Using the lattice Boltzmann method to study the open-pipe end correction

Abstract

The lattice Boltzmann method (LBM) is a well-known and often used computational technique to simulate air-flow in musical instruments. Most LBM simulations in musical acoustics published in the past have used unrealistic values for air viscosity and have focused their study on other aspects of the instrument than the open-end. Due to recent experimental discoveries, it is now interesting to focus more on the behavior at the open end of the a musical instrument, such as an organ pipe, while also including realistic playing parameters and fluid characteristics. This paper will discuss the model improvements necessary to investigate the end correction of open-ended musical instruments with LBM. Comparison of results will be made with a Comsol Multiphysics model and experimental work using transmission electronic speckle pattern interferometry (TESPI).