A simple multiband approach for solving frequency dependent problems in numerical time domain methods

Sheaffer, J, Fazenda, BM ORCID: https://orcid.org/0000-0002-3912-0582, Murphy, DT and Angus, JAS 2011, A simple multiband approach for solving frequency dependent problems in numerical time domain methods , in: Forum Acusticum, 26 June - 1 July 2011, Aalborg, Denmark.

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With the rapid growth of computational power and recent advances in GP-GPU technology, numerical time domain methods are becoming increasingly popular for room acoustics applications due to their accuracy, simplicity and ease of implementation. However, in order to model realistic spaces one should consider boundary conditions and source directivity functions as empirically measured frequency dependent quantities. Previously suggested methods rely on performing time domain convolution or employing recursive filters at the boundaries of the domain. Although shown to be highly accurate, these formulations normally involve complex implementations which not only reduce the attractiveness of using such methods, but may also result in computationally expensive algorithms. In this paper we examine a straightforward approach for solving such frequency dependent problems at the expense of being able to run a single broadband simulation. Using the finite difference time domain (FDTD) method, a number of band-limited frequency independent simulations are initiated in intervals depending on the availability of empirical impedance and directivity data and the desired spectral resolution. Generated impulse responses are filtered according to their respective frequency bandwidths and summed to produce a single frequency dependent impulse response. Intermediate values are automatically interpolated based on the characteristics of the chosen post processing filters. Results are analysed and validated and agreement with theoretical models is shown.

Item Type: Conference or Workshop Item (Paper)
Schools: Schools > School of Computing, Science and Engineering
Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title: Proceedings of Forum Acusticum
Publisher: S. Hirzel
Refereed: No
Depositing User: Jonathan Sheaffer
Date Deposited: 04 Jul 2011 12:18
Last Modified: 15 Feb 2022 17:54
URI: https://usir.salford.ac.uk/id/eprint/16555

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