![]() The C-TDIBC allows a lumped representation of a linear acoustic system to be specified as a boundary condition of an LB model. Aiming at more efficient computational aeroacoustic simulations, a Characteristic-based Time-Domain Impedance Boundary Condition (C-TDIBC) is proposed in this paper with application to a single-reed instrument. However, such aeroacoustic models tend to be computationally expensive, as they require both the instrument and the radiation domain to be discretized in order to capture the fully-coupled fluid-solid-acoustic interactions. The Lattice Boltzmann (LB) method has proven to be a useful tool for the aeroacoustic study of single-reed instruments. National Science Foundation grant PHY1806231.ĪBSTRACT. The observation of similar hysteretic behavior in both experiments with, and simulations of, such a simple instrument geometry makes this an ideal system for understanding this behavior at a fundamental level. Both studies also find that at pressures between the upward and downward transition points the same final blowing conditions can produce steady and stable tones with very different spectral contents depending on the blowing history. Our experimental and simulation studies in which the blowing pressure is swept either upwards or downwards with time both show that the thresholds for switching from C5 to C6 (dominant spectral component ~2xf1) or G6 (~3xf1) can be quite different for upward and downward sweeps. This instrument had no tone holes, and a total length and fundamental frequency f1 (~520 Hz) equal to those of a soprano recorder. We report studies of this hysteresis using experiments and Navier-Stokes-based simulations of a simple instrument consisting of a commercial soprano recorder head (Yamaha YRS23) connected to a cylindrical resonator. However, the factors that determine and affect such behavior are not well understood. It is known that flue instruments can exhibit hysteretic behavior, by which we mean that the tone produced by a particular fingering with a particular blowing pressure can depend on the prior history of the blowing pressure.
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