Numerical calculation of flute impedances and standing waves
William J. Strong, Neville H. Fletcher, Ron K. Silk · The Journal of the Acoustical Society of America · 1985
The purpose of this study was to investigate a numerical method for calculating impedances and standing wave patterns of flute structures. To this end, the physical dimensions of flute joints and tone holes were used to compute impedance and standing waves as a function of frequency for several different fingerings. Numerically computed resonance frequencies for head joint, middle and foot joints, and complete flute are compared to experimentally measured values. Computed pressure standing wave patterns for two fingerings of A6 are compared to experimental values. Reasons for the observed discrepancies between the predicted and experimental frequencies are discussed.