A comparison of nonstaggered compact FDTD schemes for the 3D wave equation

Konrad Kowalczyk; Maarten Van Walstijn

doi:10.1109/ICASSP.2010.5496043

A comparison of nonstaggered compact FDTD schemes for the 3D wave equation

Konrad Kowalczyk, Maarten Van Walstijn

Research output: Contribution to conference › Paper

10 Citations (Scopus)

458 Downloads (Pure)

Abstract

This paper aims at providing a better insight into the 3D approximations of the wave equation using compact finite-difference time-domain (FDTD) schemes in the context of room acoustic simulations. A general family of 3D compact explicit and implicit schemes based on a nonstaggered rectilinear grid is analyzed in terms of stability, numerical error, and accuracy. Various special cases are compared and the most accurate explicit and implicit schemes are identified. Further considerations presented in the paper include the direct relationship with other numerical approaches found in the literature on room acoustic modeling such as the 3D digital waveguide mesh and Yee's staggered grid technique.

Original language	English
Pages	197-200
Number of pages	4
DOIs	https://doi.org/10.1109/ICASSP.2010.5496043
Publication status	Published - Mar 2010
Event	IEEE International Conference on Acoustics, Speech, and Signal Processing 2010 - Dallas, United States Duration: 14 Mar 2010 → 19 Mar 2010 https://doi.org/10.1109/ICASSP15600.2010

Conference

Conference	IEEE International Conference on Acoustics, Speech, and Signal Processing 2010
Abbreviated title	ICASSP 2010
Country/Territory	United States
City	Dallas
Period	14/03/2010 → 19/03/2010
Internet address	https://doi.org/10.1109/ICASSP15600.2010

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10.1109/ICASSP.2010.5496043

A comparison of nonstaggered compact FDTD schemes for the 3D wave equationFinal published version, 673 KB

10 Citations
1 Article

Physical and numerical constraints in source modeling for finite difference simulation of room acoustics
Sheaffer, J., Walstijn, M. V. & Fazenda, B., 15 Jan 2014, In: The Journal of the Acoustical Society of America. 135, 1, p. 251-261 11 p.
Research output: Contribution to journal › Article › peer-review

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34 Citations (Scopus)

765 Downloads (Pure)

Cite this

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title = "A comparison of nonstaggered compact FDTD schemes for the 3D wave equation",

abstract = "This paper aims at providing a better insight into the 3D approximations of the wave equation using compact finite-difference time-domain (FDTD) schemes in the context of room acoustic simulations. A general family of 3D compact explicit and implicit schemes based on a nonstaggered rectilinear grid is analyzed in terms of stability, numerical error, and accuracy. Various special cases are compared and the most accurate explicit and implicit schemes are identified. Further considerations presented in the paper include the direct relationship with other numerical approaches found in the literature on room acoustic modeling such as the 3D digital waveguide mesh and Yee's staggered grid technique.",

author = "Konrad Kowalczyk and {Van Walstijn}, Maarten",

year = "2010",

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doi = "10.1109/ICASSP.2010.5496043",

language = "English",

pages = "197--200",

note = "IEEE International Conference on Acoustics, Speech, and Signal Processing 2010, ICASSP 2010 ; Conference date: 14-03-2010 Through 19-03-2010",

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AB - This paper aims at providing a better insight into the 3D approximations of the wave equation using compact finite-difference time-domain (FDTD) schemes in the context of room acoustic simulations. A general family of 3D compact explicit and implicit schemes based on a nonstaggered rectilinear grid is analyzed in terms of stability, numerical error, and accuracy. Various special cases are compared and the most accurate explicit and implicit schemes are identified. Further considerations presented in the paper include the direct relationship with other numerical approaches found in the literature on room acoustic modeling such as the 3D digital waveguide mesh and Yee's staggered grid technique.

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DO - 10.1109/ICASSP.2010.5496043

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T2 - IEEE International Conference on Acoustics, Speech, and Signal Processing 2010

Y2 - 14 March 2010 through 19 March 2010

ER -

A comparison of nonstaggered compact FDTD schemes for the 3D wave equation

Abstract

Conference

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Research output

Physical and numerical constraints in source modeling for finite difference simulation of room acoustics

Cite this