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Numerical Simulation of Fluid–Structure Interaction in Human Phonation: Application

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Martin Larsson

    (Norwegian University of Science and Technology (NTNU), Department of Energy and Process Engineering (EPT))

  • Bernhard Müller

    (Norwegian University of Science and Technology (NTNU), Department of Energy and Process Engineering (EPT))

Abstract

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.

Suggested Citation

  • Martin Larsson & Bernhard Müller, 2010. "Numerical Simulation of Fluid–Structure Interaction in Human Phonation: Application," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 571-578, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_61
    DOI: 10.1007/978-3-642-11795-4_61
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