Numerical Analysis and Scientific Computing seminar | Janelle Resch, Examining Nonlinear Wave Propagation in the Trumpet

MC 5158

Speaker

Janelle Resch, Department of Applied Mathematics, University of Waterloo

Title

Examining Nonlinear Wave Propagation in the Trumpet

Abstract

This seminar will focus on sound production and propagation in brass instruments, specifically the trumpet. Linear and nonlinear wave propagation will be discussed and the effects on the acoustics of the instrument will be examined. To determine the general behaviour of linear and nonlinear waves, experiments have been carried out on a trumpet and will be presented. These experiments will help us establish if the nonlinear distortion is strong enough to have musical consequences. Additionally, by using the discontinuous Galerkin numerical method, a model of the system will be considered. It will then be compared with the experimental data to verify how well we were able to describe the nonlinear wave motion within a trumpet.