Numerical Simulation of Flow Induced Vocal Folds Vibration by Stabilized Finite Element Method

Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)

Abstract

This paper is interested in the numerical simulation of human vocal folds vibration induced by fluid flow. A two-dimensional problem of fluid-structure interaction is mathematically formulated. An attention is paid to the description of a robust method based on finite element approximation. In order to capture the typical flow velocities involved in the physical model resulting in high Reynolds numbers, the modified Streamline-Upwind/Petrov-Galerkin stabilization is applied. The mathematical description of the considered problem is presented, where the arbitrary Lagrangian-Euler method is used to describe the fluid flow in time dependent domain. The viscous incompressible fluid flow and linear elasticity models are considered. Further, the numerical scheme is described for the fluid flow and the elastic body motion. The implemented coupling procedure is explained. The numerical results are shown.

Notes

Acknowledgements

This work was supported by grant No. GA 16-01246S of the Czech Science Foundation and by grant No. SGS16/206/OHK2/3T/12 of CTU in Prague.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Jan Valášek
    • 1
  • Petr Sváček
    • 1
  • Jaromír Horáček
    • 2
  1. 1.Faculty of Mechanical EngineeringCTU in PraguePraha 2Czech Republic
  2. 2.Institute of ThermomechanicsAcademy of Sciences of the Czech RepublicPraha 8Czech Republic

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