Abstract
In this paper the numerical study of a simplified model of airflow through glot- tal region of the human vocal tract is addressed and the self-oscillating vocal fold is modelled. The main attention is paid to comparison of approximation of a cou- pled fluid–structure interaction problems to results of aeroelastic model published in [5]. In order do compare these approaches a simplified geometrical domain is considered.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. Codina. Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods. Computational Method in Applied Mechanical Engineering, 190:1579–1599, 2000.
T. A. Davis and I. S. Duff. A combined unifrontal/multifrontal method for unsymmetric sparse matrices. ACM Transactions on Mathematical Software, 25:1–19, 1999.
V. Dolejší. Anisotropic mesh adaptation technique for viscous flow simulation. East-West Journal of Numerical Mathematics, 9:1–24, 2001.
T. Gelhard, G. Lube, M. A. Olshanskii, and J.-H. Starcke. Stabilized finite element schemes with LBB-stable elements for incompressible flows. Journal of Computational and Applied Mathematics, 177:243–267, 2005.
J. Horáček and J. G. Švec. Instability boundaries of a vocal fold modelled as a flexibly rigid body vibrating in a channel conveying fluid. AMD, American Society of Mechanical Engineers, Applied Mechanics Division, 253(2):1043–1054, 2002.
J. Horáček, P. Šidlof, and J.G. Švec. Numerical simulation of self-oscillations of human vocal folds with Hertz model of impact forces. Journal of Fluids and Structures, 20(6):853–869, 2005.
P. Sváček and M. Feistauer. Application of a Stabilized FEM to Problems of Aeroelasticity. In Numerical Mathematics and Advanced Application, pages 796–805, Berlin, 2004. Springer.
P. Sváček, M. Feistauer, and J. Horáček. Numerical simulation of flow induced airfoil vibrations with large amplitudes. Journal of Fluids and Structure, 23(3):391–411, 2007.
Acknowledgements
This research was supported under the Project OC 09019 “Modelling of voice production based on biomechanics” within the program COST of the Ministry of Education of the Czech Republic, under grant No. 201/08/0012 of the Grant Agency of the Czech Republic and the Research Plan MSM 6840770003 of the Ministry of Education of the Czech Republic.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sváček, P., Horáček, J. (2011). Numerical Approximation of Flow Induced Vibration of Vocal Folds. In: Clavero, C., Gracia, J., Lisbona, F. (eds) BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods. Lecture Notes in Computational Science and Engineering, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19665-2_24
Download citation
DOI: https://doi.org/10.1007/978-3-642-19665-2_24
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19664-5
Online ISBN: 978-3-642-19665-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)