Wideband and isotropic room acoustics simulation using 2-D interpolated FDTD schemes

Authors:
Konrad Kowalczyk;Maarten Van Walstijn
Affiliations:
Sonic Arts Research Center and School of Electronics, Electrical Engineering and Computer Science, Queen's University, Belfast, Northern Ireland, UK;Sonic Arts Research Center and School of Electronics, Electrical Engineering and Computer Science, Queen's University, Belfast, Northern Ireland, UK
Venue:
IEEE Transactions on Audio, Speech, and Language Processing
Year:
2010

Citing 4
Cited 1

Finite difference schemes and partial differential equations

Finite difference schemes and partial differential equations
Improved Discrete-Time Modeling of Multi-Dimensional Wave Propagation Using the Interpolated Digital Waveguide Mesh

ICASSP '97 Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '97) -Volume 1 - Volume 1
Virtual reality system with integrated sound field simulation and reproduction

EURASIP Journal on Applied Signal Processing
The KW-Boundary Hybrid Digital Waveguide Mesh for Room Acoustics Applications

IEEE Transactions on Audio, Speech, and Language Processing

An FDTD scheme on a face-centered-cubic (FCC) grid for the solution of the wave equation

Journal of Computational Physics

Quantified Score

Hi-index	0.01

Visualization

Abstract

In this paper, a complete method for finite-difference time-domain modeling of rooms in 2-D using compact explicit schemes is presented. A family of interpolated schemes using a rectilinear, nonstaggered grid is reviewed, and the most accurate and isotropic schemes are identified. Frequency-dependent boundaries are modeled using a digital impedance filter formulation that is consistent with locally reacting surface theory. A structurally stable and efficient boundary formulation is constructed by carefully combining the boundary condition with the interpolated scheme. An analytic prediction formula for the effective numerical reflectance is given, and a stability proof provided. The results indicate that the identified accurate and isotropic schemes are also very accurate in terms of numerical boundary reflectance, and outperform directly related methods such as Yee's scheme and the standard digital waveguide mesh. In addition, one particular scheme--referred to here as the interpolated wideband scheme--is suggested as the best scheme for most applications.