Numerical Simulation of Glottal Flow in Interaction with Self Oscillating Vocal Folds: Comparison of Finite Element Approximation with a Simplified Model
P. Svacek 1*, J. Horacek 21 Department of Technical Mathematics, Faculty of Mechanical Engineering, Czech Technical University in Prague, Karlovo nam. 13, Praha 2, 121 35, Czech Republic.
2 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Dolejskova 5, Praha 8, Czech Republic.
Received 1 October 2010; Accepted (in revised version) 28 June 2011
Available online 1 March 2012
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.AMS subject classifications: 74F10, 65Z05, 76D05
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Key words: Finite element method, arbitrary Lagrangian-Eulerian method, biomechanics of voice production.
Email: Petr.Svacek@fs.cvut.cz (P. Svacek), firstname.lastname@example.org (J. Horacek)