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Research Papers

A Coupled Sharp-Interface Immersed Boundary-Finite-Element Method for Flow-Structure Interaction With Application to Human Phonation

[+] Author and Article Information
X. Zheng, Q. Xue

Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218

R. Mittal1

Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218mittal@jhu.edu

S. Beilamowicz

Division of Otolaryngology, George Washington University, Washington, DC 20052

1

Corresponding author.

J Biomech Eng 132(11), 111003 (Oct 15, 2010) (12 pages) doi:10.1115/1.4002587 History: Received September 24, 2009; Revised September 02, 2010; Posted September 21, 2010; Published October 15, 2010; Online October 15, 2010

A new flow-structure interaction method is presented, which couples a sharp-interface immersed boundary method flow solver with a finite-element method based solid dynamics solver. The coupled method provides robust and high-fidelity solution for complex flow-structure interaction (FSI) problems such as those involving three-dimensional flow and viscoelastic solids. The FSI solver is used to simulate flow-induced vibrations of the vocal folds during phonation. Both two- and three-dimensional models have been examined and qualitative, as well as quantitative comparisons, have been made with established results in order to validate the solver. The solver is used to study the onset of phonation in a two-dimensional laryngeal model and the dynamics of the glottal jet in a three-dimensional model and results from these studies are also presented.

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Copyright © 2010 by American Society of Mechanical Engineers
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References

Figures

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Figure 2

2D illustration of contact force. The upper vocal fold intrudes into the center contact plane.

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Figure 5

Grid used in the current simulation. The figure shows every three grid points in each direction.

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Figure 6

Variation of fundamental frequency with subglottal pressure

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Figure 7

Time variation of two-dimensional glottal volume fluxes in the stationary vibration stage

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Figure 8

Contours of spanwise vorticity during vocal fold vibration: (a) 0.3384 s, (b) 0.3398 s, (c) 0.3409 s, and (d) 0.3454 s

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Figure 9

Contours of stresses (kPa) in the vocal folds during the open and closed phases of the vibration cycle

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Figure 10

Flow domain in the 3D flow-structure simulation and finite-element mesh for the true vocal folds

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Figure 11

Time variation of three-dimensional glottal volume flux in the stationary vibration stage

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Figure 12

Isosurface of swirl strength at six different time instants over one vocal fold vibration cycle: (a) 0.0245 s, (b) 0.02625 s, (c) 0.02695 s, (d) 0.02765 s, (e) 0.02800 s, and (f) 0.02870 s

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Figure 13

Isosurface of the turbulent kinetic energy corresponding to a value of KT=0.15 and a contour of turbulent kinetic energy at the center plane (z=0.75 cm)

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Figure 14

(a) Five locations along the center line in X-Y plane chosen to perform the flow spectrum analysis. ((b)–(f)) Span-averaged streamwise velocity spectra: (b) point 1 (x=3.025 cm), (c) point 2 (x=3.175 cm), (d) point 3 (x=3.325 cm), (e) point 4 (x=3.575 cm), and (f) point 5 (x=3.975 cm). Dash-dot line -⋅-⋅-⋅-⋅-⋅- corresponds to k−5/3.

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Figure 3

Schematic flow past an elastically mounted sphere

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Figure 4

(a) A coronal view of CT scan of human larynx and the current flow domain that attempts to match the key geometrical features in the CT scan. (b) Three-layer vocal fold inner structure inside an idealized geometric VF model based on CT scan and triangular elements used in the current solver.

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Figure 1

2D schematic describing ghost-cell methodology

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