A hybrid waveguide model of the transverse flute
Mark A. Bartsch · The Journal of the Acoustical Society of America · 1999
Recent years have seen substantial improvements in the modeling and synthesis of jet-reed instruments such as flutes and organ pipes. Developments in the modeling of woodwinds using so-called digital waveguides have allowed the efficient acoustical modeling of the main body and toneholes of the instrument. Further, a new and more complete model of the jet’s behavior in the presence of the edge and the resonator has been formulated for recorderlike instruments [Verge et al., J. Acoust. Soc. Am. 101, 2925–2939 (1997)]. A new simulation model of the transverse flute is presented which combines the contributions of digital waveguide modeling and the new source model. This new model is defined almost entirely by physical parameters (such as dimensions of the instrument) rather than by the arbitrary adjustment parameters often employed. The model is evaluated by comparing the effects of certain parameters on the model’s operation with their effects on the performance of an actual flute. The model is further evaluated for its tuning characteristics by comparing its frequencies of oscillation with the sounding frequencies of a simple flute with matched physical parameters. [Work supported by the University of Dayton Honors Program.]