Numerical simulation of confined pulsating jets in human phonation

Abstract Confined pulsating jets in simplified two-dimensional models of the larynx are considered to study human phonation. The jets are generated by periodically oscillating inlet velocities in stationary vocal tracts. The jets are computed by solving the 2D compressible Navier–Stokes equations by a high order finite difference method, which has been constructed to be strictly stable for linear hyperbolic and parabolic problems. Vortex dynamics is investigated.

[1]  Jan Nordström,et al.  Finite Difference Approximations of Second Derivatives on Summation by Parts Form , 2003 .

[2]  Gunnar Fant,et al.  Acoustic Theory Of Speech Production , 1960 .

[3]  H. Kreiss,et al.  Time-Dependent Problems and Difference Methods , 1996 .

[4]  C. Corre,et al.  High-order residual-based compact schemes for advection–diffusion problems , 2008 .

[5]  Bernhard Müller,et al.  High order numerical simulation of Aeolian tones , 2008 .

[6]  H. Kreiss,et al.  On the stability definition of difference approximations for the initial boundary value problem , 1993 .

[7]  Jörn Sesterhenn,et al.  On the Cancellation Problem in Calculating Compressible Low Mach Number Flows , 1999 .

[8]  Christophe Eric Corre,et al.  A residual-based compact scheme for the compressible Navier-Stokes equations , 2001 .

[9]  Wei Zhao,et al.  Computational aeroacoustics of phonation, part I: Computational methods and sound generation mechanisms. , 2002, The Journal of the Acoustical Society of America.

[10]  B. Strand.  Summation by parts for finite difference approximations for d/dx , 1994 .

[11]  J. Nordström,et al.  Summation by Parts Operators for Finite Difference Approximations of Second-Derivatives with Variable Coefficients , 2004, Journal of Scientific Computing.

[12]  T. Poinsot.  Boundary conditions for direct simulations of compressible viscous flows , 1992 .

[13]  Luc Mongeau,et al.  Computational aeroacoustics of phonation, part II: Effects of flow parameters and ventricular folds. , 2002, The Journal of the Acoustical Society of America.

[14]  Jörn Sesterhenn,et al.  Computation of compressible low Mach number flow , 1992 .

[15]  S. Frankel,et al.  Numerical Simulations of Sound from Confined Pulsating Axisymmetric Jets , 2001 .