An Energy Conserving Finite Difference Scheme for the Simulation of Collisions in Snare Drums

Abstract

In this paper, a physics-based model for a snare drum will be discussed, along with its finite difference simulation. The interactions between a mallet and the membrane and between the snares and the membrane will be described as perfectly elastic collisions. A novel numerical scheme for the implementation of collisions will be presented, which allows a complete energy analysis for thewhole system. Viscothermal losses will be added to the equation for the 3D wave propagation. Results from simulations and sound examples will be presented