Numerical Simulation of Fluid–Structure Interaction in Human Phonation: Application
Fluid-structure interaction in a simplified two-dimensional model of the larynx is considered in order to study human phonation. The flow is driven by an imposed pressure gradient across the glottis and interacts with the moving vocal folds in a self-sustained oscillation. The flow is computed by solving the 2D compressible Navier–Stokes equations using a high order finite difference method, which has been constructed to be strictly stable for linear hyperbolic and parabolic problems. The motion of the vocal folds is obtained by integrating the elastodynamic equations with a neo-Hookean constitutive model using a similar high order difference method as for the flow equations. Fluid and structure interact in a two-way coupling. In each time step at the fluid-structure interface, the structure provides the fluid with new no-slip boundary conditions and new grid velocities, and the fluid provides the structure with new traction boundary conditions.
Unable to display preview. Download preview PDF.
- 5.M. Larsson. Numerical Simulation of Human Phonation, Master Thesis, Uppsala University, Department of Information Technology, 2007Google Scholar
- 7.M. Larsson and B. Müller. Numerical simulation of fluid-structure interaction in human phonation. In B. Skallerud and H.I. Andersson, editors, MekIT 09 Fifth National Conference on Computational Mechanics, pages 261–280, Tapir, Trondheim, 2009Google Scholar
- 8.M. Larsson and B. Müller. Numerical simulation of fluid–structure interaction in human phonation: Verification of structure part. In Proceedings of ICOSAHOM 09 International Conference on Spectral and High Order Methods, Trondheim, Norway, 2009Google Scholar
- 9.B. Müller. Computation of compressible low Mach number flow, Habilitation Thesis, ETH Zürich, 1996Google Scholar
- 11.R.W. Ogden. Non-linear elastic deformations. Ellis Horwood, Chichester, 1984Google Scholar
- 18.O.C. Zienkiewicz and R.L. Taylor. The finite element method for solid and structural mechanics, 5th edition. Elsevier, Amsterdam, 2000Google Scholar