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

Numerical Simulation of Glottal Flow in Interaction with Self Oscillating Vocal Folds: Comparison of Finite Element Approximation with a Simplified Model
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Year:    2012

Author:    P. Sváček, J. Horáček

Communications in Computational Physics, Vol. 12 (2012), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.011010.280611s

Communications in Computational Physics, Vol. 12 (2012), Iss. 3 : pp. 789–806

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:   

Author Details

P. Sváček

J. Horáček

  1. FE numerical simulation of incompressible airflow in the glottal channel periodically closed by self-sustained vocal folds vibration

    Sváček, Petr | Horáček, Jaromír

    Journal of Computational and Applied Mathematics, Vol. 393 (2021), Iss. P.113529

    https://doi.org/10.1016/j.cam.2021.113529 [Citations: 6]

  2. Finite element approximation of flow induced vibrations of human vocal folds model: Effects of inflow boundary conditions and the length of subglottal and supraglottal channel on phonation onset

    Sváček, Petr | Horáček, Jaromír

    Applied Mathematics and Computation, Vol. 319 (2018), Iss. P.178

    https://doi.org/10.1016/j.amc.2017.02.026 [Citations: 6]

  3. On finite element solution of aeroacoustic and vibro acoustic problems related to human phonation

    Sváček, Petr

    INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020, (2022), P.020014

    https://doi.org/10.1063/5.0081757 [Citations: 0]

  4. Numerical solution of fluid-structure interaction represented by human vocal folds in airflow

    Valášek, J. | Sváček, P. | Horáček, J. | Dančová, P. | Veselý, M.

    EPJ Web of Conferences, Vol. 114 (2016), Iss. P.02130

    https://doi.org/10.1051/epjconf/201611402130 [Citations: 1]
  5. Fluid-Structure Interaction and Biomedical Applications

    Numerical Simulation of Fluid–Structure Interaction Problems with Applications to Flow in Vocal Folds

    Feistauer, Miloslav | Sváček, Petr | Horáček, Jaromír

    2014

    https://doi.org/10.1007/978-3-0348-0822-4_5 [Citations: 9]
  6. Numerical Mathematics and Advanced Applications ENUMATH 2019

    Numerical Approximation of Fluid-Structure Interaction Problem in a Closing Channel Near the Stability Boundary

    Valášek, Jan | Sváček, Petr | Horáček, Jaromír

    2021

    https://doi.org/10.1007/978-3-030-55874-1_107 [Citations: 0]

  7. On aerodynamic force computation in fluid–structure interaction problems — Comparison of different approaches

    Valášek, Jan | Sváček, Petr

    Journal of Computational and Applied Mathematics, Vol. 429 (2023), Iss. P.115208

    https://doi.org/10.1016/j.cam.2023.115208 [Citations: 2]
  8. Mathematical Methods for Engineering Applications

    On Mathematical Modelling of Flow Induced Vocal Folds Vibrations During Phonation

    Sváček, Petr

    2022

    https://doi.org/10.1007/978-3-030-96401-6_20 [Citations: 0]

  9. Numerical approximations of flow induced vibrations of vocal folds

    Sváček, Petr | Dančová, P.

    EPJ Web of Conferences, Vol. 143 (2017), Iss. P.02123

    https://doi.org/10.1051/epjconf/201714302123 [Citations: 0]

  10. Validation of a flow–structure-interaction computation model of phonation

    Bhattacharya, Pinaki | Siegmund, Thomas

    Journal of Fluids and Structures, Vol. 48 (2014), Iss. P.169

    https://doi.org/10.1016/j.jfluidstructs.2014.02.017 [Citations: 7]
  11. Numerical Mathematics and Advanced Applications ENUMATH 2015

    Numerical Approximation of Interaction of Fluid Flow and Elastic Structure Vibrations

    Valášek, Jan | Sváček, Petr | Horáček, Jaromír

    2016

    https://doi.org/10.1007/978-3-319-39929-4_56 [Citations: 0]

  12. Mathematical modelling and numerical simulation of flow induced vibrations of vocal folds model with collisions

    Sváček, Petr | Valášek, Jan

    CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST), (2019), P.030003

    https://doi.org/10.1063/1.5113987 [Citations: 0]
  13. Fluids Under Control

    Numerical Simulation of Fluid-Structure-Acoustic Interactions Models of Human Phonation Process

    Sváček, Petr | Valášek, Jan

    2023

    https://doi.org/10.1007/978-3-031-27625-5_11 [Citations: 0]

  14. Aeroacoustic simulation of human phonation based on the flow-induced vocal fold vibrations including their contact

    Valášek, Jan | Sváček, Petr

    Advances in Engineering Software, Vol. 194 (2024), Iss. P.103652

    https://doi.org/10.1016/j.advengsoft.2024.103652 [Citations: 0]