Abstract
This paper is interested in the mathematical modelling of the voice production process. The main attention is on the possible closure of the glottis, which is included in the model with the concept of a fictitious porous media and using the Hertz impact force The time dependent computational domain is treated with the aid of the Arbitrary Lagrangian-Eulerian method and the fluid motion is described by the incompressible Navier-Stokes equations coupled to structural dynamics. In order to overcome the instability caused by the dominating convection due to high Reynolds numbers, stabilization procedures are applied and numerically analyzed for a simplified problem. The possible distortion of the computational mesh is considered. Numerical results are shown.
Highlights
The voice production mechanism is a complex process consisting of a fluid-structure-acoustic interaction problem, where the coupling between fluid flow, viscoelastic tissue deformation and acoustics is crucial, see [1]
The considered problem can be mathematically described as a problem of fluid-structure interaction with the involvement of the contact problem of the vocal folds
In order to include the interactions of the fluid flow with solid body deformation an the contact problem, a simplified model problem is considered
Summary
The voice production mechanism is a complex process consisting of a fluid-structure-acoustic interaction problem, where the coupling between fluid flow, viscoelastic tissue deformation and acoustics is crucial, see [1]. The considered problem can be mathematically described as a problem of fluid-structure interaction with the involvement of the (periodical) contact problem of the vocal folds. In order to include the interactions of the fluid flow with solid body deformation an the contact problem, a simplified model problem is considered. This model is similar to the simplified two mass model of the vocal folds of [2], see the aeroelastic model in [3]. The simplified lumped vocal fold model is considered, where the contact is treated with the aid of the Hertz impact forces.
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