Modeling Frequency-Dependent Boundaries as Digital Impedance Filters in FDTD and K-DWM Room Acoustics Simulations

Konrad Kowalczyk, Maarten Van Walstijn

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)

Abstract

A new method for modeling-frequency-dependent boundaries in finite-difference time-domain (FDTD) and Kirchhoff variable digital waveguide mesh (K-DWM) room acoustics simulations is presented. The proposed approach allows the direct incorporation of a digital impedance filter (DIF) in the Multidimensional (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 analyzed 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 matches locally reacting surface (LRS) theory closely. Furthermore a numerical boundary analysis (NBA) formula is provided as a technique for an analytic evaluation of the numerical reflectance of the proposed digital impedance filter boundary formulation.
Original languageEnglish
Pages (from-to)569-583
Number of pages15
JournalJournal of the Audio Engineering Society
Volume56
Issue number7-8
Publication statusPublished - Jul 2008

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Acoustics and Ultrasonics

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