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Volume 12, Issue 3
Numerical Simulation of Glottal Flow in Interaction with Self Oscillating Vocal Folds: Comparison of Finite Element Approximation with a Simplified Model

P. Sváček & J. Horáček

DOI: 10.4208/cicp.011010.280611s

Commun. Comput. Phys., 12 (2012), pp. 789-806.

Published online: 2012-12

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  • Abstract

In this paper the numerical method for solution of an aeroelastic model describing the interactions of air flow with vocal folds is described. The flow is modelled by the incompressible Navier-Stokes equations spatially discretized with the aid of the stabilized finite element method. The motion of the computational domain is treated with the aid of the Arbitrary Lagrangian Eulerian method. The structure dynamics is replaced by a mechanically equivalent system with the two degrees of freedom governed by a system of ordinary differential equations and discretized in time with the aid of an implicit multistep method and strongly coupled with the flow model. The influence of inlet/outlet boundary conditions is studied and the numerical analysis is performed and compared to the related results from literature.

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@Article{CiCP-12-789, author = {Sváček , P. and Horáček , J.}, title = {Numerical Simulation of Glottal Flow in Interaction with Self Oscillating Vocal Folds: Comparison of Finite Element Approximation with a Simplified Model}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {3}, pages = {789--806}, abstract = {

In this paper the numerical method for solution of an aeroelastic model describing the interactions of air flow with vocal folds is described. The flow is modelled by the incompressible Navier-Stokes equations spatially discretized with the aid of the stabilized finite element method. The motion of the computational domain is treated with the aid of the Arbitrary Lagrangian Eulerian method. The structure dynamics is replaced by a mechanically equivalent system with the two degrees of freedom governed by a system of ordinary differential equations and discretized in time with the aid of an implicit multistep method and strongly coupled with the flow model. The influence of inlet/outlet boundary conditions is studied and the numerical analysis is performed and compared to the related results from literature.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.011010.280611s}, url = {http://global-sci.org/intro/article_detail/cicp/7314.html} }
TY - JOUR T1 - Numerical Simulation of Glottal Flow in Interaction with Self Oscillating Vocal Folds: Comparison of Finite Element Approximation with a Simplified Model AU - Sváček , P. AU - Horáček , J. JO - Communications in Computational Physics VL - 3 SP - 789 EP - 806 PY - 2012 DA - 2012/12 SN - 12 DO - http://doi.org/10.4208/cicp.011010.280611s UR - https://global-sci.org/intro/article_detail/cicp/7314.html KW - AB -

In this paper the numerical method for solution of an aeroelastic model describing the interactions of air flow with vocal folds is described. The flow is modelled by the incompressible Navier-Stokes equations spatially discretized with the aid of the stabilized finite element method. The motion of the computational domain is treated with the aid of the Arbitrary Lagrangian Eulerian method. The structure dynamics is replaced by a mechanically equivalent system with the two degrees of freedom governed by a system of ordinary differential equations and discretized in time with the aid of an implicit multistep method and strongly coupled with the flow model. The influence of inlet/outlet boundary conditions is studied and the numerical analysis is performed and compared to the related results from literature.

Sváček , P. and Horáček , J.. (2012). Numerical Simulation of Glottal Flow in Interaction with Self Oscillating Vocal Folds: Comparison of Finite Element Approximation with a Simplified Model. Communications in Computational Physics. 12 (3). 789-806. doi:10.4208/cicp.011010.280611s
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