Explicit Higher-Order FDTD Schemes for 3D Room Acoustic Simulation

Jelle Van Mourik; Damian Thomas Murphy

doi:10.1109/TASLP.2014.2341913

Explicit Higher-Order FDTD Schemes for 3D Room Acoustic Simulation

Jelle Van Mourik, Damian Thomas Murphy

Electronic Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The Finite Difference Time Domain method is gaining popularity as a means to simulate and solve room acoustical problems. In this paper, a new set of stencils is defined that approximate the wave equation with a high degree of accuracy and lower dispersion error. Compared to the previously presented optimal scheme, the Interpolated Wideband scheme, our schemes are computationally less demanding and more practical to implement. They use at least 8 times less memory for the same audio rate and are an order of magnitude faster, although the former has a higher valid bandwidth. Despite their larger computational expense per node update, it is shown that our schemes on the whole use less memory and computation time than the Standard Rectilinear stencil, particularly when GPU implementations are employed. Lastly, a new way of visualizing and comparing valid bandwidth is recommended.

Original language	English
Pages (from-to)	2003-2011
Number of pages	9
Journal	IEEE Transactions On Audio Speech And Language Processing
Volume	22
Issue number	12
Early online date	23 Jul 2014
DOIs	https://doi.org/10.1109/TASLP.2014.2341913
Publication status	Published - 1 Dec 2014

Keywords

audio
auralisation
FDTD METHOD

Access to Document

10.1109/TASLP.2014.2341913

Cite this

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title = "Explicit Higher-Order FDTD Schemes for 3D Room Acoustic Simulation",

abstract = "The Finite Difference Time Domain method is gaining popularity as a means to simulate and solve room acoustical problems. In this paper, a new set of stencils is defined that approximate the wave equation with a high degree of accuracy and lower dispersion error. Compared to the previously presented optimal scheme, the Interpolated Wideband scheme, our schemes are computationally less demanding and more practical to implement. They use at least 8 times less memory for the same audio rate and are an order of magnitude faster, although the former has a higher valid bandwidth. Despite their larger computational expense per node update, it is shown that our schemes on the whole use less memory and computation time than the Standard Rectilinear stencil, particularly when GPU implementations are employed. Lastly, a new way of visualizing and comparing valid bandwidth is recommended.",

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