A coupled sharp-interface immersed boundary-finite-element method for flow-structure interaction with application to human phonation.

A new flow-structure interaction method is presented, which couples a sharp-interface immersed boundary method flow solver with a finite-element method based solid dynamics solver. The coupled method provides robust and high-fidelity solution for complex flow-structure interaction (FSI) problems such as those involving three-dimensional flow and viscoelastic solids. The FSI solver is used to simulate flow-induced vibrations of the vocal folds during phonation. Both two- and three-dimensional models have been examined and qualitative, as well as quantitative comparisons, have been made with established results in order to validate the solver. The solver is used to study the onset of phonation in a two-dimensional laryngeal model and the dynamics of the glottal jet in a three-dimensional model and results from these studies are also presented.

[1]  J. Flanagan,et al.  Synthesis of voiced sounds from a two-mass model of the vocal cords , 1972 .

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

[3]  R. Mittal,et al.  Numerical study of pulsatile flow in a constricted channel , 2003, Journal of Fluid Mechanics.

[4]  Rajat Mittal,et al.  A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries , 2008, J. Comput. Phys..

[5]  D J Wheatley,et al.  Dynamic modelling of prosthetic chorded mitral valves using the immersed boundary method. , 2007, Journal of biomechanics.

[6]  R. Mittal,et al.  A Computational Study of the Effect of False Vocal Folds on Glottal Flow and Vocal Fold Vibration During Phonation , 2009, Annals of Biomedical Engineering.

[7]  Yos S. Morsi,et al.  Transient fluid–structure coupling for simulation of a trileaflet heart valve using weak coupling , 2007, Journal of Artificial Organs.

[8]  E. Cuthill,et al.  Reducing the bandwidth of sparse symmetric matrices , 1969, ACM '69.

[9]  D. Berry,et al.  A finite-element model of vocal-fold vibration. , 2000, The Journal of the Acoustical Society of America.

[10]  Zhaoyan Zhang,et al.  Coherent structures of the near field flow in a self-oscillating physical model of the vocal folds. , 2007, The Journal of the Acoustical Society of America.

[11]  W. Schröder,et al.  High-speed PIV measurements of the flow downstream of a dynamic mechanical model of the human vocal folds , 2005 .

[12]  Fariborz Alipour,et al.  Aerodynamic and Acoustic Effects of False Vocal Folds and Epiglottis in Excised Larynx Models , 2007, The Annals of otology, rhinology, and laryngology.

[13]  Charles S. Peskin,et al.  Flow patterns around heart valves: a digital computer method for solving the equations of motion , 1973 .

[14]  H. S. Udaykumar,et al.  A Sharp Interface Cartesian Grid Methodfor Simulating Flows with ComplexMoving Boundaries , 2001 .

[15]  D. Berry,et al.  Analysis of vocal disorders with methods from nonlinear dynamics. , 1994, Journal of speech and hearing research.

[16]  Wing Kam Liu,et al.  Nonlinear Finite Elements for Continua and Structures , 2000 .

[17]  Patrick D. Anderson,et al.  A fluid-structure interaction method with solid-rigid contact for heart valve dynamics , 2006, J. Comput. Phys..

[18]  Xudong Zheng.  Biomechanical modeling of glottal aerodynamics and vocal fold vibration during phonation , 2009 .

[19]  Ingo R. Titze,et al.  Phonation threshold pressure in a physical model of the vocal fold mucosa. , 1993, The Journal of the Acoustical Society of America.

[20]  I R Titze.  The human vocal cords: a mathematical model. II. , 1974, Phonetica.

[21]  Fotis Sotiropoulos,et al.  Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies , 2008, J. Comput. Phys..

[22]  J. Kan.  A second-order accurate pressure correction scheme for viscous incompressible flow , 1986 .

[23]  X. Luob,et al.  Effect of ventricle motion on the dynamic behaviour of chorded mitral valves , 2008 .

[24]  I R Titze,et al.  Mechanical stress in phonation. , 1994, Journal of voice : official journal of the Voice Foundation.

[25]  Eli J Weinberg,et al.  Transient, Three-dimensional, Multiscale Simulations of the Human Aortic Valve , 2007, Cardiovascular engineering.

[26]  Jack J Jiang,et al.  Asymmetric airflow and vibration induced by the Coanda effect in a symmetric model of the vocal folds. , 2007, The Journal of the Acoustical Society of America.

[27]  J Vierendeels,et al.  Validation of a Fluid–Structure Interaction Model of a Heart Valve using the Dynamic Mesh Method in Fluent , 2004, Computer methods in biomechanics and biomedical engineering.

[28]  Luc Mongeau,et al.  Computational aeroacoustics of phonation, part II: Effects of flow parameters and ventricular folds. , 2002, The Journal of the Acoustical Society of America.

[29]  R C Scherer,et al.  Finite element simulation of glottal flow and pressure. , 1993, The Journal of the Acoustical Society of America.

[30]  M. S. Chong,et al.  A general classification of three-dimensional flow fields , 1990 .

[31]  Karyn S Kunzelman,et al.  Non-linear fluid-coupled computational model of the mitral valve. , 2005, The Journal of heart valve disease.

[32]  Rajat Mittal,et al.  An immersed-boundary method for flow-structure interaction in biological systems with application to phonation , 2008, J. Comput. Phys..

[33]  Thomas Baer,et al.  Investigation of phonation using excised larynxes , 1975 .

[34]  Gianluca Iaccarino,et al.  IMMERSED BOUNDARY METHODS , 2005 .

[35]  I. Titze,et al.  Voice simulation with a body-cover model of the vocal folds. , 1995, The Journal of the Acoustical Society of America.

[36]  Xiaoyu Luo,et al.  Effect of ventricle motion on the dynamic behaviour of chorded mitral valves , 2008 .

[37]  Hong Zhao,et al.  A fixed-mesh method for incompressible flow-structure systems with finite solid deformations , 2008, J. Comput. Phys..

[38]  G. Batchelor,et al.  An Introduction to Fluid Dynamics , 1968 .

[39]  Philippe Pibarot,et al.  New insights into the assessment of the prosthetic valve performance in the presence of subaortic stenosis through a fluid-structure interaction model. , 2007, Journal of biomechanics.

[40]  Xiangmin Jiao,et al.  Fluid–structure interactions of the mitral valve and left heart: Comprehensive strategies, past, present and future , 2010, International journal for numerical methods in engineering.

[41]  Norman E. Gibbs,et al.  A Comparison of Several Bandwidth and Profile Reduction Algorithms , 1976, TOMS.

[42]  P Verdonck,et al.  PIV Validation of Blood-heart Valve Leaflet Interaction Modelling , 2007, The International journal of artificial organs.

[43]  William C. Reynolds,et al.  Measurements in fully developed turbulent channel flow , 1975 .

[44]  Wei Zhao,et al.  Computational aeroacoustics of phonation, part I: Computational methods and sound generation mechanisms. , 2002, The Journal of the Acoustical Society of America.

[45]  Patrick Patrick Anderson,et al.  A combined fictitious domain/adaptive meshing method for fluid–structure interaction in heart valves , 2004 .

[46]  L. Mongeau,et al.  Reducing the number of vocal fold mechanical tissue properties: evaluation of the incompressibility and planar displacement assumptions. , 2008, The Journal of the Acoustical Society of America.

[47]  Byron D. Erath,et al.  An investigation of bimodal jet trajectory in flow through scaled models of the human vocal tract , 2006 .

[48]  Rajat Mittal,et al.  A sharp interface immersed boundary method for compressible viscous flows , 2007, J. Comput. Phys..