Analysis of the numerical properties of the transmission line matrix model for outdoor sound propagation

Outdoor sound propagation modeling can be performed through various numerical models. Nowadays, time-domain methods are widely used and enable accurate simulations for most of the physical phenomena involved in environmental acoustics. However, transmission line matrix (TLM) method remains relatively poorly documented. In this paper, a thorough review stability analysis provided. The model leads to more robust understanding its link with wave equation using Taylor expansions. Two different cases considered: homogeneous non-dissipative medium an inhomogeneous dissipative one. shows quantification inherent dispersion error highlights similarities finite difference scheme. To conclude, experiment aims characterize precisely limitations applied outdoor propagation.