Time domain simulation of flute-like musical instruments
B. Fabre, A. van Steenbergen · The Journal of the Acoustical Society of America · 1991
The time-domain description of musical flute-like instruments as proposed by Mc Intyre, Schumacher, and Woodhouse [J. Acoust. Soc. Am. 74, 1325–1345 (1983)] has not yet been fully exploited. A major problem is the very slow transient behavior of the model. For such models, based on the analysis of Fletcher [J. Acoust. Soc. Am. 60, 926–936 (1976)], the nonlinearity is only due to the jet drive saturation. The transient behavior is linear because this nonlinearity is “smooth” and does not affect low amplitude oscillations. Linear theory is most useful as it allows an analytical solution of the problem. Comparison between the analytical solution and the numerical results indicates that the discretization can significantly affect the oscillation behavior. This effect is demonstrated for a simple flute model.