Numerical study on sound vibration of an air-reed instrument with compressible LES

TL;DR

This study uses compressible LES to numerically analyze the sound vibrations in an air-reed instrument, successfully reproducing sound oscillations and exploring the relationship between sound frequency and jet velocity.

Contribution

It introduces a numerical approach with compressible LES to simulate air-reed instrument acoustics, validating semi-empirical theories through simulation.

Findings

Successful reproduction of sound oscillations in the model

Validation of semi-empirical relations between frequency and jet velocity

Insights into the acoustic behavior of air-reed instruments

Abstract

Acoustic mechanics of air-reed instruments is investigated numerically with compressible Large-eddy simulation (LES). Taking a two dimensional air-reed instrument model, we have succeeded in reproducing sound oscillations excited in the resonator and have studied the characteristic feature of air-reed instruments, i.e., the relation of the sound frequency with the jet velocity described by the semi-empirical theory developed by Cremer & Ising, Coltman and other authors based on experimental results.