yoganathan, A. P. 2014a Computational modelling of flow through prosthetic heart valves using the entropic lattice-Boltzmann method. J. Fluid Mech. 743, 170201.
Yun, B. M., McElhinney, D. B., Arjunon, S., Mirabella, L., Aidun, C. K. & Yoganathan, A. P. 2014b Computational simulations of flow dynamics and blood damage through a bileaflet mechanical heart valve scaled to pediatric size and flow. J. Biomech. (in press) 10.1016/j.jbiomech.2014.06.018.
Yun, B. M., Wu, J., Simon, H. A., Arjunon, S., Sotiropoulos, F., Aidun, C. K. & Yoganathan, A. P. 2012 A numerical investigation of blood damage in the hinge area of aortic bileaflet mechanical heart valves during the leakage phase. Ann. Biomed. Engng 40 (7), 14681485.
Zilberman, M. V., Khoury, P. R. & Kimball, R. T. 2005 Two-dimensional echocardiographic valve measurements in healthy children: gender-specific differences. Pediatr. Cardiol. 26 (4), 356360.
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Highly resolved pulsatile flows through prosthetic heart valves using the entropic lattice-Boltzmann method

  • B. Min Yun (a1), L. P. Dasi (a2), C. K. Aidun (a1) (a3) and A. P. Yoganathan (a1) (a4)


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