Source directivity approximation for finite-difference time-domain simulation by estimating initial value

Daiki Takeuchi, Kohei Yatabe, Yasuhiro Oikawa

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In order to incorporate a directive sound source into acoustic simulation using the finite-difference time-domain method (FDTD), this paper proposes an optimization-based method to estimate the initial value which approximates a desired directional pattern after propagation. The proposed method explicitly considers a discretized FDTD scheme and optimizes the initial value directly in the time domain so that every effect of the discretization error of FDTD, including numerical dispersion, is taken into account. It is also able to consider a frequency-wise directivity by integrating the Fourier transform into the optimization procedure, even though the estimated result is defined in the time domain. After the optimization, the obtained result can be utilized in any acoustic simulation based on the same FDTD scheme without modification because the result is represented as the initial value to be propagated and no additional procedure is required.

Original languageEnglish
Pages (from-to)2638-2649
Number of pages12
JournalJournal of the Acoustical Society of America
Volume145
Issue number4
DOIs
Publication statusPublished - 2019 Apr 1

Fingerprint

directivity
finite difference time domain method
estimating
acoustic simulation
approximation
optimization
simulation
propagation
acoustics
Approximation
Simulation
estimates

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

@article{9bd3770b613948f78acf4e4f924859d9,
title = "Source directivity approximation for finite-difference time-domain simulation by estimating initial value",
abstract = "In order to incorporate a directive sound source into acoustic simulation using the finite-difference time-domain method (FDTD), this paper proposes an optimization-based method to estimate the initial value which approximates a desired directional pattern after propagation. The proposed method explicitly considers a discretized FDTD scheme and optimizes the initial value directly in the time domain so that every effect of the discretization error of FDTD, including numerical dispersion, is taken into account. It is also able to consider a frequency-wise directivity by integrating the Fourier transform into the optimization procedure, even though the estimated result is defined in the time domain. After the optimization, the obtained result can be utilized in any acoustic simulation based on the same FDTD scheme without modification because the result is represented as the initial value to be propagated and no additional procedure is required.",
author = "Daiki Takeuchi and Kohei Yatabe and Yasuhiro Oikawa",
year = "2019",
month = "4",
day = "1",
doi = "10.1121/1.5096163",
language = "English",
volume = "145",
pages = "2638--2649",
journal = "Journal of the Acoustical Society of America",
issn = "0001-4966",
publisher = "Acoustical Society of America",
number = "4",

}

TY - JOUR

T1 - Source directivity approximation for finite-difference time-domain simulation by estimating initial value

AU - Takeuchi, Daiki

AU - Yatabe, Kohei

AU - Oikawa, Yasuhiro

PY - 2019/4/1

Y1 - 2019/4/1

N2 - In order to incorporate a directive sound source into acoustic simulation using the finite-difference time-domain method (FDTD), this paper proposes an optimization-based method to estimate the initial value which approximates a desired directional pattern after propagation. The proposed method explicitly considers a discretized FDTD scheme and optimizes the initial value directly in the time domain so that every effect of the discretization error of FDTD, including numerical dispersion, is taken into account. It is also able to consider a frequency-wise directivity by integrating the Fourier transform into the optimization procedure, even though the estimated result is defined in the time domain. After the optimization, the obtained result can be utilized in any acoustic simulation based on the same FDTD scheme without modification because the result is represented as the initial value to be propagated and no additional procedure is required.

AB - In order to incorporate a directive sound source into acoustic simulation using the finite-difference time-domain method (FDTD), this paper proposes an optimization-based method to estimate the initial value which approximates a desired directional pattern after propagation. The proposed method explicitly considers a discretized FDTD scheme and optimizes the initial value directly in the time domain so that every effect of the discretization error of FDTD, including numerical dispersion, is taken into account. It is also able to consider a frequency-wise directivity by integrating the Fourier transform into the optimization procedure, even though the estimated result is defined in the time domain. After the optimization, the obtained result can be utilized in any acoustic simulation based on the same FDTD scheme without modification because the result is represented as the initial value to be propagated and no additional procedure is required.

UR - http://www.scopus.com/inward/record.url?scp=85065187965&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065187965&partnerID=8YFLogxK

U2 - 10.1121/1.5096163

DO - 10.1121/1.5096163

M3 - Article

C2 - 31046384

AN - SCOPUS:85065187965

VL - 145

SP - 2638

EP - 2649

JO - Journal of the Acoustical Society of America

JF - Journal of the Acoustical Society of America

SN - 0001-4966

IS - 4

ER -