Dissipative time-domain one-dimensional model for viscothermal acoustic propagation in wind instruments

Accurate modeling of the acoustic propagation in tubes varying cross section musical acoustics must include effects viscous and thermal boundary layers. Models viscothermal losses are classically written frequency domain. An approximate time-domain model is proposed which all physical parameters instrument, bore shape or wave celerity, explicit coefficients. The depends on absolute tabulated constants, only reflect that pipe axisymmetric. It can be understood as a telegrapher's equations augmented by an adjustable number auxiliary unknowns. A global energy dissipated. time discretization based variational approximation along with numerical experiments comparisons other models.