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An Attempt to Simulate Fluid-walls Interactions during Velar Stops

 Pascal Perrier, Yohan Payan, Joseph Perkell, Majid Zandipour, Xavier Pelorson, Vincent Coisy and Melanie Matthies
  
 

Abstract:

This paper presents a quantitative assessment of the role of the interaction between the airflow in the vocal tract and the mechanical structures delimiting it (the "fluid-walls interaction") in the shaping of complex articulatory paths, called articulatory loops, that are observed during the production of a velar consonant C, in VCV sequences. The work is based on simulations made with a 2D biomechanical model of the tongue coupled with a model of the airflow. The tongue model includes the main muscles responsible for shaping and moving the tongue in the midsagittal plane (posterior and anterior parts of the genioglossus, styloglossus, hyoglossus, inferior and superior longitudinalis and verticalis). Elastic properties of tissues are accounted for by finite-element (FE) modeling of the tongue mesh in 2D defined by 221 nodes and isoparametric elements. Muscles are modeled as general force generators that (1) act on anatomically specified sets of nodes of the FE structure, and (2) modify the stiffness of specific elements of the model to account for muscle insertions into tongue tissues. Collisions between tongue surface and palatal or velar contours are also modeled. The computation of the force generated during the contact is based on "a penalty method", modeling a non-linear relationship between contact force and position/velocity of points located on the tongue surface. For the sake of simplicity, the flow model is based on a simple 2D potential flow theory, accounting for viscous losses as a perturbation of the inviscid solution. In addition, flow separation effects within a vocal tract constriction are taken into account. These effects are, indeed, crucial to determine accurately the distribution of pressure, and then of the hydrodynamical forces, within the constriction. [VCV] sequences were simulated, where C was a velar consonant. Our results suggest that for low to normal levels of subglottal pressure the contribution of the "fluid-walls interaction" is slight in comparison with the contribution of the biomechanics, especially for back vowels. But in case of a strong subglottal pressure this contribution could be significant essentially because the Bernouilli effect is important. This could, in particular, explain the forward loop observed for [k] in [ika]. [Work supported by CNRS (France), NSF and NIH (U.S.A.)]

 
 


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