# On finite element approximation of incompressible fluid flow in computational domain with vibrating walls: mathematical models for treatment of channel closing

Petr Sváček

## Abstract

In this paper a simplified  mathematical model of a voice production problem is considered. Here we focus on modelling  of the glottis closure, which is an important part of phonation process. A simplified vocal fold model describing the vocal fold vibrations with two degrees of freedom is considered and coupled with a simplified model of the fluid flow described by the incompressible Navier-Stokes equations. The vocal fold vibrations cause a deformation of the fluid computational domain which is treated with the aid the Arbitrary Lagrangian-Eulerian method. The vibrations  can possible lead to an appearance of the vocal folds contact. This situation is treated with the aid of a combination of inlet boundary conditions, a fictitious porous media approach and the Hertz impact forces. Numerical method is based on the stabilized finite element method. Numerical results are presented.

## Article Details

How to Cite
Sváček, P. (2020). On finite element approximation of incompressible fluid flow in computational domain with vibrating walls: mathematical models for treatment of channel closing. Proceedings Of The Conference Algoritmy, , 71 - 80. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/1556/820
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Articles

## References

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