Evaluation of a fictitious domain method for predicting dynamic response of mechanical heart valves

Flow phenomena around heart valves are important for the motion of the valve leaflets, hence the dynamics of the valve. This work presents an evaluation of a two-dimensional moving rigid heart valve, in which a fictitious domain method is used to describe fluid–structure interaction. Valve motion and fluid flow around the valve were computed for several Reynolds and Strouhal numbers. Particle Image Velocimetry measurements in an in vitro experimental set-up were performed to validate the computational results. The influences of variations of the flow-pulse, expressed in Reynolds and Strouhal number, are well predicted by the computational method. As the fictitious domain method can readily be applied to fully three-dimensional fluid–structure interaction problems, this study indicates that this method is well suited for the analysis of valve dynamics and ventricular flow in physiologically realistic geometries.

[1]  J. J. Horsten.  On the analysis of moving heart valves : a numerical fluid-structure interaction model , 1990 .

[2]  H Reul,et al.  Fluid mechanics of the natural mitral valve. , 1981, Journal of biomechanics.

[3]  F. Baaijens.  A fictitious domain/mortar element method for fluid-structure interaction , 2001 .

[4]  M. Gharib,et al.  Vortex shedding as a mechanism for free emboli formation in mechanical heart valves. , 2000, Journal of biomechanical engineering.

[5]  Philippe A. Tanguy,et al.  A three-dimensional fictitious domain method for incompressible fluid flow problems , 1997 .

[6]  Yong-Taek Im,et al.  Hexahedral mesh generation for remeshing in three-dimensional metal forming analyses , 2003 .

[7]  M. Yacoub,et al.  Asymmetric redirection of flow through the heart , 2000, Nature.

[8]  J. Westerweel.  Digital particle image velocimetry: theory and application , 1993 .

[9]  K B Chandran,et al.  Effect of prosthetic mitral valve geometry and orientation on flow dynamics in a model human left ventricle. , 1989, Journal of biomechanics.

[10]  J Fisher,et al.  A three-dimensional, time-dependent analysis of flow through a bileaflet mechanical heart valve: comparison of experimental and numerical results. , 1996, Journal of biomechanics.

[11]  F. N. van de Vosse,et al.  Finite-element-based computational methods for cardiovascular fluid-structure interaction , 2003 .

[12]  A P Yoganathan,et al.  Three-dimensional computational model of left heart diastolic function with fluid-structure interaction. , 2000, Journal of biomechanical engineering.

[13]  M Grigioni,et al.  The influence of the leaflets' curvature on the flow field in two bileaflet prosthetic heart valves. , 2001, Journal of biomechanics.

[14]  I. Krukenkamp,et al.  Free emboli formation in the wake of bi-leaflet mechanical heart valves and the effects of implantation techniques. , 2002, Journal of biomechanics.

[15]  G. G. Peters,et al.  A two-dimensional fluid–structure interaction model of the aortic value , 2000 .

[16]  C. Willert,et al.  Digital particle image velocimetry , 1991 .

[17]  R. Pélissier,et al.  Ventricular flow Dynamic past Bileaflet Prosthetic Heart Valves , 1995, The International journal of artificial organs.

[18]  K B Chandran,et al.  An in vitro comparative study of St. Jude Medical and Edwards-Duromedics bileaflet valves using laser anemometry. , 1989, Journal of biomechanical engineering.

[19]  C S Peskin,et al.  A general method for the computer simulation of biological systems interacting with fluids. , 1995, Symposia of the Society for Experimental Biology.

[20]  C. Peskin.  Flow patterns around heart valves: A numerical method , 1972 .

[21]  P. Verdonck,et al.  Computer simulation of intraventricular flow and pressure gradients during diastole. , 2000, Journal of biomechanical engineering.

[22]  Charles S. Peskin,et al.  Flow patterns around heart valves , 1973 .

[23]  S. Patankar.  Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[24]  Gianni Pedrizzetti,et al.  Model and influence of mitral valve opening during the left ventricular filling. , 2003, Journal of biomechanics.

[25]  A. Yoganathan,et al.  Hemodynamic assessment of carbomedics bileaflet heart valves by ultrasound: studies in the aortic and mitral positions. , 1996, Ultrasound in medicine & biology.

[26]  F P T Baaijens,et al.  A three-dimensional computational analysis of fluid-structure interaction in the aortic valve. , 2003, Journal of biomechanics.

[27]  R. Glowinski,et al.  A fictitious domain method for Dirichlet problem and applications , 1994 .

[28]  H T Low,et al.  Pulsatile flow studies of a porcine bioprosthetic aortic valve in vitro: PIV measurements and shear-induced blood damage. , 2001, Journal of biomechanics.

[29]  van Aa Anton Steenhoven,et al.  Model studies of the closing behaviour of the aortic valve , 1979, Journal of Fluid Mechanics.

[30]  M Cerrolaza,et al.  Analysis of 3D transient blood flow passing through an artificial aortic valve by Lattice-Boltzmann methods. , 1998, Journal of biomechanics.

[31]  G. Sutherland,et al.  What is the ideal orientation of a mitral disc prosthesis? An in vivo haemodynamic study based on colour flow imaging and continuous wave Doppler. , 1989, European heart journal.