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

Journal of Biomechanical Engineering

Volumn 132, Issue 11, 2010, Pages

  Zheng, X ^a   Xue, Q ^a   Mittal, R ^a   Beilamowicz, S ^b  

^a Whiting School of Engineering   (United States)

^b GEORGE WASHINGTON UNIVERSITY   (United States)

Author keywords

Finite element method flow structure interaction; Flow induced vibration; Immersed boundary method; Phonation

Indexed keywords

COMPLEX FLOW; COUPLED METHOD; FLOW INDUCED VIBRATIONS; FLOW SOLVER; FLOW-STRUCTURE INTERACTION; HIGH-FIDELITY SOLUTIONS; IMMERSED BOUNDARY; IMMERSED BOUNDARY METHODS; LARYNGEAL MODEL; PHONATION; QUANTITATIVE COMPARISON; THREE-DIMENSIONAL FLOW; THREE-DIMENSIONAL MODEL; VISCOELASTIC SOLIDS; VOCAL FOLDS;

FLUID STRUCTURE INTERACTION; THREE DIMENSIONAL; TURBULENT FLOW; VIBRATIONS (MECHANICAL);

FINITE ELEMENT METHOD;

ANALYTIC METHOD; ANALYTICAL PARAMETERS; ARTICLE; FINITE ELEMENT ANALYSIS; FLOW KINETICS; FLOW STRUCTURE INTERACTION; GEOMETRY; IMMERSED BOUNDARY METHOD; LARYNX; MATHEMATICAL MODEL; MECHANICAL STRESS; PHONATION; PROCESS MODEL; QUALITATIVE ANALYSIS; QUANTITATIVE ANALYSIS; SOLID STATE; STOCHASTIC MODEL; THREE DIMENSIONAL IMAGING; VIBRATION; VISCOELASTICITY; VOCAL CORD; BIOLOGICAL MODEL; BIOMECHANICS; COMPARATIVE STUDY; COMPUTER SIMULATION; ELASTICITY; HISTOLOGY; HUMAN; PHYSIOLOGY; VALIDATION STUDY; VISCOSITY;

BIOMECHANICS; COMPUTER SIMULATION; ELASTICITY; FINITE ELEMENT ANALYSIS; HUMANS; IMAGING, THREE-DIMENSIONAL; MODELS, BIOLOGICAL; PHONATION; VIBRATION; VISCOSITY; VOCAL CORDS;

EID: 77958452595     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4002587     Document Type: Article

References (50)

1. Dumont K. Stijnen J.M. A. Vierendeels J. van de Vosse F.N. Verdonck P.R. Validation of a Fluid-Structure Interaction Model of a Heart Valve Using the Dynamic Mesh Method in Fluent. Comput. Methods Biomech. Biomed. Eng. 2004, 7(3):139-146. CMBEFS, 1025-5842, 10.1080/10255840410001715222
2. Einstein D.R. Kunzelman K.S. Reinhall P.G. Nicosia M.A. Cochran R.P. Non-Linear Fluid-Coupled Computational Model of the Mitral Valve. J. Heart Valve Dis. 2005, 14(3):376-385. 0966-8519
3. Einstein D.R. del Pin F. Kunzelman K. Xiangmin J. Kuprat A.P. Carson J.P. Guccione J.M. Ratcliffe M.B. Fluid-Structure Interactions of the Mitral Valve and Left Heart: Comprehensive Strategies, Past, Present and Future. Int. J. Numer. Methods Biomed. Eng. 2010, 26:348-380. 10.1002/cnm.1280
4. Guivier C. Deplano V. Pibarot P. New Insights Into the Assessment of the Prosthetic Valve Performance in the Presence of Subaortic Stenosis Through a Fluid-Structure Interaction Model. J. Biomech. 2007, 40(10):2283-2290. JBMCB5, 0021-9290, 10.1016/j.jbiomech.2006.10.010
5. Kaminsky R. Dumont K. Weber H. Schroll M. Verdonck P. PIV Validation of Blood-Heart Valve Leaflet Interaction Modeling. Int. J. Artif. Organs 2007, 30(7):640-648. IJAODS, 0391-3988
6. Morsi Y.S. Yang W.W. Wong G.S. Das S. Transient Fluid-Structure Coupling for Simulation of a Trileaflet Heart Valve Using Weak Coupling. Int. J. Artif. Organs 2007, 10(2):96-103. IJAODS, 0391-3988, 10.1007/s10047-006-0365-9
7. Weinberg E.J. Kaazempur Mofrad M.R. Transient, Three-Dimensional, Multiscale Simulations of the Human Aortic Valve. Cardiovasc. Eng. 2007, 7(4):140-155. 1567-8822, 10.1007/s10558-007-9038-4
8. Peskin C.S. Flow Patterns Around Heart Valve: A Digital Computer Method for Solving the Equations of Motion. 1972, Ph.D. thesis, Albert Einstein College of Medicine, Bronx, NY.
9. Borazjani R. Ge L. Sotiropoulos F. Curvilinear Immersed Boundary Method for Simulating Fluid Structure Interaction With Complex 3D Rigid Body. J. Comput. Phys. 2008, 227:7587-7620. JCTPAH, 0021-9991, 10.1016/j.jcp.2008.04.028
10. De Hart J. Peters G.W. Schreurs P.J. Baaijens F. P. A Three-Dimensional Computational Analysis of Fluid-Structure Interaction in the Aortic Valve. J. Biomech. 2003, 36(1):103-112. JBMCB5, 0021-9290, 10.1016/S0021-9290(02)00244-0
11. Mittal R. Iaccarino G. Immersed Boundary Methods. Annu. Rev. Fluid Mech. 2005, 37:239-261. ARVFA3, 0066-4189, 10.1146/annurev.fluid.37.061903.175743
12. van Loon R. Anderson P.D. van de Vosse F.N. A Fluid-Structure Interaction Method With Solid-Rigid Contact for Heart Valve Dynamics. J. Comput. Phys. 2006, 217(2):806-823. JCTPAH, 0021-9991, 10.1016/j.jcp.2006.01.032
13. van Loon R. Anderson P.D. de Hart J. Baaijens F.P. T. A Combined Fictitious Domain/Adaptive Meshing Method for Fluid-Structure Interaction in Heart Valves. Int. J. Numer. Methods Fluids 2004, 46(5):533-544. IJNFDW, 0271-2091, 10.1002/fld.775
14. Watton P. Luo X.Y. Yin M. Bernacca G.M. Wheatley D.J. Effect of Ventricle Motion on the Dynamic Behavior of Chorded Mitral Valves. J. Fluids Struct. 2008, 24:58-74. 0889-9746, 10.1016/j.jfluidstructs.2007.06.004
15. Watton P.N. Luo X.Y. Wang X. Bernacca G.M. Molloy P. Wheatley D.J. Dynamic Modelling of Prosthetic Chorded Mitral Valves Using the Immersed Boundary Method. J. Biomech. 2007, 40(3):613-626. JBMCB5, 0021-9290, 10.1016/j.jbiomech.2006.01.025
16. Mittal R. Dong H. Bozkurttas M. Najjar F.M. Vargas A. von Loebbecke A. A Versatile Sharp Interface Method for Incompressible Flows With Complex Boundaries. J. Comput. Phys. 2008, 227(10):4825-4852. JCTPAH, 0021-9991, 10.1016/j.jcp.2008.01.028
17. Luo H. Mittal R. Zheng X. Bielamowicz S.A. Walsh R.J. Hahn J.K. An Immersed-Boundary Method for Flow-Structure Interaction in Biological Systems With Application to Phonation. J. Comput. Phys. 2008, 227:9303-9332. JCTPAH, 0021-9991, 10.1016/j.jcp.2008.05.001
18. Zhao H. Freund J.B. Moser R.D. A Fixed-Mesh Method of for Incompressible Flow-Structure Systems With Finite Solid Deformations. J. Comput. Phys. 2008, 227:3114-3140. JCTPAH, 0021-9991, 10.1016/j.jcp.2007.11.019
19. Hirano M. Structure and Vibratory Behavior of the Vocal Folds. Dynamic Aspect of Speech Production 1977, University of Tokyo Press, Tokyo, Japan.
20. Belytschko T. Liu W. Moran B. Nonlinear Finite Elements for Continua and Structures 2000, and Wiley, New York.
21. Van Kan J. A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow. SIAM J. Sci. Stat. Comput. 1986, 7(3):870-891. SIJCD4, 0196-5204, 10.1137/0907059
22. Udaykumar H.S. Mittal R. Pampunggoon P. Khanna A. A Sharp Interface Cartesian Grid Method for Simulating Flows With Complex Moving Boundaries. J. Comput. Phys. 2001, 174:345-380. JCTPAH, 0021-9991, 10.1006/jcph.2001.6916
23. Fung Y.C. Biomechanics 1993, 2nd ed., Springer-Verlag, New York.
24. Cuthill E. McKee J. Reducing the Bandwidth of Sparse Symmetric Matrices. 1969, 157-172. and Proceedings of the 24th National Conference ACM
25. Gibbs N.E. Poole W.G. Stockmeyer P.K. A Comparison of Several Bandwidth and Profile Reduction Algorithms. ACM Trans. Math. Softw. 1976, 2(4):322-330. ACMSCU, 0098-3500, 10.1145/355705.355707
26. Zheng X. Biomechanical Modeling of Glottal Aerodynamics and Vocal Fold Vibration During Phonation. 2009, Ph.D. thesis, The George Washington University, Washington, DC.
27. Ghias R. Mittal R. Dong H. A Shape Interface Immersed Boundary Method for Compressible Viscous Flow. J. Comput. Phys. 2007, 225(1):528-553. JCTPAH, 0021-9991, 10.1016/j.jcp.2006.12.007
28. Batchelor G.K. An Introduction to Fluid Dynamics 2000, Cambridge University Press, Cambridge, UK.
29. Ishizaka K. Flanagan J.L. Synthesis of Voiced Sounds From a Two-Mass Model of the Vocal Cords. Bell Syst. Tech. J. 1972, 51(6):1233-1268. BSTJAN, 0005-8580
30. Ishizaka K. Equivalent Lumped-Mass Models of Vocal Fold. Vocal Fold Physiology 1981, 231-241. University of Tokyo Press, Tokyo, Japan
31. Story B.H. Titze I.R. Voice Simulation With a Body-Cover Model of the Vocal Folds. J. Acoust. Soc. Am. 1995, 97(2):1249-1260. JASMAN, 0001-4966, 10.1121/1.412234
32. Titze I.R. The Human Vocal Cords: A Mathematical Model: Part I. Phonetica 1973, 28:129-170. PHNTAW, 0031-8388, 10.1159/000259453
33. Guo C.-G. Scherer R.C. Finite Element Simulation of Glottal Flow and Pressure. J. Acoust. Soc. Am. 1993, 94(2):688-700. JASMAN, 0001-4966, 10.1121/1.406886
34. Zhang C. Zhao W. Frankel S. Mongeau L. Computational Aeroacoustics of Phonation, Part II: Effects of Flow Parameters and Ventricular Folds. J. Acoust. Soc. Am. 2002, 112(5):2147-2154. JASMAN, 0001-4966, 10.1121/1.1506694
35. Zhao W. Zhang C. Frankel S. Mongeau L. Computational Aeroacoustics of Phonation, Part I: Computational Methods and Sound Generation Mechanisms. J. Acoust. Soc. Am. 2002, 112(5):2134-2146. JASMAN, 0001-4966, 10.1121/1.1506693
36. Alipour F. Berry D.A. Titze I.R. A Finite-Element Model of Vocal-Fold Vibration. J. Acoust. Soc. Am. 2000, 108(6):3003-3012. JASMAN, 0001-4966, 10.1121/1.1324678
37. Cook D.D. Nauman E. Mongeau L. Reducing the Number of Vocal Fold Mechanical Tissue Properties: Evaluation of the Incompressibility and Planar Displacement Assumptions. J. Acoust. Soc. Am. 2008, 124(6):3888-3896. JASMAN, 0001-4966, 10.1121/1.2996300
38. Tao C. Zhang Y. Hottinger D.G. Jiang J.J. Asymmetric Airflow and Vibration Induced by the Coanda Effect in a Symmetric Model of the Vocal Folds. J. Acoust. Soc. Am. 2007, 122(4):2270-2278. JASMAN, 0001-4966, 10.1121/1.2773960
39. Zheng X. Bielamowicz S. Luo H. Mittal R. Computational Study of the Effect of False Vocal Folds on Glottal Flow on Vocal Fold Vibration During Phonation. Ann. Biomed. Eng. 2009, 37(3):625-642. ABMECF, 0090-6964, 10.1007/s10439-008-9630-9
40. Herzel H. Berry D. Titze I.R. Analysis of Vocal Disorders With Methods From the Nonlinear Dynamics. J. Speech Hear. Res. 1994, 37:1008-1019. JSPHAH, 0022-4685
41. Baer T. Investigation of Phonation Using Excised Larynges. 1975, Ph.D. thesis, Massachusetts of Technology, Cambridge, MA.
42. Titze I.R. Schmidt S.S. Titze M.R. Phonation Threshold Pressure in a Physical Model of the Vocal Fold Mucosa. J. Acoust. Soc. Am. 1995, 97(5):3080-3084. JASMAN, 0001-4966, 10.1121/1.411870
43. Alipour F. Jaiswal S. Finnegan E. Aerodynamic and Acoustic Effects of False Vocal Folds and Epiglottis in Excised Larynx Models. Ann. Otol. Rhinol. Laryngol. 2007, 116(2):135-144. AORHA2, 0003-4894
44. Erath B.D. Plesniak M.W. An Investigation of Bimodal Jet Trajectory in Flow Through Scaled Models of the Human Vocal Tract. Exp. Fluids 2006, 40:683-696. EXFLDU, 0723-4864, 10.1007/s00348-006-0106-0
45. Neubauer J. Zhang Z. Coherent Structures of the Near Field Flow in a Self-Oscillating Physical Model of the Vocal Folds. J. Acoust. Soc. Am. 2007, 121(2):1102-1118. JASMAN, 0001-4966, 10.1121/1.2409488
46. Triep M. Brücker C. Schröder W. High-Speed PIV Measurements of the Flow Downstream of a Dynamic Mechanical Model of the Human Vocal Folds. Exp. Fluids 2005, 39:232-245. EXFLDU, 0723-4864, 10.1007/s00348-005-1015-3
47. Titze I.R. Mechanical Stress in Phonation. J. Voice 1994, 8(2):99-105. JOVOEA, 0892-1997, 10.1016/S0892-1997(05)80302-9
48. Chong M.S. Perry A.E. A General Classification of Three-Dimensional Flow Fields. Phys. Fluids A 1990, 2:765-777. PFADEB, 0899-8213, 10.1063/1.857730
49. Hussain A.K. M. F. Reynolds W.C. Measurements in Fully Developed Turbulent Channel Flow. ASME J. Fluids Eng. 1975, 97:568-580. JFEGA4, 0098-2202
50. Mittal R. Simmons S.P. Najjar F. Numerical Study of Pulsatile Flow in a Constricted Channel. J. Fluid Mech. 2003, 485:337-378. JFLSA7, 0022-1120, 10.1017/S002211200300449X