Modelling Frequency-Dependent Boundaries as Digital Impedance Filters in FDTD Room Acoustic Simulations

Kowalczyk K, van Walstijn M. Modelling Frequency-Dependent Boundaries as Digital Impedance Filters in FDTD Room Acoustic Simulations. In: AES Convention 124. Audio Engineering Society; 2008. Paper 7430. Available from: https://aes.org/publications/elibrary-page/?id=14560

@inproceedings{Kowalczyk2008_14560,
  author = {Kowalczyk, Konrad and van Walstijn, Maarten},
  title = {{Modelling Frequency-Dependent Boundaries as Digital Impedance Filters in FDTD Room Acoustic Simulations}},
  booktitle = {AES Convention 124},
  note = {Paper 7430},
  year = {2008},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=14560}
}

TY  - CPAPER
TI  - Modelling Frequency-Dependent Boundaries as Digital Impedance Filters in FDTD Room Acoustic Simulations
AU  - Kowalczyk, Konrad
AU  - van Walstijn, Maarten
T2  - AES Convention 124
M1  - Paper 7430
PY  - 2008
DA  - 2008/05/06
UR  - https://aes.org/publications/elibrary-page/?id=14560
PB  - Audio Engineering Society
LA  - en
AB  - This paper presents a new method for modelling frequency-dependent boundaries in finite difference time domain (FDTD) and Kirchhoff variable digital waveguide mesh (K-DWM) room acoustics simulations. The proposed approach allows direct incorporation of a digital impedance filter (DIF) in the multi-dimensional (i.e.\ 2D or 3D) FDTD boundary model of a locally reacting surface. An explicit boundary update equation is obtained by carefully constructing a suitable recursive formulation. The method is analysed in terms of pressure wave reflectance for different wall impedance filters and angles of incidence. Results obtained from numerical experiments confirm the high accuracy of the proposed digital impedance filter boundary model, the reflectance of which closely matches locally reacting surface (LRS) theory. Furthermore, a numerical boundary analysis (NBA) formula is provided as a technique for analytic evaluation of the numerical reflectance of the proposed digital impedance filter boundary formulation.
ER  -