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The FDTD(2, 4) method for highly accurate acoustic analysis in three-dimensional space

Recently, simulation has become important in the field of acoustics. As an acoustic simulation method, the FDTD (Finite‐Difference Time‐Domain) method has been proposed. However, when this method is applied to a large‐scale propagation analysis such as indoor acoustic propagation, the phase error ca...

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Bibliographic Details
Published in:Electronics & communications in Japan. Part 3, Fundamental electronic science Fundamental electronic science, 2003-11, Vol.86 (11), p.30-37
Main Authors: Sendo, Yuuki, Kudo, Hironori, Kashiwa, Tatsuya, Ohtani, Tadao
Format: Article
Language:English
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Summary:Recently, simulation has become important in the field of acoustics. As an acoustic simulation method, the FDTD (Finite‐Difference Time‐Domain) method has been proposed. However, when this method is applied to a large‐scale propagation analysis such as indoor acoustic propagation, the phase error cannot be neglected and causes a problem in the analysis. Therefore, a highly accurate method of analysis that can reduce the phase error is strongly desired. In the present paper, a three‐dimensional FDTD(2, 4) method with second‐ and fourth‐order accuracy in time and space is formulated as a highly accurate method of analysis. Also, the numerical dispersion and stability condition, which are important for understanding the characteristics of the method, are derived. It is demonstrated that the present method provides much greater accuracy than the FDTD method. © 2003 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 86(11): 30–37, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjc.10076
ISSN:1042-0967
1520-6440
DOI:10.1002/ecjc.10076