Three-Dimensional Sound Field Analysis Using Compact Explicit-Finite Difference Time Domain Method with Graphics Processing Unit Cluster System

• Takuto Ishii

• Takao Tsuchiya

• Kan Okubo

Abstract

In this study, the compact explicit-finite difference time domain (CE-FDTD) method is applied to the three-dimensional sound field analysis to reduce computer resources. There are various derivative schemes in the CE-FDTD method. They are first examined theoretically to evaluate the numerical accuracy. As a theoretical result, it is found that the interpolated wide band (IWB) scheme has the widest bandwidth in which the cut-off frequency is in agreement with the Nyquist frequency. The calculation performance is theoretically estimated, then experimentally evaluated with the graphics processing unit cluster system. As a result, it is found that the memory usage of the IWB scheme is less than one-third of that of the standard leapfrog (SLF) scheme to achieve the same cut-off frequency. It is also found that the calculation time of the IWB scheme with the shared memory is about 19% compared with that of the SLF scheme with the graphics processing unit (GPU) cluster system. The impulse response is calculated for a large room with a volume capacity of about 4500 m 3 in which the sampling rate was 40 kHz. It is confirmed that the three-dimensional sound field with the natural reverberation can be calculated by the IWB scheme.

Journal

• Japanese Journal of Applied Physics

  Japanese Journal of Applied Physics 52 (7S), 07HC11-, 2013-07-01

  IOP Publishing

Keywords

• General Physics and Astronomy
• General Engineering

Details

• CRID: 1360847874817428096
• NII Article ID: 210000142489
• DOI: 10.7567/jjap.52.07hc11
• ISSN: 13474065
• ISSN: 00214922
• Web Site: https://iopscience.iop.org/article/10.7567/JJAP.52.07HC11
• Web Site: https://iopscience.iop.org/article/10.7567/JJAP.52.07HC11/pdf
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  • CiNii Articles