FDTD Methods for 3-D Room Acoustics Simulation with High-order Accuracy in Space and Time

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Time-domain finite difference (FDTD) methods are popular tools for 3-D room acoustics modeling, but numerical dispersion is an inherent problem that can place limitations on the usable bandwidth of a given scheme. Compact explicit 27-point schemes and "large-star" schemes with high-order spatial differences offer improvements to the simplest scheme, but are ultimately limited by their second-order accuracy in time. In this paper, we use modified equation methods to derive FDTD schemes with high orders of accuracy in both space and time, resulting in significant improvements in numerical dispersion as compared to the aforementioned schemes. In comparison to such schemes, the high-order accurate schemes presented in this paper use significantly less memory and fewer operations when low error tolerances in numerical phase velocities are critical, leading to higher usable bandwidths for auralization purposes. Simulation results are also presented, demonstrating improved approximations to modal frequencies of a shoe-box room and free-space propagation of a bandlimited pulse.
Original languageEnglish
Pages (from-to)2112-2124
JournalIEEE/ACM Transactions on Audio, Speech and Language Processing
Issue number11
Early online date25 Aug 2017
Publication statusPublished - Nov 2017

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