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

In this paper the problem of mutual interaction of incompressible viscous fluid flow with an elastic structure is considered. A model problem of aiflow induced vibratioon of a simplified human vocal folds model is studied. The main attention is paid to the problem of the periodical collisions of vocal folds. First, these collisions are taken into account in the flow model by the application of a suitable inlet boundary condition. Further, in the structure model the contact is resolved with the aid of application of Hertz forces. Numerical results are shown.In this paper the problem of mutual interaction of incompressible viscous fluid flow with an elastic structure is considered. A model problem of aiflow induced vibratioon of a simplified human vocal folds model is studied. The main attention is paid to the problem of the periodical collisions of vocal folds. First, these collisions are taken into account in the flow model by the application of a suitable inlet boundary condition. Further, in the structure model the contact is resolved with the aid of application of Hertz forces. Numerical results are shown.