The influence of the acoustic feedback on the fluid-structure interaction within single-reed mouthpieces: A numerical investigation
Andrey Ricardo da Silva, Gary P. Scavone · The Journal of the Acoustical Society of America · 2007
The aim of this article is to complement a previous numerical study conducted to investigate the flow behavior in single-reed woodwind instruments during dynamic regimes with a moving reed [J. Acoust. Soc. Am. 120, 3362 (2006)]. The code uses a fully-coupled scheme based on the lattice Boltzmann method and on a finite-difference scheme to represent the interaction between the reed and the fluid field. The previous study had suggested that, during a dynamic regime and in the absence of acoustic feedback, the flow behavior diverges significantly from what is predicted by the current quasi-stationary models based on the Bernoulli obstruction theory. The present work provides a further investigation on the same topic by taking into account the influence of the acoustic feedback from the bores open end and its interaction with the mean flow within the mouthpiece-reed system. This is achieved by coupling the previous mouthpiece-reed model to a digital waveguide whose reflection function is described by a low-order digital filter to represent the open-end boundary condition. [The first author would like to thank CAPES for supporting his doctoral research.]